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Interval state estimation for linear time-varying (LTV) discrete-time systems subject to component faults and uncertainties

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper deals with the design of an interval state estimator for linear time-varying (LTV) discrete-time systems subject to component faults and uncertainties. These component faults and uncertainties are assumed to be unknown but bounded without giving any other information, whose effect can be approximated using these bounds. In the first part of this work, an interval state estimator for such systems is designed to deal with these component faults and uncertainties. The result is then extended to find an interval state estimator for a noncooperative LTV discrete-time system subject to component faults and uncertainties by similarity transformation of coordinates. The proposed interval state estimator guaranteed bounds on the observed states that are consistent with the system states. The observer convergence is also ensured. The designed method is simple and easy to be implemented. Two numerical examples are given to show the effectiveness of the proposed method.
Rocznik
Strony
289--305
Opis fizyczny
Bibliogr. 31 poz., wykr., wzory
Twórcy
autor
  • College of Automation Science and Technology, South China University of Technology, Guangzhou 510641, People’s Republic of China
autor
  • College of Automation Science and Technology, South China University of Technology, Guangzhou 510641, People’s Republic of China
  • Guangdong Provincial Key Laboratory of Technique and Equipment for Macromolecular Advanced Manufacturing, South China University of Technology, Guangzhou 510641, People’s Republic of China
  • College of Automation Science and Technology, South China University of Technology, Guangzhou 510641, People’s Republic of China
autor
  • College of Automation Science and Technology, South China University of Technology, Guangzhou 510641, People’s Republic of China
Bibliografia
  • [1] G. Besancon (Ed.): Nonlinear observers and applications. Lecture Notes in Control and Information Sciences, Berlin: Springer Verlag, 2007.
  • [2] T. Meurer, K. Graichen, and E. D. Gilles (Eds.): Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems. Lecture Notes in Control and Information Sciences, Springer, 2005.
  • [3] H. Nijmeijer and T. I. Fossen: New Directions in Nonlinear Observer Design. London, U. K.: Springer-Verlag, 1999.
  • [4] J. Tsinias: Time-varying observers for a class of nonlinear systems. System and Control Letters, 57 (2008), 1037–1047
  • [5] F. Yang, Z. Wang, and Y. S. Hung: Robust Kalman filtering for discrete-time-varying uncertain systems with multiplicative noises. IEEE Transactions on Automatic Control, 47(7) (2002), 1179–1183.
  • [6] R. Reif and R. Unbehauen: The extended Kalman filter as an exponential observer for nonlinear systems. IEEE Transactions on Signal Processing, 47(8) (1999), 2324–2328.
  • [7] H. F. Grip, A. Saberi, and T. A. Johansen: State and parameter estimation for nonlinearly parameterized systems: an H1-based approach. In IFAC world congress, (2011), 2997–3002.
  • [8] F. Mazenc, T. N . Dinh, and S.I. Niculescu: Interval observers for discrete-time systems. IEEE 51st Annual Conference on Decision and Control, Maui, Hawaii, (2012), 6755–6760.
  • [9] R. Lamouchi, M. Amairi, T. Raissi, and M. Aoun: Interval observer design for Linear Parameter-Varying systems subject to components faults. 24th Mediterranean Conference on Control and Automation (MED), Athens, Greece, 2016.
  • [10] D. Efimov, T. Raissi, W. Perruquetti, and A. Zolghadri: Estimation and control of discrete-time LPV systems using interval observers. IEEE 52nd Annual Conference on Decision and Control, (2013), 5036–5041.
  • [11] T. Raissi, G. Videau, and A. Zolghadri: Interval observer design for consistency checks of nonlinear continuous-time systems. Automatica, 46(3) (2010), 518–527.
  • [12] S. Chebotarev, D. Efimov, T. Raďssi and A. Zolghadri: Interval observers for continuous-time LPV systems with L2=L1 performance. Automatica, 58 (2015), 82–89.
  • [13] F. Mazenc, N. T. Dinh, and S. N. Niculescu: Robust interval observers and stabilization design for discrete-time systems with input and output. Automatica, 49(11) (2013), 3490–3497.
