Geodesic
Tube-MPC for a class of uncertain continuous nonlinear systems with application to surge problem
Kybernetika, Tome 53 (2017) no. 4, pp. 679-693
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

This paper presents a new robust adaptive model predictive control for a special class of continuous-time non-linear systems with uncertainty. These systems have bounded disturbances with unknown upper bound, as well as constraints on input states. An adaptive control is used in the new controller to estimate the system uncertainty. Also, to avoid the system disturbances, a $H_{\infty }$ method is employed to find the appropriate gain in Tube-MPC. Finally, a surge avoidance problem in centrifugal compressors is solved to show the efficiency and effectiveness of the proposed algorithm.
This paper presents a new robust adaptive model predictive control for a special class of continuous-time non-linear systems with uncertainty. These systems have bounded disturbances with unknown upper bound, as well as constraints on input states. An adaptive control is used in the new controller to estimate the system uncertainty. Also, to avoid the system disturbances, a $H_{\infty }$ method is employed to find the appropriate gain in Tube-MPC. Finally, a surge avoidance problem in centrifugal compressors is solved to show the efficiency and effectiveness of the proposed algorithm.
DOI : 10.14736/kyb-2017-4-0679
Classification : 37N35, 93C10, 93C40, 93C42, 93D09
Keywords: robust control; adaptive control; $H_{\infty }$ method; tube-MPC; surge 
@article{10_14736_kyb_2017_4_0679,
     author = {Taleb Ziabari, Masoud and Jahed-Motlagh, Mohammad Reza and Salahshoor, Karim and Ramezani, Amin and Moarefianpour, Ali},
     title = {Tube-MPC for a class of uncertain continuous nonlinear systems with application to surge problem},
     journal = {Kybernetika},
     pages = {679--693},
     year = {2017},
     volume = {53},
     number = {4},
     doi = {10.14736/kyb-2017-4-0679},
     mrnumber = {3730258},
     zbl = {06819630},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-4-0679/}
}
TY  - JOUR
AU  - Taleb Ziabari, Masoud
AU  - Jahed-Motlagh, Mohammad Reza
AU  - Salahshoor, Karim
AU  - Ramezani, Amin
AU  - Moarefianpour, Ali
TI  - Tube-MPC for a class of uncertain continuous nonlinear systems with application to surge problem
JO  - Kybernetika
PY  - 2017
SP  - 679
EP  - 693
VL  - 53
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-4-0679/
DO  - 10.14736/kyb-2017-4-0679
LA  - en
ID  - 10_14736_kyb_2017_4_0679
ER  - 
%0 Journal Article
%A Taleb Ziabari, Masoud
%A Jahed-Motlagh, Mohammad Reza
%A Salahshoor, Karim
%A Ramezani, Amin
%A Moarefianpour, Ali
%T Tube-MPC for a class of uncertain continuous nonlinear systems with application to surge problem
%J Kybernetika
%D 2017
%P 679-693
%V 53
%N 4
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-4-0679/
%R 10.14736/kyb-2017-4-0679
%G en
%F 10_14736_kyb_2017_4_0679
Taleb Ziabari, Masoud; Jahed-Motlagh, Mohammad Reza; Salahshoor, Karim; Ramezani, Amin; Moarefianpour, Ali. Tube-MPC for a class of uncertain continuous nonlinear systems with application to surge problem. Kybernetika, Tome 53 (2017) no. 4, pp. 679-693. doi: 10.14736/kyb-2017-4-0679

[1] Bindlish, R.: Nonlinear model predictive control of an industrial polymerization process. Computers Chemical Engrg. 73 (2015), 43-48. | DOI

[2] Cuzzola, F. A., Geromel, J. C., Morari, M.: An improved approach for constrained robust model predictive control. Automatica 38 (2002), 1183-1189. | DOI | MR

[3] Ding, B., Zou, T.: A synthesis approach for output feedback robust model predictive control based-on input-output model. J. Process Control 24 (2014), 60-72. | DOI

