Explicit Hybrid Optimal Controller for Disturbance Attenuation in Linear Hybrid Systems
| Authors: | Lin Hai, Univ of Notre Dame, United States
Zhai Guisheng, Osaka Prefecture University, Japan
Antsaklis Panos J., Univ of Notre Dame, United States |
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| Topic: | 1.3 Discrete Event and Hybrid Systems |
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| Session: | Hybrid Dynamic Systems |
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| Keywords: | Hybrid systems, Disturbance rejection, Robust performance, Piecewise linear controllers, State feedback |
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Abstract
In this paper, the disturbance attenuation properties for classes of linear hybrid systems perturbed by exterior disturbances are investigated, and a hybrid l^1 robust optimal control problem is studied. First, a procedure is developed to determine the minimal l^1 norm of linear hybrid systems. However, for general hybrid systems, the termination of the procedure is not guaranteed. Then, the decidability issues are briefly discussed. Finally, we study the robust l^1 optimal controller synthesis problem. It is shown that the optimal performance level can be achieved by a piecewise linear state feedback control law for the linear hybrid systems, and a systematic approach to design such feedback control is proposed.
