Further studies on min-max MPC algorithm for LPV systems subject to inputsaturation

ICIC Express Letters

Volumn 4, Issue 3, 2010, Pages 839-844

  Wang, Likui ^a   Liu, Juanjuan ^a  

^a NANCHANG HANGKONG UNIVERSITY   (China)

Author keywords

Linear parameter varying system; Model predictive control; Saturation input

Indexed keywords

INPUT-SATURATION; LINEAR PARAMETER VARYING SYSTEMS; LPV SYSTEMS; MIN-MAX MODEL PREDICTIVE CONTROLS; MIN-MAX MPC ALGORITHM; PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS; PREDICTIVE CONTROL; SECTOR CONDITION; STABILITY ANALYSIS;

CONTROL SYSTEM STABILITY; LYAPUNOV FUNCTIONS; MODEL PREDICTIVE CONTROL;

PREDICTIVE CONTROL SYSTEMS;

EID: 77953894651     PISSN: 1881803X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. E. F. Camacho and C. A. Bordos, Model Predictive Control in the ProcessIndustry, Second Ed., Springer-Verlag, Berlin, 2004.
2. M. V. Kothara, M. Morari and V. Balakrishnan, Robust constrained modelpredictive control using linear matrix inequalities, Automatica, vol.32, no.10,pp.1361-1379, 1996.
3. J. H. Lee and Z. H. Yu, Worst-case formulations of model predictivecontrol for systems with bounded parameters, Automatica, vol.33, pp.763-781,1997.
4. Y. H. Lu and Y. Arkun, A Quasi-min-max MPC algorithms for lionearparameter varying systems with bounded rate of change of parameters, Proc. ofAmerican Control Conf New York, pp.3234- 3238, 2000.
5. Y. Y. Cao and Z. Lin, Min-max MPC algorithm for LPV systems subject toinput saturation, IEE Proc. Control Theory Appl, vol.152, no.3, pp.26-272, 2005.
6. M. C. de. Oliveira, J. Bernussou and J. C. Geromel, A new discrete-timerobust stability condition, Systems Control Letters, pp.261-265,1999.
7. L. K. Wang and X. D. Liu, New relaxed stabilization conditions for fuzzycontrol systems, Int. J. Innovative Computing, Information and, Control, vol.5,no.5, pp.1451-1460, 2009.
8. R. C. L. F. Oliveira and P. L. D. Peres, LMI conditions for robuststability analysis based on polynomially parameter-dependent Lyapunov functions,Systems Control Letters, pp.52-61, 2006.
9. C. E. de Souza and A. Trofino, Gain-scheduled H2 controller synthesis forlinear parameter varying systems via parameter-dependent Lyapunov functions,Int. J. Robust Nonlinear Control, pp.243-257, 2006.
10. Y. Y. Cao, Z. Lin and Y. Shamashb, Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation, Systems ControlLetters, pp.137-151, 2002.
11. H. J. Fang, Z. Lin and Y. Shamash, Disturbance tolerance and rejection oflinear systems with imprecise knowledge of actuator input outputcharacteristics, Automatica, pp.1523-1530, 2006.
12. J. M. Gomes da Silva and Jr. S. Tarbouriech, Antiwindup design withguaranteed regions of stability: An LMI approach, IEEE Trans. Autom. Control,pp.106-111, 2005.
13. A. Casavola, M. Giannelli and E. Mosca, Min-max predictive controlstrategies for input-saturated polytopic uncertain systems, Automatica, vol.36,pp.125-133, 2000.