An ILMI approach to robust H2 static output feedback fuzzy control for uncertain discrete-time nonlinear systems

Automatica ◽  
2008 ◽  
Vol 44 (9) ◽  
pp. 2333-2339 ◽  
Author(s):  
Huai-Ning Wu
2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Jian Chen ◽  
Chong Lin

This paper focuses on the problems of static output feedback control andH∞controller design for discrete-time switched systems. Based on piecewise quadratic Lyapunov functions and a new linearization method, new sufficient conditions for system stability andH∞controller design are obtained. Then, an improved path-following algorithm is built to solve the problems. Finally, the merits and effectiveness of the proposed method are shown by two numerical examples.


2009 ◽  
Vol 2009 ◽  
pp. 1-7 ◽  
Author(s):  
Selma Ben Attia ◽  
Salah Salhi ◽  
Mekki Ksouri

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 -performance evaluation. The various conditions are given through a family of LMIs (Linear Matrix 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 -performance for the closed-loop system. A numerical example is presented to illustrate the effectiveness of the proposed conditions.


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