μ-Analysis and synthesis based on parameter dependent multipliers

Author(s):  
Gan Chen ◽  
Toshiharu Sugie

2014 ◽  
Vol 701-702 ◽  
pp. 645-653 ◽  
Author(s):  
Yan Liu ◽  
Hong Sheng Lin ◽  
Li Mei Liu ◽  
Ying Li

A new approach to analyze and synthesize linear uncertain systems with time varying norm bounded uncertainty is presented in this paper. First, the uncertainty set is separated into several different sets according to the maximum singular value of uncertainty.Based on the new classification, the original uncertain system is transformed into a Markovian jump system. Second, via a parameter-dependent Lyapunov function, the problems of robust H∞ analysis and synthesis is studied.Based on this, two sufficient conditions for designing parameter-dependent controllers are established. Finally, numerical simulations are used to illustrate the developed method.





2010 ◽  
Vol 83 (9) ◽  
pp. 1823-1838 ◽  
Author(s):  
Xiping Zhang ◽  
Panagiotis Tsiotras ◽  
Tetsuya Iwasaki






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