A successive convex optimization method for bilinear matrix inequality problems and its application to static output‐feedback control

Author(s):  
Yingying Ren ◽  
Qing Li ◽  
Kang‐Zhi Liu ◽  
Da‐Wei Ding
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.


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