Optimal regulation of homogeneous systems |
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Authors: | S Emre Tuna [Author Vitae] |
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Affiliation: | Center for Control Engineering and Computation, Department of Electrical and Computer Engineering University of California, Santa Barbara, CA 93106, USA |
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Abstract: | We present an offline numerical algorithm to generate a discontinuous feedback law to robustly regulate the origin of a continuous-time homogeneous system through sample and hold. The proposed feedback comes out of the solution of an infinite horizon optimization problem in discrete time and is in the form of a look-up table. We show that when applied to either chained systems or systems in power form the algorithm results in a closed loop whose origin is globally exponentially stable. |
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Keywords: | Homogeneous system State feedback Robust stability Optimality Chained system System in power form |
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