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Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems
IEEE Transactions on Automatic Control ,2013,59(1):199 - 204 | 2013年06月07日 | 10.1109/TAC.2013.2267353
This paper is concerned with the induced ℓ 2 dynamic output feedback controller (DOFC) design problem for discrete-time Markovian jump repeated scalar nonlinear systems. By employing both the switching-sequence dependent Lyapunov function approach and the positive definite diagonally dominant Lyapunov function technique, a sufficient condition is first established, which guarantees the underlying system to be stochastically stable with an induced ℓ 2 disturbance attenuation performance. Then the desired full- or reduced-order DOFCs are designed by using projection approach. Cone complementarity linearization procedure is employed to cast the nonconvex feasibility problem into a sequential minimization problem. Finally, a numerical example is presented to show the effectiveness of the proposed methods.
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