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- Title
Robust optimal control of switched autonomous systems.
- Authors
JINJIN LIU; KANJIAN ZHANG; CHANGYIN SUN; HAIKUN WEI
- Abstract
This paper considers the robustness issue on switching time of switched systems, in which each switching point has perturbation for a small variation. Our goal is to find optimal switching instants such that the system's performance being resistant against perturbations. By using the integral averaging technique and combining with optimal control theory, the derivatives of the cost function with respect to the original switching times are derived. We focus on the fixed switching mode sequences and use a gradient-descent algorithm to find the optimal switching instants. The efficacy of the proposed method is illustrated via numerical examples.
- Subjects
ROBUST control; SWITCHING theory; PERTURBATION theory; AVERAGING method (Differential equations); OPTIMAL control theory
- Publication
IMA Journal of Mathematical Control & Information, 2016, Vol 33, Issue 2, p173
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnu032