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Application of descriptor approaches in design of PD observer-based actuator fault estimation

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Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Stability analysis and design for continuous-time proportional plus derivative state observers is presented in the paper with the goal to establish the system state and actuator fault estimation. Design problem accounts a descriptor principle formulation for non-descriptor systems, guaranteing asymptotic convergence both the state observer error as fault estimate error. Presented in the sense of the second Lyapunov method, an associated structure of linear matrix inequalities is outlined to possess parameter existence of the proposed estimator structure. The obtained design conditions are verified by simulation using a numerical illustrative example.
Rocznik
Strony
51--64
Opis fizyczny
Bibliogr. 23 poz., wykr., wzory
Twórcy
autor
  • Technical University of Kosice, Faculty of Electrical Engineering and Informatics, Department of Cybernetics and Artificial Intelligence, Letna 9, 042 00 Kosice, Slovakia
autor
  • University of Kosice, Faculty of Electrical Engineering and Informatics, Department of Cybernetics and Artificial Intelligence, Letna 9, 042 00 Kosice, Slovakia
autor
  • University of Kosice, Faculty of Electrical Engineering and Informatics, Department of Cybernetics and Artificial Intelligence, Letna 9, 042 00 Kosice, Slovakia
Bibliografia
  • [1] M. Blanke, M. Kinnaert, J. Lunze and M. Staroswiecki: Diagnosis and Fault-Tolerant Control. Springer-Verlag, Berlin, 2006.
  • [2] D. Boyd L. El Ghaoui, E. Peron and V. Balakrishnan: Linear Matrix Inequalities in System and Control Theory. SIAM, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1994.
  • [3] A. Filasova and D. Krokovec: Observer state feedback control of discretetime systems with state equality constraints. Archives of Control Sciences, 20(3), (2010), 253-266.
  • [4] A. Filasova , D. Gontkovic and D. Krokovec: Observer-based fault estimation for linear systems with distributed time delay. Archives of Control Sciences, 23(2), (2013), 169-186.
  • [5] E. Fridman and U. Shaked: A descriptor system approach to H∞ control of linear time-delay systems. IEEE Trans. on Automatic Control, 47(2), (2002), 253- 270.
  • [6] Z. Gao: PD observer parametrization design for descriptor systems. J. Franklin Institute, 342(5), (2005), 551-564.
  • [7] Z. GAO and S.X. DING: Fault estimation and fault-tolerant control for descriptor systems via proportional, multiple-integral and derivative observer design. IET Control Theory & Applications, 1(5), (2007), 1208-1218.
  • [8] W. M. Haddad and V. Chellaboina: Nonlinear Dynamical Systems and Control. A Lyapunov-Based Approach, Princeton University Press, Princeton, NJ, USA, 2008.
  • [9] K. Ilhem, J. Dalel, B. H. A. Saloua and A. M. Naceur: Observer design for Takagi-Sugeno descriptor system with Lipschitz constraints. Int. J. Instrumentation and Control Systems, 2(2), (2012), 13-25.
  • [10] T. Kaczorek: Design of regular positive and stable descriptor systems via state-feedbacks for descriptor continuous-time linear systems with singular pencils. Archives of Control Sciences, 24(3), (2014), 289-297.
  • [11] J. Kautsky, N. K. Nichols and P. Van Dooren: Robust pole assignment in linear state feedback. Int. J. Control, 41(5), (1985), 1129-1155.
  • [12] D. Krokowec and A. Filasova: On observer design methods for a class of Takagi-Sugeno fuzzy systems. Proc. of the 3rd Int. Conf. on Control, Modelling, Computing and Applications CMCA 2014, Dubai, UAE, (2014), 1-11.
  • [13] G. Lu, D. W. C. Ho and Y. Zheng: Observers for a class of descriptor systems with Lipschitz constraint. Proc. of the 2004 American Control Conference, Boston, MA, USA, (2004), 3474-3479.
  • [14] I. Masubuchi, Y. Kamitane, A. Ohara and N. Suda: H∞ control for descriptor systems. A Matrix Inequalities Approach. Automatica, 33(4), (1997), 669-673.
  • [15] B. Men, Q. Zhang, X. Li, C. Yang and Y. Chen: The stability of linear descriptor systems. Int. J. Information and Systems Sciences, 2(3), (2006), 362- 374.
  • [16] R.J. Patton and S. Klinkhieo: Actuator fault estimation and compensation based on an augmented state observer approach. Proc. of the 48th IEEE Conference on Decision and Control, Shanghai, P.R. China, (2009), 8482-8487.
  • [17] D. Peaucelle, D. Henrion, Y. Labit and K. Taitz: User’s Guide for SeDuMi Interface 1.04. LAAS-CNRS, Toulouse, France, 2002.
  • [18] J. Ren and Q. Zhang: PD observer design for descriptor systems. An LMI approach. Int. J. of Control, Automation, and Systems, 8(4), (2010), 735-740.
  • [19] F. Shi and R. J. Patton Simultaneous state and fault estimation for descriptor systems using an augmented PD observer. Prepr. of the 19th IFAC World Congress, Cape Town, South Africa, (2014), 8006-8011.
  • [20] F. Zhang, G. Liu and L. Fang: Actuator fault estimation based on adaptive H∞ observer technique. Proc. of the 2009 IEEE International Conference on Mechatronics and Automation, Changchun, P.R. China, (2009), 352-357.
  • [21] K. Zhang, B. Jiang and V. Cocquempot: Adaptive observer-based fast fault estimation. Int. J. of Control, Automation, and Systems 6(3), (2008), 320-326.
  • [22] K. Zhang, B. Jiang and P. Shi: Fast fault estimation and accommodation for dynamical systems. IET Control Theory & Applications, 3(2), (2009), 189-199.
  • [23] K. Zhang, B. Jiang and P. Shi: Observer-Based Fault Estimation and Accomodation for Dynamic Systems, Springer-Verlag, Berlin, 2013.
Uwagi
EN
The work presented in this paper was supported by VEGA, the Grant Agency of the Ministry of Education and the Academy of Science of Slovak Republic, under Grant No. 1/0348/14. This support is very gratefully acknowledged.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0a462064-8951-463e-85cb-78cda61fd58a
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