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Fault Diagnosis Based on Controller Modification Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Towards Robust Predictive Control for Non-linear Discrete Time System

Authors : Mariusz Buciakowski, Marcin Witczak, Józef Korbicz

Published in: Advanced and Intelligent Computations in Diagnosis and Control

Publisher: Springer International Publishing

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Abstract

The paper is devoted to the issue of a robust predictive control for a class of non-linear discrete-time systems with an application of an ellipsoidal inner-bounding of a robust invariant set. The crucial issue is to maintain the state of the system inside the robust invariant feasible set, which is a set of states guaranteeing the stability of the proposed control strategy. The approach presented in this paper starts with a robust control design. In case the robust control does not provide expected results, which means that the current state does not belong to the robust invariant set, then a suitable predictive control action is performed in order to enhance the ellipsoidal invariant set. This appealing phenomenon makes it possible to enlarge the domain of attraction of the system that makes the proposed approach an efficient solution to the model predictive control problem.

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Literature
1.
Abbaszadeh, M., Marquez, H.: LMI optimization approach to robust \(h_{\infty }\) observer design and static output feedback stabilization for non-linear uncertain systems. Int. J. Robust Nonlinear Control 19(3), 313–340 (2008)MathSciNetCrossRef
2.
Alessandri, A., Baglietto, M., Battistelli, G.: Design of state estimators for uncertain linear systems using quadratic boundedness. Automatica 42(3), 497–502 (2006)MATHMathSciNetCrossRef
3.
Aicha, B.F., Bouani, F., Ksouri, M.: A multivariable multiobjective predictive controller. Int. J. Appl. Math. Comput. Sci. 23(1), 35–45 (2013)MATHMathSciNet
4.
5.
Korbicz, J., Kościelny, J., Kowalczuk, Z., Cholewa, W. (eds.): Fault Diagnosis. Models, Artificial Intelligence, Applications. Springer, Berlin (2004)
6.
7.
Ławryńczuk, M., Tatjewski, P.: Nonlinear predictive control based on neural multi-models. Int. J. Appl. Math. Comput. Sci. 20(1), 7–21 (2010)MathSciNet
8.
Maciejowski, J.: Predictive Control With Constraints. Prentice Hall, Upper Saddle River (2002)
9.
Marquez, H.: Nonlinear Control Systems. Analysis and Design. Wiley, New Jersey (2003)
10.
de Oliveira, M., Bernussou, J., Geromel, J.: A new discrete-time robust stability condition. Syst. Control Lett. 37(4), 261–265 (1999)MATHCrossRef
11.
Patan, K., Korbicz, J.: Nonlinear model predictive control of a Boiler unit: a fault tolerant control study. Int. J. Appl. Math. Comput. Sci. 22(1), 225–237 (2012)MATHCrossRef
12.
Pertew, A.M., Marquez, H.J., Zhao, Q.: H\(_{\infty }\) synthesis of unknown input observers for non-linear Lipschitz systems. Int. J. Control 78(15), 1155–1165 (2005)
13.
Rajamani, R.: Observers for lipschitz non-linear systems. IEEE Trans. Autom. Control 43(3), 397–401 (1998)
14.
Tatjewski, P.: Advanced Control of Industrial Processes: Structures and Algorithms. Advances in Industrial Control. Springer, London (2007)
15.
Witczak, M.: Fault diagnosis and fault-tolerant control strategies for non-linear systems. Lecture Notes in Electrical Engineering, vol. 266. Springer International Publishing Switzerland, Cham (2014)
16.
Zemouche, A., Boutayeb, M., Iulia Bara, G.: Observer design for nonlinear systems: an approach based on the differential mean value theorem. In: Proc. 44th IEEE Conference on Decision and Control, CDC (2005)
Metadata
Title
Towards Robust Predictive Control for Non-linear Discrete Time System
Authors
Mariusz Buciakowski
Marcin Witczak
Józef Korbicz
Copyright Year
2016
Book
Advanced and Intelligent Computations in Diagnosis and Control

Print ISBN: 978-3-319-23179-2

Electronic ISBN: 978-3-319-23180-8

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-23180-8_13

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