Gain-scheduled H ∞ filtering of parameter-varying discrete-time systems via parameter-dependent Lyapunov functions

2009 ◽  
Vol 7 (3) ◽  
pp. 475-479 ◽  
Author(s):  
Shaosheng Zhou ◽  
Baoyong Zhang ◽  
Wei Xing Zheng
2016 ◽  
Vol 67 (2) ◽  
pp. 87-94
Author(s):  
Vojtech Veselý ◽  
Adrian Ilka

Abstract Switched controller design for nonlinear continuous and discrete-time systems under an arbitrary switching signal using the gain scheduling approach is addressed in this paper. The obtained controller design procedures for continuous and discrete-time systems are in the bilinear matrix inequality form. The proposed design procedure ensures multi parameter-dependent quadratic stability of the switched gain scheduled plant which is associative to a nonlinear plant model and optimal performance defined by quadratic gain scheduled parameters weighting cost function. Example demonstrates the effectiveness of the proposed approaches.


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