Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems

Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems

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 Lyapun...

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Veröffentlicht in:IEEE transactions on automatic control 2014-01, Vol.59 (1), p.199-204
Hauptverfasser: Wu, Ligang, Su, Xiaojie, Shi, Peng
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Diagonally dominant matrix
dynamic output feedback controller
induced ell _{2} performance
Markovian jump linear systems
repeated scalar nonlinearity
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Shi, Peng
description 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.
doi_str_mv 10.1109/TAC.2013.2267353
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subjects Diagonally dominant matrix
dynamic output feedback controller
induced ell _{2} performance
Markovian jump linear systems
repeated scalar nonlinearity
title Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems
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