Robust stability and H-infinity control for uncertain discrete-time Markovian jump singular systems |
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Authors: | Shuping MA Chenghui ZHANG Xinzhi LIU |
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Affiliation: | 1. School of Mathematics and System Science,Shandong University,Jinan Shandong 250100,China;School of Computer Science and Technology,Shandong University,Jinan Shandong 250061,China 2. School of Control and Engineering,Shandong University,Jinan Shandong 250061,China 3. School of Control and Engineering,Shandong University,Jinan Shandong 250061,China;Department of Applied Mathematics,University of Waterloo,Waterloo Ontario N2L 3G1,Canada |
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Abstract: | The robust stability and stabilization,and H-infinity control problems for discrete-time Markovian jump singular systems with parameter uncertainties are discussed.Based on the restricted system equivalent(r.s.e.)transformation and by introducing new state vectors,the singular system is transformed into a discrete-time Markovian jump standard linear system,and the linear matrix inequality(LMI)conditions for the discrete-time Markovian jump singular systems to be regular,causal,stochastically stable,and stochastically stable with γ-disturbance attenuation are obtained,respectively.With these conditions,the robust state feedback stochastic stabilization problem and H-infinity control problem are solved,and the LMI conditions are obtained.A numerical example illustrates the effectiveness of the method given in the paper. |
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Keywords: | Discrete-time singular system Markovian jump system Robust stability and stabilization H-infinity control Linear matrix inequality(LMI) |
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