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https://hdl.handle.net/2440/81865
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Type: | Journal article |
Title: | Output feedback control of Markovian jump repeated scalar nonlinear systems |
Author: | Wu, L. Su, X. Shi, P. |
Citation: | IEEE Transactions on Automatic Control, 2014; 59(1):199-204 |
Publisher: | IEEE-Inst Electrical Electronics Engineers Inc |
Issue Date: | 2014 |
ISSN: | 0018-9286 1558-2523 |
Statement of Responsibility: | 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 |
DOI: | 10.1109/TAC.2013.2267353 |
Published version: | http://dx.doi.org/10.1109/tac.2013.2267353 |
Appears in Collections: | Aurora harvest Electrical and Electronic Engineering publications |
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