Bernhard P. Lampe - Böcker

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).

Although the transfer function approach is widely used in classical control theory, computer-controlled continuous-time processes are a very important subset of periodic sampled-data systems which are not treatable using ordinary transfer functions.The authors show how parametric transfer functions, which incorporate time-dependence, can be used to give a complete exposition of analysis and design methods for multi-input, multi-output (MIMO) sampled-data systems.Multivariable Computer-controlled Systems is divided into three parts:- Preliminary algebraic material necessary in later chapters.- Control problems, important in their own right but also having a substantial bearing on what follows.- Frequency methods for the investigation of MIMO sampled-data systems (parametric discrete-time models; stability; stochastic methods; H2 optimization and L2 design).Appendices covering basic mathematical formulae and two MATLAB® toolboxes round out this self-contained guide.

Although the transfer function approach is widely used in classical control theory, computer-controlled continuous-time processes are a very important subset of periodic sampled-data systems which are not treatable using ordinary transfer functions.The authors show how parametric transfer functions, which incorporate time-dependence, can be used to give a complete exposition of analysis and design methods for multi-input, multi-output (MIMO) sampled-data systems.Multivariable Computer-controlled Systems is divided into three parts:- Preliminary algebraic material necessary in later chapters.- Control problems, important in their own right but also having a substantial bearing on what follows.- Frequency methods for the investigation of MIMO sampled-data systems (parametric discrete-time models; stability; stochastic methods; H2 optimization and L2 design).Appendices covering basic mathematical formulae and two MATLAB® toolboxes round out this self-contained guide.

This book introduces the reader to a novel method of mathematical description, analysis and design of digital control systems, which makes it possible to take into account, in the most complete form, specific features of interaction between continuous-time and discrete time processes. Though general ideas for the method have been made public more for more than half a century, it is only in the last few years that attempts to develop a closed general theory for systems of this class based on the bilateral Laplace transformation and parametric transfer function concepts, have been successful.This book offers a unified view of different digital control and filter problems, especially the direct design of optimal digital control algorithms for continuous-time plants of arbitrary structure is presented. The book is written in a text book style with numerous examples and figures that will help the reader become aquainted with new material. The reader can also use the MATLAB toolbox DirectSD to study the numerical examples of the book or to solve practical problems.The book provides a deeper understanding of what happens in computer controlled systems and makes it possible to acquire competence to solve practical problems.

Computer-Controlled Systems with Delay is a systematic study of the problems of analysis and synthesis for multidimensional sampled-data (SD) systems with delay.