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- Title
Stability and H<sub>∞</sub> control of discrete-time switched systems via one-step ahead Lyapunov function approach.
- Authors
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. V²k+2 - V²k + V¹k+1 - V¹k < 0 or Vk+2 - Vk < 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.
- Subjects
LYAPUNOV functions; STABILITY (Mechanics); EQUALIZERS (Electronics); LINEAR systems; CONTROL theory (Engineering)
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2018, Vol 12, Issue 8, p1141
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2017.1026