Computers and Hydraulics
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Control Theory
Control theory S. Simrock DESY, Hamburg, Germany Abstract In engineering and mathematics, control theory deals with the behaviour of dynamical systems. The desired output of a system is called the reference. When one or more output variables of a system need to follow a certain ref- erence over time, a controller manipulates the inputs to a system to obtain the desired effect on the output of the system. Rapid advances in digital system technology have radically altered the control design options. It has become routinely practicable to design very complicated digital controllers and to carry out the extensive calculations required for their design. These advances in im- plementation and design capability can be obtained at low cost because of the widespread availability of inexpensive and powerful digital processing plat- forms and high-speed analog IO devices. 1 Introduction The emphasis of this tutorial on control theory is on the design of digital controls to achieve good dy- namic response and small errors while using signals that are sampled in time and quantized in amplitude. Both transform (classical control) and state-space (modern control) methods are described and applied to illustrative examples. The transform methods emphasized are the root-locus method of Evans and fre- quency response. The state-space methods developed are the technique of pole assignment augmented by an estimator (observer) and optimal quadratic-loss control. The optimal control problems use the steady-state constant gain solution. Other topics covered are system identification and non-linear control. System identification is a general term to describe mathematical tools and algorithms that build dynamical models from measured data. -
'A Superb Explanatory Device': the MONIAC, an Early Hydraulic Analog Computer
‘A superb explanatory device’ The MONIAC, an early hydraulic analog computer Anna Corkhill Since 1953, the University of when it was rediscovered, partially rubber tubing and powered by a Melbourne has owned a rare restored and given a position in a mechanical pump. (In the prototype, machine: a hydraulic analog simple display case on level 1 of the the pump’s motor was recycled from computer capable of explaining the Economics and Commerce Building. a World War II Lancaster bomber, economy and performing complex The machine has recently been but the university’s MONIAC economic calculations. It is generally moved to the entrance of the new was commercially made.) It is known as the MONIAC (which Giblin Eunson Business, Economics approximately two metres high and stands for ‘MOnetary National and Education Library in the ICT one metre wide, with a metal backing Income Analog Computer’), Building, 111 Barry Street. enclosing the machine’s pump and though it has also been called Though a reasonably accurate connecting tubing. The machine has the ‘Financephalograph’, the computational device, the MONIAC’s three main water tanks, representing ‘National Income Monetary Flow key aim was to demonstrate taxes and government spending, Demonstrator’ and simply the Keynesian economic models in a savings and investment, and import– ‘Phillips Machine’, after its inventor, clear, visual way. As a pedagogical aid, export. The ‘active balances’ tank at Bill Phillips. The machine, one of it used coloured water to represent the bottom represents the total stock approximately 12 ever created, was money flowing through the economy, of currency and bank credit in the purchased by the Department of and showed the relationships between economy at any given time. -
Analog Computer on a Chip – Compiling Solutions
Analog Computer on a Chip – Compiling Solutions John Milios Nicolas Clauvelin Sendyne Corp. Sendyne Corp. New York, NY, USA New York, NY, USA [email protected] [email protected] Abstract --- The original room-sized analog computers of the sometimes if, they converge to a solution. The Columbia 1950s were programmed using paper drawings and manual cable University team, lead by Professor Yannis Tsividis, revisited the connections. The Apollo IC is the first digitally programmed analog old idea of analog computing and re-invented it using today’s computer, implemented in a 4x4 mm2 CMOS IC and capable of CMOS analog technology. The result was what we now call the solving problems with high speed and extremely low power. The Apollo IC, the first integrated, digitally programmable general high level programming language of an analog computer consists purpose analog computer (GPAC) chip [2] and associated of the differential equations describing the system to be simulated. computer board. Sendyne, through an exclusive license from The solution to each programmed model is achieved by the proper Columbia University used this technology to build the SA100, interconnection and calibration of the analog computer elements a digitally controlled analog computer that can be programmed in such a way as to implement the aforementioned differential and exchange data with a digital computer through a USB port equations. Deducing from the equations the right interconnections [3]. and implementing these in the analog computer circuitry is the role of an analog computer compiler. Such a compiler has been During the same period researchers at MIT started developed for the first time by MIT researchers for the Apollo IC investigating suitability of analog computing elements in analog computer. -