[4] Ghanavati, M., Chakravarthy, A.: Demand-side energy management by use of a design-then-approximate controller for aggregated thermostatic loads. In: Amer. Control Conference (ACC), Chicago 2015. | DOI

[5] Ghanavati, M., Chakravarthy, A.: Demand-side energy management using an adaptive control strategy for aggregate thermostatic loads. In: AIAA SciTech Forum 2015, pp. 1-7. | DOI

[6] Ghanavati, M., Mobayen, S., Majd, V. J.: A new robust model predictive control strategy for rotational inverted pendulum system. In: Int. Siberian Conference on Control and Communications (SIBCON) 2011, pp. 33-38. | DOI

[7] Gravdahl, J. T., Egeland, O.: Compressor Surge and Rotating Stall: Modeling and Control. Springer-Verlag, London 1999. | DOI

[8] Greitzer, E. M.: Surge and rotating stall in axial flow compressors. Part I: Theoretical compression system model. ASME J. Engrg. for Power 98 (1976), 2, 191-198. | DOI

[9] Gu, B., Gupta, Y. P.: Control of nonlinear processes by using linear model predictive control algorithms. ISA Trans. 47 (2008), 211-216. | DOI

[10] He, D. F., Huang, H., Chen, Q. X.: Quasi-min-max MPC for constrained nonlinear systems with guaranteed input-to-state stability. J. Franklin Inst. 351 (2014), 3405-3423. | DOI | MR

[11] Kothare, M. V., Balakrishnan, V., Morari, M.: Robust constrained model predictive control using linear matrix inequalities. Automatica 32 (1996), 1361-1379. | DOI | MR

[12] Kouvaritakis, B., Rossiter, J. A., Schuurmans, J.: Efficient robust predictive control. IEEE Trans. Automat. Control 45 (2000), 1545-1549. | DOI | MR

[13] Magni, L., Nicolao, G. De, Magnani, L., Scattolini, R.: A stabilizing model based predictive control algorithm for nonlinear systems. Automatica 37 (2001), 1351-1362. | DOI | MR

[14] Moore, F. K., Greitzer, E. M.: A theory of post-stall transientin axial compression systems: Part I - Development of equations. ASME J. Engrg. for Gas Turbines and Power 108 (1986), 68-76. | DOI

[15] Poursafar, N., Taghirad, H. D., Haeri, M.: Model predictive control of nonlinear discrete time systems: a linear matrix inequality approach. IET Proc. Control Theory Appl. 4 (2010), 1922-1932. | DOI | MR

[16] Razi, M., Haeri, M.: Design of a robust model predictive controller with reduced computational complexity. ISA Trans. 53 (2014), 1754-1759. | DOI

[17] Shamaghdari, S., Nikravesh, S. K. Y., Haeri, M.: Integrated guidance and control of elastic flight vehicle based on robust MPC. Int. J. Robust Nonlinear Control 25 (2015), 2608-2630. | DOI | MR

[18] Sheng, H., Huang, W., Zhang, T., Huang, X.: Robust Adaptive Fuzzy Control of Compressor Surge Using Backstepping. Arabian J. Science and Engrg. 39 (2014), 9301-9308. | DOI

[19] Wang, L. X.: Adaptive Fuzzy Systems and Control: Design and Stability Analysis. Prentice-Hall, Englewood Cliffs 1994.

[20] Yu, S. Y., Bohm, C., Chen, H., Allgower, F.: Robust model predictive control with disturbance invariant sets. In: Proc. Amer. Contr. Conf., Baltimore 2010, pp. 6262-6267. | DOI

[21] Yu, S., Maier, C., Chen, H., Allgower, F.: Tube MPC scheme based on robust control invariant set with application to Lipschitz nonlinear systems. Systems Control Lett. 62 (2013), 194-200. | DOI | MR

[22] Zheng, P., Li, D., Xi, Y., Zhang, J.: Improved model prediction and RMPC design for LPV systems with bounded parameter changes. Automatica 49 (2013), 3695-3699. | DOI | MR

Cité par Sources :