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H_∞ Control for Markov Jump Systems With Partially Unknown Transition Probabilities and Nonlinearities(PDF)

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2012年01期
Page:
47-51
Research Field:
Publishing date:

Info

Title:
H_∞ Control for Markov Jump Systems With Partially Unknown Transition Probabilities and Nonlinearities
Author(s):
Zhao Xia1; Tian Engang2; Li Zhi3
1.Nanjing College of Information Technology,Nanjing 210046,China
Keywords:
partially unknown transition probabilities; Markov jump system; nonlinearity
PACS:
O211.62;O231
DOI:
-
Abstract:
This paper studies the H∞ controller design for Markov jump systems with partially unknown transition probabilities and nonlinearities． The studied systems have the following new characters: 1) the inner variation information of the nonlinear function between the bounds is firstly utilized to analysis the nonlinear function; 2) some of the transition probabilities are completely unknown，and full use is made of the relationship between the known and unknown transition probabilities to analyze the Markov jump system． With Lyapunov function method，sufficient conditions for mean square stability of the system can be obtained． The finial numerical example shows that，firstly，the usage of the relationship between known and unknown transition probabilities can reduce the conservatism of the results，and that，secondly，the utilization of the new characters of the nonlinearities can improve the control performance of the system greatly．

References:

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Last Update: 2013-03-11