  • [14] E. H. R. Thabet, T. Raissi, C. Combastel, D. Efimov, and A. Zolghadri: An effective method to interval observer design for time-varying systems. Automatica, 50 (2014), 2677–2684.
  • [15] F. Cacace, A. Germani and C. Manes: A New Approach to Design Interval Observers for Linear Systems. IEEE Transactions on Automatic Control, 60(6) (2015), 1665–1670.
  • [16] M. Moisan, O. Bernard, and J. L. Gouze: Near optimal interval observers bundle for uncertain bio-reactors. Automatica, 45(1) (2009), 291–295.
  • [17] O. Bernard and J. L. Gouze: Closed loop observers bundle for uncertain biotechnological models. Journal of Process Control, 14 (2004), 765–774.
  • [18] S. Chebotarev, D. Efimov, T. Raissi, and A. Zolghadri: On interval observer design for a class of continuous-time LPV systems. IFAC Proceedings, 46(23) (2013), 68–73.
  • [19] F. Mazenc, S. I. Niculescu, and O. Bernard: Exponentially Stable Interval Observers for Linear Systems with Delay. SIAM Journal on Control and Optimization, 50 (2012), 286–305.
  • [20] F. Mazenc, T.N. Dinh, and S. I. Niculescu: Continuous – Discrete Interval Observers for Monitoring Microalgae Cultures. Biotechnology Progress, 25(3) (2009), 667–675.
  • [21] H. L. Smith: Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems. American Mathematical Society, Mathematical surveys and monographs, 1995.
  • [22] G. Goffaux, A. V. Wouwer, and O. Bernard: Asymptotically Stable Interval Observers for Planar Systems with Complex Poles. IEEE Transactions on Automatic Control, 55(2) (2010), 523–527.
  • [23] C. Combastel and S. A. Raka: A stable interval observer for LTI systems with no multiple poles. IFAC Proceedings, 44(1) (2011), 14335–14341.
  • [24] C. Combastel: Stable interval observers in C for linear systems with time-varying input bounds. IEEE Transactions on Automatic Control, 58(2) (2013), 481–487.
  • [25] F. Mazenc and O. Bernard: Interval observers for linear time-invariant systems with disturbances. Automatica, 47(1) (2011), 140–147.
  • [26] T. Raďssi, D. Efimov, and A. Zolghadri: Interval state estimation for a class of nonlinear systems. IEEE Transactions on Automatic Control, 57(1) (2012), 260–265.
  • [27] T. Raďssi, D. Efimov, and A. Zolghadri: Control of nonlinear and LPV systems: interval observer-based framework. IEEE Transactions on Automatic Control, 58(3) (2013), 773–782.
  • [28] D. Efimov, T. Raissi, T. Perruquetti, and A. Zolghadri: Interval observers for time-varying discrete-time systems. IEEE Transactions on Automatic Control, 58(12) (2013), 3218–3224.
  • [29] D. Efimov, T. Raissi, S. Chebotarev, and A. Zolghadri: On setmembership observer design for a class of periodical time-varying systems. Conference on decision and control, Maui, HI, USA, 2012.
  • [30] D. Efimov, T. Raissi, S. Chebotarev, and A. Zolghadri: Interval state observer for nonlinear time-varying systems. Automatica, 49(1) (2013), 200–205.
  • [31] Z. He and X. Wei: Control of nonlinear systems based on interval observer design. IET Control Theory and Applications, 12(4) (2018), 543–548.
Uwagi
EN
1. This work was supported by YangFan Innovative and Entepreneurial Research Team Projectof Guangdong Province under the grant 2016YT03G125, National Nature Science Foundation of China under the grant 61803161, Natural Science Foundation of Guangdong Province under the grant 2017A030313385 & 2018A030310371, Science and Technology Planning Project of Guangdong Province under the grant 2017B090914001, 2017A040403064, 2017B090901040, 2017B030306017 & 2017A040405023, Innovative Research Team Project of Jiangmen under the grant 2017TD03 and the scholarship from China Scholarship Council (CSC) under the grant CSC No. 2016GXZ344.
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
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