Constrained RHC for LPV systems with bounded rates of parameter variations

Authors:
Poogyeon Park;Seung Cheol Jeong
Affiliations:
ECE Division, Pohang University of Science and Technology, Pohang, Kyungbuk 790-784, South Korea;ECE Division, Pohang University of Science and Technology, Pohang, Kyungbuk 790-784, South Korea
Venue:
Automatica (Journal of IFAC)
Year:
2004

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Abstract

This paper studies a stabilization problem of polytopically uncertain linear parameter varying systems with input constraints and bounded rates of parameter variations. In the framework of finite receding horizon control (RHC), a system containing ''parameter'' uncertainties is modified into a system with ''parameter-incremental'' uncertainties within each horizon. For the system modified in this manner, a robust RHC is designed by solving an optimization problem at each time instant. Based on the feasibility of the problem and the optimality of its solution, the closed-loop system stability is guaranteed. A numerical example is included to illustrate the validity of the results.