The transfer function approach is widely used in classical control
theory for its easy handling and physical meaning. Although the use
of transfer functions is well-established for linear time-invariant
systems, it is not suitable for non-stationary systems among which
are sampled-data systems and processes with periodically varying
coefficients. Computer-controlled continuous-time processes are a
very important subset of periodic sampled-data systems which are
not treatable using ordinary transfer functions.
Having established the ability of the parametric transfer
function to solve this problem for single-input, single-output
systems in previous work, the authors extend these methods, which
incorporate time-dependence, to the idea of the parametric transfer
matrix in a complete exposition of analysis and design methods for
multiple-input, multiple-output (MIMO) sampled-data systems.
Multivariable Computer-controlled Systems is divided into three
parts:
- Preliminary algebraic material describing the established
fundamentals of polynomial and rational matrices necessary for the
understanding of later chapters.
- Control problems, important in their own right but which also
have a substantial bearing on what follows (eigenvalue assignment
and the use of z- and zeta-transforms in discrete systems).
- 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 the
description of two MATLABA(R) toolboxes round out this
self-contained guide to multivariable control systems.
Of specialinterest to researchers in automatic control and to
development engineers working with advanced control technology,
Multivariable Computer-controlled Systems will also interest
mathematical control theorists and graduate students studying
advanced methods of computer-based control.
General
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