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https://hdl.handle.net/2440/118341
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Type: | Journal article |
Title: | Stability and H∞ control of discrete-time switched systems via one-step ahead Lyapunov function approach |
Other Titles: | Stability and H-infinity control of discrete-time switched systems via one-step ahead Lyapunov function approach |
Author: | Wen, J. Nguang, S. Shi, P. Zhao, X. |
Citation: | IET Control Theory and Applications, 2018; 12(8):1141-1147 |
Publisher: | Institution of Engineering and Technology |
Issue Date: | 2018 |
ISSN: | 1751-8644 1751-8652 |
Statement of Responsibility: | Jiwei Wen , Sing Kiong Nguang, Peng Shi, Xudong Zhao |
Abstract: | This study concerns the problems of stability and H ∞ control for a class of discrete-time switched systems by introducing a one-step ahead Lyapunov function (LF) approach. The one-step ahead LF is a function of future states. The design objectives are to reduce the conservatism of the stability criterion developed for arbitrarily switched systems and further get a better disturbance attenuation capability. The distinguishing feature is that the one-step ahead LF has no structural constraint, such as, diagonal structure, and the resulting analysis and synthesis criteria can cover the non-monotonic method considering two samples variation, i.e. V k+2 2 - V k 2 +V k+1 1 -V k 1 <;0 or V k+2 -V k <;0 as a special case. The obtained results can be easily extended to the multi-step ahead case. Numerical examples are included to demonstrate the effectiveness of the developed method. |
Rights: | © The Institution of Engineering and Technology 2018 |
DOI: | 10.1049/iet-cta.2017.1026 |
Grant ID: | http://purl.org/au-research/grants/arc/DP170102644 |
Published version: | http://dx.doi.org/10.1049/iet-cta.2017.1026 |
Appears in Collections: | Aurora harvest 8 Electrical and Electronic Engineering publications |
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