Gain scheduled control for linear differential inclusions subject to constraint input

This paper is concerned with the problem of robust stabilization of linear differential inclusions (LDIs) subject to actuator saturation. A family of continuous controllers based on a parameter-dependent quadratic Lyapunov function (LF) are designed for a given worst-case disturbance while complying...

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Bibliographic Details
Published inChinese Control Conference pp. 1306 - 1310
Main Authors Pengyuan Li, Yuhu Wu, Xi-Ming Sun, Wei Wang
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, CAA 01.07.2017
Subjects
Actuator Saturation
Actuators
Closed loop systems
Ellipsoids
Gain Scheduled Controller
Linear Differential Inclusion
Linear matrix inequalities
Lyapunov methods
Optimization
Robust Control
Splines (mathematics)
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Summary:This paper is concerned with the problem of robust stabilization of linear differential inclusions (LDIs) subject to actuator saturation. A family of continuous controllers based on a parameter-dependent quadratic Lyapunov function (LF) are designed for a given worst-case disturbance while complying the saturation bounds. Based on the closed-loop behavior, the controller is selected such that the system has the best performance at each time. The internal stability and guaranteed performance can be obtained simultaneously through the dynamic gain scheduled control law. The benefit of the proposed scheme is presented via a numerical example.
ISSN:1934-1768
DOI:10.23919/ChiCC.2017.8027531