Dynamic output-feedback stabilisation for Markovian jump systems with incomplete transition description and input quantisation: linear matrix inequality approach

2017 ◽  
Vol 11 (15) ◽  
pp. 2643-2649 ◽  
Author(s):  
Nam Kyu Kwon ◽  
Chan-eun Park ◽  
PooGyeon Park
Keyword(s):  
Linear Matrix Inequality ◽  
Output Feedback ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Dynamic Output Feedback ◽  
Matrix Inequality ◽  
Markovian Jump ◽  
Dynamic Output ◽  
Linear Matrix Inequality Approach ◽  
Jump Systems

H∞ Dynamic output feedback control of LPV time-delay systems via dilated linear matrix inequalities

2018 ◽  
Vol 41 (2) ◽  
pp. 552-559 ◽  
Author(s):  
Imen Nejem ◽  
Mohamed Hechmi Bouazizi ◽  
Faouzi Bouani
Keyword(s):  
Linear Matrix Inequality ◽  
Output Feedback ◽  
Linear Matrix ◽  
Dynamic Output Feedback ◽  
Matrix Inequality ◽  
Matrix Inequalities ◽  
Linear Parameter Varying ◽  
Dynamic Output ◽  
Dynamic Output Feedback Controller ◽  
Delay Dependent

This paper uses the linear matrix inequality dilation approach to deal with robust stability and H∞ dynamic output feedback controller synthesis for linear parameter varying delayed systems with variable delay. This approach can express the original non-convex problem in terms of convex linear matrix inequalities and consequently reduces the conservatism of linear matrix inequality synthesis without dilation. Both delay-dependent stability and H∞ performance are studied in a quadratic context. Furthermore, a Lyapunov–Krasovskii functional is used to derive a delay-dependent criterion formulated in terms of a linear matrix inequality that will be used to search for an H∞ linear parameter varying delayed dynamic output feedback controller. To achieve this aim we use an integral inequality which plays a key role in the derivation of this criterion and enables the reduction of the H∞ cost in comparison to other results.

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