Abstract
A robust low complexity model predictive control (MPC) scheme, referred to as robust one-step control, is proposed for constrained piecewise affine (PWA) systems with bounded disturbances. First, the maximal robust stabilizable set is added into the MPC formulation to guarantee the robust feasibility and low complexity. Second, the robust stability is analyzed via linear matrix inequalities (LMI). Extensive numerical examples illustrate the low complexity of the proposed robust one-step control.
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Recommended by Editor Young Il Lee. The authors would like to acknowledge the National Natural Science Foundation of P. R. China (60702033) and Natural Science Foundation of Zhejiang Province (Y107440) for funding this work.
Fu Chen received his B.S. and M.Sc. degrees from Liaoning Technical University in 2002 and 2005, and his Ph.D. degree from Zhejiang University in 2008. He is currently an Engineer in key Laboratory of Tobacco Processing Technology, Zhengzhou Tobacco Research Institute of CNTC. His research interests include model predictive control, robust control, and the application of advanced control technology on tobacco processing.
Dong-Lian Qi received her Ph.D. degrees in Control Theory and Control Engineering from Zhejiang University in China, where was promoted to the Associate Professor rank in 2004. Her current research focuses include nonlinear system, signal analysis and processing.
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Chen, F., Qi, DL. Robust low complexity predictive control of constrained piecewise affine systems with bounded disturbances. Int. J. Control Autom. Syst. 8, 439–444 (2010). https://doi.org/10.1007/s12555-010-0232-6
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DOI: https://doi.org/10.1007/s12555-010-0232-6