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

Khargonekar, Pramod P.; Poolla, Kameshwar; Tannenbaum, Allen

IEEE Trans. Autom. Control 30, 1088-1096 (1985).

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

MSC:

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

Keywords:

linear periodic time-varying controllers; feedback control; linear time- invariant discrete-time plants; strong and simultaneous stabilisation; weighted sensitivity minimisation