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|Title:||Output feedback control of Markovian jump repeated scalar nonlinear systems|
|Citation:||IEEE Transactions on Automatic Control, 2014; 59(1):199-204|
|Publisher:||IEEE-Inst Electrical Electronics Engineers Inc|
|Ligang Wu, Xiaojie Su and Peng Shi|
|Abstract:||This paper is concerned with the induced ℓ₂ 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 ℓ₂ 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.|
|Rights:||© 2013 IEEE|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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