Fixed-architecture controller synthesis for systems with input-output time-varying nonlinearities

Wassim M. Haddad, Vikram Kapila

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
Number of pages5
StatePublished - 1995
EventProceedings of the 1995 American Control Conference. Part 1 (of 6) - Seattle, WA, USA
Duration: Jun 21 1995Jun 23 1995


OtherProceedings of the 1995 American Control Conference. Part 1 (of 6)
CitySeattle, WA, USA

ASJC Scopus subject areas

  • Control and Systems Engineering


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