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PASSIVE CONTROL SYNTHESIS FOR UNCERTAIN MARKOVIAN JUMP SYSTEMS WITH MULTIPLE MODE‐DEPENDENT TIME‐DELAYS
Author(s) -
Chen WuHua,
Guan ZhiHong,
Lu Xiaomei
Publication year - 2005
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2005.tb00382.x
Subject(s) - control theory (sociology) , passivity , bounding overwatch , controller (irrigation) , jump , model transformation , transformation (genetics) , mathematics , mode (computer interface) , robust control , state (computer science) , class (philosophy) , computer science , control (management) , control system , engineering , algorithm , agronomy , biochemistry , chemistry , physics , geometry , electrical engineering , consistency (knowledge bases) , quantum mechanics , artificial intelligence , gene , biology , operating system
In this note, the robust passivity synthesis problem for a class of uncertain Markovian jump systems with multiple mode‐dependent time‐ delays is addressed. Delay‐dependent sufficient conditions for passivity are obtained in terms of linear matrix inequalities by using a descriptor model transformation of the system and by applying a recent result on the bounding of the inner product of two vectors. A robust memoryless state‐feedback controller is derived. One example is given which illustrates the effectiveness of the new theory.