A constrained tracking control algorithm for linear systems based on a spline‐type parameter‐dependent Lyapunov function. (13th April 2014)

• Record Type: Journal Article
• Authors: Wada, N.; Saeki, M.; Masubuchi, I.
• Is Part Of: International journal of robust and nonlinear control. Volume 25:Number 12(2015)
• Page Start: 1877
• Page End: 1896
• Publication Date: 2014-04-13
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3183
• Languages: English
• ISSNs: 1049-8923

Abstract

<abstract abstract-type="main" id="rnc3183-abs-0001"> <title>Summary</title> <p id="rnc3183-para-0001">In this paper, we propose a design method of a tracking control law for discrete‐time linear systems with actuator saturation. The feedback gain of the control law is actively changed online so that the control performance is improved based on the information of the state variable and the reference signal. The control law is designed with considering the rate of convergence of the tracking error. The design condition of the control law is derived as polynomially parameter‐dependent matrix inequalities, and a spline‐type parameter‐dependent Lyapunov function and a convex polytope are used to reduce the design condition to a finite number of LMIs. Three numerical examples are provided to illustrate effectiveness of the method. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>