Abstract
In this paper we develop a fixed-architecture controller analysis and synthesis framework that addresses the problem of multivariable linear time-invariant systems subject to plant input and output nonlinearities while accounting for robust stability and robust performance over the allowable class of nonlinearities. The proposed framework is based on the classical Lur'e problem and related Aizerman conjecture concerning the stability of a feedback loop involving a sector-bounded nonlinearity. Specifically, we extend the classical notions of absolute stability theory to guarantee closed-loop stability of multivariable systems in the presence of input nonlinearities. In order to capture closed-loop system performance we also consider the minimization of a quadratic performance criterion over the allowable class of input nonlinearities. The principal result is a set of constructive sufficient conditions for absolute stabilization characterized via a coupled system of algebraic Riccati and Lyapunov equations.
| Original language | English (US) |
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| Title of host publication | Proceedings of the American Control Conference |
| Pages | 4396-4400 |
| Number of pages | 5 |
| Volume | 6 |
| State | Published - 1995 |
| Event | Proceedings of the 1995 American Control Conference. Part 1 (of 6) - Seattle, WA, USA Duration: Jun 21 1995 → Jun 23 1995 |
Other
| Other | Proceedings of the 1995 American Control Conference. Part 1 (of 6) |
|---|---|
| City | Seattle, WA, USA |
| Period | 6/21/95 → 6/23/95 |
ASJC Scopus subject areas
- Control and Systems Engineering