Gain-scheduled dynamic output feedback control for discrete-time LPV systems

Author(s)

De Caigny, J. ^[1] ; Camino, J. F. ^[2] ; Oliveira, R. C. L. F. ^[3] ; Peres, P. L. D. ^[3] ; Swevers, J. ^[1]

Affiliation

^[1] Katholieke Univ Leuven, Dept Mech Engn, B-3001 Heverlee - Belgium

^[2] Univ Campinas UNICAMP, Sch Mech Engn, BR-13083860 Campinas, SP - Brazil

^[3] Univ Campinas UNICAMP, Sch Elect & Comp Engn, BR-13082852 Campinas, SP - Brazil

• Document type: Journal article
• Source: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL; v. 22, n. 5, p. 535-558, MAR 25 2012.
• Web of Science Citations: 46

Abstract

This paper presents synthesis conditions for the design of gain-scheduled dynamic output feedback controllers for discrete-time linear parameter-varying systems. The state-space matrix representation of the plant and of the controller can have a homogeneous polynomial dependency of arbitrary degree on the scheduling parameter. As an immediate extension, conditions for the synthesis of a multiobjective H?8 and H?2 gain-scheduled dynamic feedback controller are also provided. The scheduling parameters vary inside a polytope and are assumed to be a priori unknown, but measured in real-time. If bounds on the rate of parameter variation are known, they can be taken into account, providing less conservative results. The geometric properties of the uncertainty domain are exploited to derive finite sets of linear matrix inequalities based on the existence of a homogeneous polynomially parameter-dependent Lyapunov function. An application of the control design to a realistic engineering problem illustrates the benefits of the proposed approach. Copyright (c) 2011 John Wiley \& Sons, Ltd. (AU)

• FAPESP's process: 09/03304-5 - Experimental validation of identification and control techniques for LPV systems using a torsional vibration setup
• Grantee: Juan Francisco Camino
• Support Opportunities: Regular Research Grants