Robust Parameter-Dependent Constrained Model Predictive Control

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Xia, Yuanqing, Cheng, Jie, Shi, Peng and Liu, Guo-Ping (2007) Robust Parameter-Dependent Constrained Model Predictive Control. In: Second International Conference on Innovative Computing, Information and Control, 2007. ICICIC '07. IEEE, New York, N.Y., pp. 521-524.

Abstract

The problem of robust constrained model predictive control (MFC) of systems with polytopic uncertainty is considered in this paper. New sufficient conditions for the existence of parameter-dependent Lyapunov functions are proposed in terms of linear matrix inequalities (LMIs), which will reduce the conservativeness resulting from using a single Lyapunov function. At each sampling instant, the corresponding parameter-dependent Lyapunov function is an upper bound for a worst-case objective function, which can be minimized using the LMI convex optimization approach. Based on the solution of optimization at each sampling instant, the corresponding state feedback controller is designed, which can guarantee that the resulting closed-loop system is robustly asymptotically stable. In addition, the feedback controller will meet the specifications for systems with input or output constraints, for all admissible time-varying parameter uncertainties. Numerical examples are presented to demonstrate the effectiveness of the proposed techniques.

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Item type Book Section
URI https://vuir.vu.edu.au/id/eprint/6375
DOI 10.1109/ICICIC.2007.500
Official URL http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arn...
ISBN 0769528821, 9780769528823
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0906 Electrical and Electronic Engineering
Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Keywords ResPubID18957, Lyapunov methods, asymptotic stability, control system synthesis, linear matrix inequalities, predictive control, robust control, state feedback, uncertain systems
Citations in Scopus 1 - View on Scopus
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