Nonlinear systems analysis (2nd ed.)
Nonlinear systems analysis (2nd ed.)
A Generalized Approach for Analysis and Control of Discrete-Time Piecewise Affine and Hybrid Systems
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
H∞static output feedback control for discrete-time switched linear systems with average dwell time
ACC'09 Proceedings of the 2009 conference on American Control Conference
Modeling and predictive control of tow tank system by MLD approach
CSS'10 Proceedings of the 4th international conference on Circuits, systems and signals
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This paper concerns static output feedback design of discrete-time linear switched system using switched Lyapunov functions (SLFs). A new characterization of stability for the switched system under arbitrary switching is first given together with γ-performance evaluation. The various conditions are given through a family of LMIs (LinearMatrix Inequalities) parameterized by a scalar variable which offers an additional degree of freedom, enabling, at the expense of a relatively small degree of complexity in the numerical treatment (one line search), to provide better results compared to previous one. The control is defined as a switched static output feedback which guarantees stability and γ-performance for the closed-loop system. A numerical example is presented to illustrate the effectiveness of the proposed conditions.