DocumentCode :
851389
Title :
Robust Overlapping Guaranteed Cost Control of Uncertain State-Delay Discrete-Time Systems
Author :
Bakule, Lubomír ; Rodellar, José ; Rossell, Josep M.
Author_Institution :
Inst. of Inf. Theor. & Autom., Acad. of Sci. of the Czech Republic, Prague
Volume :
51
Issue :
12
fYear :
2006
Firstpage :
1943
Lastpage :
1950
Abstract :
This note presents a new extension of the inclusion principle to cope with the problem of designing robust overlapping controllers for state-delayed discrete-time systems with norm bounded uncertainties using the concept of guaranteed cost control. Expansion-contraction relations for systems and contractibility conditions for output guaranteed cost memoryless controllers are proved, including conditions on the equality of guaranteed performance bounds. The controllers are designed in the expanded space using a linear matrix inequality (LMI) delay independent procedure specifically adapted to this class of problems. The designed controllers are then contracted and implemented into the original system. The results are specialized for the overlapping decentralized control design. The method enables an effective construction of block tridiagonal controllers. A numerical illustrative example is supplied
Keywords :
control system synthesis; decentralised control; delays; discrete time systems; linear matrix inequalities; robust control; uncertain systems; LMI; expansion-contraction relations; linear matrix inequality; memoryless controllers; norm bounded uncertainties; overlapping decentralized control design; robust overlapping guaranteed cost control; uncertain state-delay discrete-time systems; Automatic control; Control system synthesis; Control systems; Costs; Feedback control; Linear systems; Matrix decomposition; Robust control; Sliding mode control; State feedback; Decentralized control; delay systems; inclusion principle; large-scale systems; robust control;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2006.886536
Filename :
4026637
Link To Document :
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