Journal
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
Volume 17, Issue 8, Pages 1921-1934Publisher
INST CONTROL ROBOTICS & SYSTEMS, KOREAN INST ELECTRICAL ENGINEERS
DOI: 10.1007/s12555-018-0721-6
Keywords
Admissible edge-dependent average dwell time; discrete-time switched systems; H-infinity state feedback control; multiple piecewise convex Lyapunov function
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Funding
- National Natural Science Foundation of China [61773235, 61773236]
- Project of Shandong Province Higher Educational Science and Technology Program [J18KA324]
- Fundamental Research Funds for the Central Universities [2242019k30017]
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The problem of H-infinity control for discrete-time switched systems is investigated via admissible edge-dependent average dwell time (AED-ADT) method in this paper. By virtue of a convex combination of positive definite matrices, a novel multiple piecewise convex Lyapunov function (MPCLF) is designed, which can relax the restricted conditions of Lyapunov functions at switching points and interval interior points. Based on the MPCLF approach, the time-varying H-infinity state feedback controllers, guaranteeing that the corresponding closed-loop system is globally uniformly exponentially stable (GUES) with a prescribed H-infinity performance, are established for the considered switched system. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed approaches.
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