Communications and Control Engineering

Analysis and Design with Process-orientated Models

By: Efim N. Rosenwasser, Bernhard Lampe

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Paperback | 12 April 2000

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Digital elements such as signal processors, microcontrollers or industrial PCs are widely used for filtering and control of continuous-time processes or plants. Because of the serial operation mode of these digital elements the continuous- time processes cannot be served continuously. That is why continuous-time and discrete-time signals occur simultaneously in systems of this kind. The continuous (real) time also contains the discrete time instants - therefore, a complete and accurate description of such systems in continuous time is pos- sible. However, this description proves to be more complicated, because the hybrid system becomes time-variable, also in cases, where all continuous-time processes and all digital elements are time invariant. Often digital elements operate with a fixed time period T, that leads to a periodically time-variable system. Besides the time sampling the use of analogue to digital and digital to analogue converters together with the finite numerical precision of the processors also results in amplitude quantization of the measuring and control signals. Taking into account these effects would lead to nonlinear models. Because these effects are often of minor influence but difficult in handling, in theory and practice it is generally accepted to consider mainly the pure time-quantization effect. Systems containing both continuous-time and discrete-time signals are usually called sampled-data systems (SD systems).

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Operational transformations of functions of continuous and discrete arguments	p. 1
Bilateral Laplace transforms	p. 3
Operational transformations for discrete-time functions	p. 19
Displaced pulse frequency response	p. 29
Discrete LT for functions of a continuous argument	p. 51
Linear periodic operators and systems	p. 69
Linear time-invariant operators and systems	p. 71
Linear periodic operators and systems	p. 87
Analysis of linear periodic operators and systems	p. 109
Stochastic analysis and H[subscript 2] - norm of LPO	p. 125
Mathematical description of sampled-data systems in continuous time	p. 143
Open-loop SD systems	p. 145
Open-loop systems with a computer	p. 177
Closed-loop systems with a single sampling unit	p. 203
Systems with several sampling units	p. 229
Analysis of SD systems in continuous time	p. 255
Open-loop systems under deterministic disturbances	p. 257
Analysis of deterministic feedback SD systems	p. 281
Analysis of SD systems under stochastic disturbances	p. 323
Direct synthesis of SD systems	p. 343
Quadratic optimization of open-loop SD systems	p. 345
Direct design of feedback SD systems	p. 371
Direct polynomial-design methods	p. 409
Rational periodic functions	p. 435
DirectSD - a toolbox for direct design of SD systems	p. 457
Bibliography	p. 471
Index	p. 481
Table of Contents provided by Blackwell. All Rights Reserved.

Communications and Control Engineering

Analysis and Design with Process-orientated Models

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