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Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The paper addresses the problem of designing a robust output/state model predictive control for linear polytopic systems without constraints. The new robust BMI stability condition for given predictive and control horizon is derived which guarantees the parameter dependent quadratic stability and guaranteed cost.The proposed condition is appropriate for centralized and decentralized control design, as illustrated on example.
Czasopismo
Rocznik
Tom
Strony
303--316
Opis fizyczny
Bibliogr. 23 poz., rys., wzory
Twórcy
autor
autor
- Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, Ilkovicova 3, 81219 Bratislava, Slovak Republic, vojtech.vesely@stuba.sk
Bibliografia
- [1] B. BOUZOUITA, F. BOUANI and M. KSOURI: Efficient implementation of multivariable MPC with parametric uncertainties. In Proc. ECC 2007, Kos, Greece, TuB12.4, CD-ROM, (2007).
- [2] E. F. CAMACHO and C. BORDONS: Model predictive control. Springer-Verlag, London, 2004.
- [3] A. CASAVOLA, D. FAMULARO and G. FRANZE: Robust constrained predictive control of uncertain norm-bounded linear systems. Automatica, 40 (2004), 1865-1776.
- [4] D. W. CLARKE and C. MOHTADI: Properties of generalized predictive control. Automatica, 25(6), (1989), 859-875.
- [5] D. W. CLARKE and R. SCATTOLINI: Constrained receding-horizon predictive control. Proc. IEE, 138(4), (1991), 347-354.
- [6] H. DERMICIOGLU and D.W. CLARKE: Generalized predictive control with endpoint weighting. Proc. IEE, 140 Part D(4), (1993), 275-282.
- [7] B. DING, YUGENG XI, M. T. CYCHOWSKI and T. O’MAHONY: A synthesis approach for output feedback robust constrained model predictive control. Automatica, 44 (2008), 258-264.
- [8] R. HABER, U. SCHMITZ and R. BARS: Stabilizing predictive control with infinite control error weighting. Int. Conf. Process Control, Kouty nad Desnou, Czech Republik, Paper R221a, (2002), 1-11.
- [9] M. V. KOTHARE, V. BALAKRISHNAN and M. MORARI: Robust constrained model predictive control using linear matrix inequalities. Automatica, 32(10), (1996), 1361-1379.
- [10] Y. KUWATA, A. RICHARDS and J. HOW: Robust receding horizon using generalized constraint tightening. In Proc. ACC, New Yourk, CD-ROM, (2007).
- [11] CH. LOVAS, M. M. SERON and G. C. GOODWIN: Robust model predictive control of input-constrained stable systems with unstructured uncertainty. In Proc. ECC, Kos, Greece, CD-ROM, (2007).
- [12] J. LOFBERG: YALMIP: A toolbox for modeling and optimization in MATLAB. Proc. of the CACSD Conf., http://control.ee.ethz.ch/ joloef/yalmip.php, Taipei, Taiwan, (2004).
- [13] J. M. MACIEJOWSKI: Predictive control with constraints. Prentice Hall, 2002.
- [14] P. E. ORULPE, I. M. JAIMOUKHA and H. M. H. EL-ZOBAIDI: Model predictive control based on mixed H2=H¥ control approach. In Proc. ACC, New York, CDROM, (2007).
- [15] D. PEAUCELLE, D. ARZELIER, O. BACHELIER and J. BERNUSSOU: A new robust D-stability condition for real convex polytopic uncertainty. Systems and Control Letters, 40 (2000), 21-30.
- [16] D. M. DELA PENA, T. ALAMO, T. RAMIREZ and E. CAMACHO: Min-max model predictive control as a quadratic program. In Proc. of 16th IFAC World Congress, Praque, CD-ROM, (2005).
- [17] E. POLAK and T. H. YANG: MOVING HORIZON CONTROL OF LINEAR SYSTEMS WITH INPUT SATURATION AND PLANT UNCERTAINTY. Int. J. Control, 53 (1993), 613-638.
- [18] D. ROSINOVA , V. VESELY and V. KUCERA: A NECESSARY AND SUFFICIENT CONDITION FOR STATIC OUTPUT FEEDBACK STABILIZABILITY OF LINEAR DISCRETE-TIME SYSTEMS. Kybernetika, 39(4), (2003), 447-459.
- [19] J. A. ROSITER: Model based predictive control: A practical approach. Control Series, (2003).
- [20] V. VESELY and R. BARS: Stable output fedback model predictive control design: LMI approach. Archives of Control Sciences, 18(3), (2008), 385-394.
- [21] V. VESELY , D. ROSINOVA and M. FOLTIN: Robust model predictive control design with input constraints. ISA Trans., 49 (2010), 114-120.
- [22] E. ZAFIRIOU and A. MARCHAL: Stability of SISO quadratic dynamic matrix control with hard output constraints. AIChE J., 37 (1991), 1550-1560.
- [23] Z. Q. ZHENG and M. MORARI: Robust stability of constrained model predictive control. In Proc. ACC, San Francisco, CA, (1993), 379-383.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0073-0012