Robust control of linear time-invariant plants using periodic compensation. (English) Zbl 0573.93013

This paper considers the use and design of linear periodic time-varying controllers for the feedback control of linear time-invariant discrete- time plants. It is shown that for a large class of robustness problems, periodic compensators are superior to time-invariant ones. Explicit design techniques are given which can be easily implemented. In the context of periodic controllers, the strong and simultaneous stabilisation problems are considered. Finally, it is shown that for the problem of weighted sensitivity minimisation for linear time-invariant plants, time-varying controllers offer no advantage over the time- invariant ones.
Reviewer: J.O’Reilly


93B35 Sensitivity (robustness)
93C05 Linear systems in control theory
93D15 Stabilization of systems by feedback
49J30 Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
93C99 Model systems in control theory
93B50 Synthesis problems
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