Title :
Model reduction for Markovian jump systems with time-delay and uncertain switching probabilities
Author :
Zhao, Huanyu ; Chen, Qingwei ; Xu, Shengyuan
Author_Institution :
Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China
Abstract :
The paper addresses the problem of H¿ model reduction for uncertain Markovian jump systems with time-varying delay and uncertain switching probabilities. The purpose is to find a low-order model which can be used to approximate the original system such that the error system has a prescribed H¿ performance. A sufficient condition is obtained in the form of matrix inequality. The cone complementary linearization method is used to solve the proposed matrix inequality, and a specific algorithm is given.
Keywords :
H¿ control; Markov processes; delays; linear matrix inequalities; reduced order systems; time-varying systems; uncertain systems; H¿ model reduction; Markovian jump systems; cone complementary linearization method; low-order model; matrix inequality; time delay; time-varying delay; uncertain switching probability; Analytical models; Approximation methods; Control system synthesis; Delay effects; Delay systems; Linear matrix inequalities; Mathematical model; Reduced order systems; Robustness; Sufficient conditions;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400071