Computing Science Technical Report No. 99 a History of Computing Research* at Bell Laboratories (1937-1975)
Computing Science Technical Report No. 99 A History of Computing Research* at Bell Laboratories (1937-1975) Bernard D. Holbrook W. Stanley Brown 1. INTRODUCTION Basically there are two varieties of modern electrical computers, analog and digital, corresponding respectively to the much older slide rule and abacus. Analog computers deal with continuous information, such as real numbers and waveforms, while digital computers handle discrete information, such as letters and digits. An analog computer is limited to the approximate solution of mathematical problems for which a physical analog can be found, while a digital computer can carry out any precisely specified logical proce- dure on any symbolic information, and can, in principle, obtain numerical results to any desired accuracy. For these reasons, digital computers have become the focal point of modern computer science, although analog computing facilities remain of great importance, particularly for specialized applications. It is no accident that Bell Labs was deeply involved with the origins of both analog and digital com- puters, since it was fundamentally concerned with the principles and processes of electrical communication. Electrical analog computation is based on the classic technology of telephone transmission, and digital computation on that of telephone switching. Moreover, Bell Labs found itself, by the early 1930s, with a rapidly growing load of design calculations. These calculations were performed in part with slide rules and, mainly, with desk calculators. The magnitude of this load of very tedious routine computation and the necessity of carefully checking it indicated a need for new methods. The result of this need was a request in 1928 from a design department, heavily burdened with calculations on complex numbers, to the Mathe- matical Research Department for suggestions as to possible improvements in computational methods. -
The History of Computing in the History of Technology
The History of Computing in the History of Technology Michael S. Mahoney Program in History of Science Princeton University, Princeton, NJ (Annals of the History of Computing 10(1988), 113-125) After surveying the current state of the literature in the history of computing, this paper discusses some of the major issues addressed by recent work in the history of technology. It suggests aspects of the development of computing which are pertinent to those issues and hence for which that recent work could provide models of historical analysis. As a new scientific technology with unique features, computing in turn can provide new perspectives on the history of technology. Introduction record-keeping by a new industry of data processing. As a primary vehicle of Since World War II 'information' has emerged communication over both space and t ime, it as a fundamental scientific and technological has come to form the core of modern concept applied to phenomena ranging from information technolo gy. What the black holes to DNA, from the organization of English-speaking world refers to as "computer cells to the processes of human thought, and science" is known to the rest of western from the management of corporations to the Europe as informatique (or Informatik or allocation of global resources. In addition to informatica). Much of the concern over reshaping established disciplines, it has information as a commodity and as a natural stimulated the formation of a panoply of new resource derives from the computer and from subjects and areas of inquiry concerned with computer-based communications technolo gy. -
Analog Computation and Representation
Analog Computation and Representation Corey J. Maley forthcoming in The British Journal for the Philosophy of Science Abstract Relative to digital computation, analog computation has been neglected in the philosophical literature. To the extent that attention has been paid to analog computation, it has been misunderstood. The received view—that analog computation has to do essentially with continuity—is simply wrong, as shown by careful attention to historical examples of discontinuous, discrete analog computers. Instead of the received view, I develop an account of analog computation in terms of a particular type of analog representation that allows for discontinuity. This account thus characterizes all types of analog computation, whether continuous or discrete. Furthermore, the structure of this account can be generalized to other types of computation: analog computation essentially involves analog representation, whereas digital computation essentially involves digital representation. Besides being a necessary component of a complete philosophical understanding of computation in general, understanding analog computation is important for computational explanation in contemporary neuroscience and cognitive science. Those damn digital computers! Vannevar Bush, MIT 1 Introduction 2 Analog Computers 2.1 Mechanical analog computers 2.2 Electronic analog computers 2.3 Discontinuous analog elements 3 What makes analog computation ‘analog’ and ‘computational’ 3.1 Analog as continuity 3.2 Analog as covariation 3.3 What makes it ‘analog’ 3.4 What makes it ‘computation’ 4 Questions and Objections 4.1 Aren’t these just hybrid computers? 4.2 Is this really even computation? 4.3 The Lewis-Maley account is problematic 5 Concluding thoughts 1 Introduction Like clocks and audio recordings, computation comes in both digital and analog varieties. -
