DocumentCode :
3161002
Title :
Observer Design with Guaranteed RMS Gain for Linear Parameter Varying Jump Systems
Author :
Calafiore, G.C. ; Dabbene, F.
Author_Institution :
Politecnico di Torino, Turin
fYear :
2007
fDate :
9-13 July 2007
Firstpage :
6073
Lastpage :
6078
Abstract :
We consider the problem of designing state observers with guaranteed power-to-power (RMS) gain, for a class of stochastic discrete-time linear systems that possess both measurable parameter variations and Markovian jumps in their dynamics. It is shown in the paper that an upper bound on the RMS gain of the observer can be characterized in terms of robust feasibility of a family of linear matrix inequalities (LMIs). Any feasible solution to these LMIs can then be used to explicitly construct a parameter-varying jump observer that guarantees the desired performance level. This design framework is then specialized to a problem of state estimation for an LPV plant whose state measurements are available trough a lossy Bernoulli channel. A numerical example illustrates the results.
Keywords :
Markov processes; discrete time systems; linear matrix inequalities; linear systems; observers; state estimation; stochastic systems; LMI; Markovian jumps; RMS gain; linear matrix inequalities; linear parameter varying jump systems; lossy Bernoulli channel; parameter variations; parameter-varying jump observer; state observer; stochastic discrete-time linear systems; Cities and towns; Control systems; Delay estimation; Gain; Linear matrix inequalities; Linear systems; Robustness; Stochastic systems; Symmetric matrices; Uncertain systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
ISSN :
0743-1619
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2007.4282298
Filename :
4282298
Link To Document :
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