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The H∞ disturbance rejection problem for a family of linear systems subject to control input constraints is considered. A class of controllers generalizing the standard Riccati equation-based state feedback is proposed and an estimate of their domain of validity is derived. A simple criterion for tuning controller parameters for validity domain maximization and local performance improvement is presented.
In this paper we consider the problem of evaluating the performance of state feedback H∞ controllers for a class of nonlinear systems with respect to the domain of validity. The class under study is a generalization of the well-known Lur'e systems. The set of controllers is derived from a class of storage functions of the Lur'e-Postnikov type whose integral term is parameterized by a nonlinear scalar...
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