Linear-matrix-inequality-based approach to H controller synthesis of uncertain continuous-time piecewise linear systems

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

29 Scopus Citations
View graph of relations



Original languageEnglish
Pages (from-to)295-301
Journal / PublicationIEE Proceedings: Control Theory and Applications
Issue number3
Publication statusPublished - 23 May 2004


The authors present an H controller synthesis method for uncertain piecewise linear systems that is based on a piecewise smooth Lyapunov function. It is shown that the stability and the disturbance attenuation performance of the closed-loop control system can be achieved with this piecewise Lyapunov function and the control law can be obtained by solving a set of linear matrix inequalities. A simulation example is used to illustrate the proposed approach.