Computer History a Look Back Contents
Computer History A look back Contents 1 Computer 1 1.1 Etymology ................................................. 1 1.2 History ................................................... 1 1.2.1 Pre-twentieth century ....................................... 1 1.2.2 First general-purpose computing device ............................. 3 1.2.3 Later analog computers ...................................... 3 1.2.4 Digital computer development .................................. 4 1.2.5 Mobile computers become dominant ............................... 7 1.3 Programs ................................................. 7 1.3.1 Stored program architecture ................................... 8 1.3.2 Machine code ........................................... 8 1.3.3 Programming language ...................................... 9 1.3.4 Fourth Generation Languages ................................... 9 1.3.5 Program design .......................................... 9 1.3.6 Bugs ................................................ 9 1.4 Components ................................................ 10 1.4.1 Control unit ............................................ 10 1.4.2 Central processing unit (CPU) .................................. 11 1.4.3 Arithmetic logic unit (ALU) ................................... 11 1.4.4 Memory .............................................. 11 1.4.5 Input/output (I/O) ......................................... 12 1.4.6 Multitasking ............................................ 12 1.4.7 Multiprocessing ......................................... -
1. Types of Computers Contents
1. Types of Computers Contents 1 Classes of computers 1 1.1 Classes by size ............................................. 1 1.1.1 Microcomputers (personal computers) ............................ 1 1.1.2 Minicomputers (midrange computers) ............................ 1 1.1.3 Mainframe computers ..................................... 1 1.1.4 Supercomputers ........................................ 1 1.2 Classes by function .......................................... 2 1.2.1 Servers ............................................ 2 1.2.2 Workstations ......................................... 2 1.2.3 Information appliances .................................... 2 1.2.4 Embedded computers ..................................... 2 1.3 See also ................................................ 2 1.4 References .............................................. 2 1.5 External links ............................................. 2 2 List of computer size categories 3 2.1 Supercomputers ............................................ 3 2.2 Mainframe computers ........................................ 3 2.3 Minicomputers ............................................ 3 2.4 Microcomputers ........................................... 3 2.5 Mobile computers ........................................... 3 2.6 Others ................................................. 4 2.7 Distinctive marks ........................................... 4 2.8 Categories ............................................... 4 2.9 See also ................................................ 4 2.10 References -
A Brief History of IT
IT Computer Technical Support Newsletter A Brief History of IT May 23, 2016 Vol.2, No.29 TABLE OF CONTENTS Introduction........................1 Pre-mechanical..................2 Mechanical.........................3 Electro-mechanical............4 Electronic...........................5 Age of Information.............6 Since the dawn of modern computers, the rapid digitization and growth in the amount of data created, shared, and consumed has transformed society greatly. In a world that is interconnected, change happens at a startling pace. Have you ever wondered how this connected world of ours got connected in the first place? The IT Computer Technical Support 1 Newsletter is complements of Pejman Kamkarian nformation technology has been around for a long, long time. Basically as Ilong as people have been around! Humans have always been quick to adapt technologies for better and faster communication. There are 4 main ages that divide up the history of information technology but only the latest age (electronic) and some of the electromechanical age really affects us today. 1. Pre-Mechanical The earliest age of technology. It can be defined as the time between 3000 B.C. and 1450 A.D. When humans first started communicating, they would try to use language to make simple pictures – petroglyphs to tell a story, map their terrain, or keep accounts such as how many animals one owned, etc. Petroglyph in Utah This trend continued with the advent of formal language and better media such as rags, papyrus, and eventually paper. The first ever calculator – the abacus was invented in this period after the development of numbering systems. 2 | IT Computer Technical Support Newsletter 2. -
Science, Technology, and Society
