On the design and properties of multivariable dead time compensators. (English) Zbl 0532.93022
This paper is concerned with the design of a multivariable dead time compensator for multi-input, multi-output linear stationary control systems with multiple lumped delays. An analytical design method which takes into account the stability and sensitivity properties of the systems is presented. Moreover, conditions for practical stability and estimates on allowable tolerances in models used in dead time compensators are derived with the aid of diagonal dominance theory. Methods for determining controller gains are also presented. The results given in the paper are generalizations of the previous results formulated in a paper of B. A. Ogunnaike and N. H. Ray [Multivariable controller design for linear systems having multiple time-delays”, J. Amer. Inst. Chem. Engrs. 25, 1043 (1979)]. Illustrative examples presented in the paper demonstrate the usefullness of the main results. Moreover, some additional valuable comments and remarks are given.
Reviewer: J.Klamka
MSC:
| 93B50 | Synthesis problems |
| 34K35 | Control problems for functional-differential equations |
| 93C35 | Multivariable systems, multidimensional control systems |
| 93C05 | Linear systems in control theory |
| 93D15 | Stabilization of systems by feedback |
| 93D25 | Input-output approaches in control theory |
| 93C99 | Model systems in control theory |
| 93B35 | Sensitivity (robustness) |
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