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Robust control for Markovian jump linear discrete-time systems with unknown nonlinearities

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2 Author(s)
M. S. Mahmoud ; Fac. of Eng., Arab Acad. for Sci. & Technol., Helliopolis-Cairo, Egypt ; Peng Shi

In this work, we investigate the H control problem for a class of linear discrete-time systems with Markovian jump parameters. The jump parameters considered here are modeled by a discrete-time Markov process. Our attention is focused on the design of a state feedback controller such that both stochastic stability and a prescribed H performance are required to be achieved when the real system under consideration is affected by both unknown nonlinearity and norm-bounded real time-varying uncertainties. Sufficient conditions are proposed to solve the above problem, which are in terms of a set of solutions of linear matrix inequalities (LMIs)

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IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications  (Volume:49 ,  Issue: 4 )