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Journal of Zhejiang University SCIENCE A 2002 Vol.3 No.4 P.418~425

http://doi.org/10.1631/jzus.2002.0418


Robust predictive control of uncertain intergrating linear systems with input constraints


Author(s):  ZHANG Liang-jun, LI Jiang, SONG Zhi-huan, LI Ping

Affiliation(s):  Institute of Industrial Process Control, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   ljzhang@iipc.zju.edu.cn

Key Words:  Model predictive control, Robust control, Input constraints, Convex programming


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ZHANG Liang-jun, LI Jiang, SONG Zhi-huan, LI Ping. Robust predictive control of uncertain intergrating linear systems with input constraints[J]. Journal of Zhejiang University Science A, 2002, 3(4): 418~425.

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Abstract: 
This paper presents a two-stage robust model predictive control (RMPC) algorithm named as IRMPC for uncertain linear integrating plants described by a state-space model with input constraints. The global convergence of the resulted closed loop system is guaranteed under mild assumption. The simulation example shows its validity and better performance than conventional Min-Max RMPC strategies.

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Reference

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[5] Mayne, D. Q., Rawlings, J. B., Rao, C. V., Scokaert, P. O. M., 2000. Constrained model predictive control: Stability and optimality. Automatica, 36:789-814.

[6] Morari, M., Lee, J.H.,1999. Model predictive Control: past, present and future. Computers Chem. Engng., 23(4-5):667-682.

[7] Qin, S. J., Badgwell, T. A., 1997. An overvoew of industrial model predictive control technology, Fifth international conference on chemical process control. AIChE Symposium Series, 93:232-256.

[8] Ralhan, S., Badgwell, T. A., 2000a. Robust control of stable linear systems with continuous uncertainty. Computers Chem. Engng., 24(11):2533-2544.

[9] Ralhan, S., Badgwell, T. A., 2000b. Robust model predictive control for integrat ing linear systems with bounded parameters. Ind. Eng. Chem. Res. 39(8):2981-2991.

[10] Rawlings, J. B., Muske, K. R., 1993. The stability of constrained receding horizon control. IEEE Trans-AC., 38(10):1512-1516.

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