Title: Constrained feedback RMPC for LPV systems with bounded rates of parameter variations and measurement errors

Authors: Pengyuan Zheng; Dewei Li; Yugeng Xi

Addresses: Department of Automation, Shanghai Jiao Tong University, Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai 200240, China ' Department of Automation, Shanghai Jiao Tong University, Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai 200240, China ' Department of Automation, Shanghai Jiao Tong University, Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai 200240, China

Abstract: For Linear Parameter Varying (LPV) systems with bounded rates of parameter variations and bounded parameter measurement errors, a feedback Robust Model Predictive Control (RMPC) is designed by utilising the information on system parameters. A sequence of feedback control laws is designed based on the model with parameter-incremental uncertainty. Since the sequence of feedback control laws corresponds to the future variations of system parameters and introduces additional freedom, the control performance of RMPC can be improved. The recursive feasibility and closed-loop stability of the proposed RMPC are also proven.

Keywords: feedback RMPC; LPV systems; bounded rates; parameter variations; measurement errors; linear parameter varying systems; robust model predictive control; feedback control; control laws; uncertainty; recursive feasibility; closed-loop stability.

DOI: 10.1504/IJSCIP.2012.052187

International Journal of System Control and Information Processing, 2012 Vol.1 No.2, pp.164 - 175

Published online: 19 Feb 2013 *

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