Program in Science, Technology, and Society The Program in Science, Technology, and Society (STS) helps MIT offer an education that teaches scientists and engineers to engage the social and cultural dimensions of their work at the highest levels. This education sets MIT apart from the numerous engineering schools worldwide that turn out technical specialists. The STS program continues to distinguish itself as the leading department, and graduate program, of its kind in the United States. Educational Activities Undergraduate In 2015–2016, 58 students from 12 different majors were active STS concentrators. The largest representation came from Mechanical Engineering (Course 2) and Electrical Engineering and Computer Science (Course 6). One Course 20 student applied for a minor in STS, and one Course 2 student received approval to double major in STS. Two students worked with us on Undergraduate Research Opportunities Program (UROP) projects. Professor Emeritus Louis Bucciarelli supervised a Wellesley student on “Liberal Studies in Engineering,” and Professor John Durant supervised a student on “The Selfie Stealer.” Subjects and Enrollment STS offered 21 undergraduate subjects and 15 graduate subjects inAY2016, including eight Communication Intensive in the Humanities, Arts, and Social Sciences (CI- H) subjects. We continue to emphasize collaboration with other areas of MIT and offered 15 subjects jointly with the following programs: Aeronautics and Astronautics, Anthropology, Electrical Engineering and Computer Science, Engineering Systems Division, Health Sciences and Technology, History, Nuclear Science and Engineering, Political Science, and Urban Studies and Planning (DUSP). We offered three new undergraduate subjects this year, STS.002 Finance and Society, STS.049 The Long War Against Cancer, and STS.080J Youth Political Participation, and one new graduate class, STS.463J Technocracy. -
Origin of Computing
COMPUTING BY MARTIN CAMPBELL-KELLY The information age began with the realization that machines could emulate the power of minds n the standard story, the computer’s evolution has been brisk and short. It starts with the giant machines warehoused in World War III–era laboratories. Microchips shrink them onto desktops, Moore’s Law predicts how powerful they will become, and Micro- soft capitalizes on the software. Eventually small, inexpensive de- vices appear that can trade stocks and beam video around the world. That is one way to approach the history of computing—the history of solid-state electronics in the past 60 years. But computing existed long before the transistor. Ancient astron- omers developed ways to predict the motion of the heavenly bodies. The Greeks deduced the shape and size of Earth. Taxes were summed; distances mapped. Always, though, computing was a hu- man pursuit. It was arithmetic, a skill like reading or writing that helped a person make sense of the world. The age of computing sprang from the abandonment of this lim- KEY CONCEPTS itation. Adding machines and cash registers came first, but equally critical was the quest to organize mathematical computations using ■ The first “computers” what we now call “programs.” The idea of a program first arose in were people—individuals and teams who would the 1830s, a century before what we traditionally think of as the tediously compute sums by birth of the computer. Later, the modern electronic computers that hand to fill in artillery tables. came out of World War II gave rise to the notion of the universal computer—a machine capable of any kind of information process- ) ■ Inspired by the work of a com- ing, even including the manipulation of its own programs. -
Some Mathematical Limitations of the General-Purpose Analog Computer LEE A
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector ADVANCES IN APPLIED MATHEhfA’ITCS 9,22-34 (1988) Some Mathematical Limitations of the General-Purpose Analog Computer LEE A. RUBEL Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, Illinois 61801 DEDICATED TO THE MEMORY OF MARK KAc We prove that the Dirichlet problem on the disc cannot be solved by the general-purpose analog computer, by constructing, on the boundary, a function u,, that does satisfy an algebraic differential equation, but whose Poisson integral u satisfies no algebraic differential equation on some line segment inside the disc. 0 1988 Academic Press, Inc. INTRODUCTION The general-purpose analog computer (GPAC) is the mathematical ab- straction of several actual computing machines, of which the Bush differen- tial analyzer (see [KAK]) may be taken as the prototype. Although the differential analyzer and its successors were excellent machines for solving ordinary differential equations (ODES), they were not good at solving partial differential equations (PDEs). They attempted to do it by solving a large number of ODES one after the other, like scanning a square by a large number of horizontal lines, but this did not yield good results, either in the time taken or in the accuracy of the results. We discuss in this paper some of the theoretical limitations of the abstract GPAC as opposed to the practical limitations of actual machines. Our chief example will be the Dirichlet problem for the disc. We explicitly produce a function U&e”) that can be generated by a GPAC, such that if u(z)( = u(x, y) = u(re”)) is the solution of Laplace’s equation i3 2u/Jx2 + 6’ 2u/ay2 = 0 for ]z ] < 1 with boundary values U(Z) = u,,(ele) for (z] = 1, z = el’, then there does not exist any GPAC that produces u on a certain line segment inside the disc.