Monotonicity and Parametric Riccati Equation

Hongjiu Yang*, Yuanqing Xia, Qing Geng

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Estimation of the DoA is a key of control systems with actuator saturation which is applicable to various literatures [2, 26]. Ellipsoids are usually used as a shape of the DoA [93, 145]. Researches on the DoA have been given for uncertain polynomial continuous-time systems in [19]. Analytical approximation of a maximal invariant ellipsoid has been discussed for discrete-time systems with bounded controls [199]. The DoA has been given for linear time-invariant systems subject to disturbances and state constraints [133]. Monotonicity of a maximal invariant ellipsoid has been analyzed for a linear system with actuator saturation [197].

Original languageEnglish
Title of host publicationStudies in Systems, Decision and Control
PublisherSpringer International Publishing
Pages153-174
Number of pages22
DOIs
Publication statusPublished - 2019

Publication series

NameStudies in Systems, Decision and Control
Volume193
ISSN (Print)2198-4182
ISSN (Electronic)2198-4190

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