On fault tolerant control structures incorporating fault estimation

• Autorzy: Krokavec D. , Filasová A. , Liščinský P.

Identyfikatory

DOI

10.1515/acsc-2016-0025

• Języki publikacji: EN

Abstrakty

EN

The paper provides the minimal necessary modifications of linear matrix inequality conditions for the mixed H2/H∞ control design as well as for the augmented observer-based fault estimation to be mutually compatible in joint design of integrated fault estimation and fault tolerant control. To be possible, within this integration, to design the controller which guarantees a pre-specified H∞ norm disturbance attenuation level, the design conditions has to be regularized using the H₂ performance index and, moreover, augmented fault observer must be of enforced dynamics. Analyzing the ambit of performances given on the mixed H₂/H∞ design, the joint design conditions are formulated as a minimization problem subject to convex constraints expressed by a system of LMIs. The feasibility of the conditions is demonstrated by a numerical example.

Słowa kluczowe

EN

linear systems; fault tolerant control; fault estimation; linear matrix inequalities; H∞ norm; H2/H∞ control strategy

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2016
• Tom: Vol. 26, no. 4
• Strony: 453--469
• Opis fizyczny: Bibliogr. 29 poz., rys., wykr., wzory

Twórcy

autor

Krokavec D.

• Technical University of Košice, Faculty of Electrical Engineering and Informatics, Department of Cybernetics and Artificial Intelligence, Letná 9, 042 00 Košice, fax: [phone], Slovakia

autor

Filasová A.

• Technical University of Košice, Faculty of Electrical Engineering and Informatics, Department of Cybernetics and Artificial Intelligence, Letná 9, 042 00 Košice, fax: [phone], Slovakia

autor

Liščinský P.

• Technical University of Košice, Faculty of Electrical Engineering and Informatics, Department of Cybernetics and Artificial Intelligence, Letná 9, 042 00 Košice, fax: [phone], Slovakia

Bibliografia

• [1] R. Bambang, E. Shimemura and K. Uchjida: Mixed H2/H∞ control with pole placement. State feedback case. Proc. 1993 American Control Conference, San Francisco, CA, USA, (1993), 2777-2779.
• [2] D. Boyd and V. Balakrishnan: A regularity result for the singular values of a transfer matrix and a qudratically convergent algorithm for computing its L∞-norm. Systems & Control Letters, 15(1), (1990), 1-7.
• [3] Z. Cen, H. Noura and Y. Alyounes: Systematic fault tolerant control based on adaptive Thau observer estimation for quadrotor UAVs. Int. J. Applied Mathematics and Computer Science, 25(1), (2015), 159-174.
• [4] M. Chilali and P. Gahinet: H∞ design with pole placement constraints. An LMI Approch. Proc. 33rd Conf. Decision and Control, Lake Buena Vista, FL, USA, (1994), 553-558.
• [5] S. Ding: Model-Based Fault Diagnosis Techniques. Design Schemes, Algorithms, and Tools, Berlin, Springer-Verlag, 2013.
• [6] J. Doyle, B. Francis and A. Tannenbaum: Feedback Control Theory, New York, Macmillan Publishing, 1990.
• [7] J. C. Doyle, K. Glover, P. P. Khargonekar and B. A. Francis: State-space solutions to standard H2 and H∞ control problems. IEEE Tran. Automatic Control, 34(8), (1989), 831-847.
• [8] A. Filasová and D. Krokavec: Design principles of active robust fault tolerant control systems. Robust Control. Theory and Applications, A. Bartoszewicz (Ed.), Rijeca, InTech, (2011), 309-338.
• [9] B. A. Francis: A Course in H∞ Control Theory, Berlin, Springer-Verlag, 1987.
• [10] J. C. Geromel, P. L. D. Peres and S. R. Souza: Mixed H2/H∞ control for continuous-time linear systems. Proc. 31st Conf. Decision and Control, Tuscon, AZ, USA, (1992), 3717-3722.
• [11] E. N. Goncalves, R. M. Palhares and R. H. C. Takahashi: Multiobjective optimization applied to robust H2/H∞ state-feedback control synthesis. Proc. 2004 American Control Conference, Boston, MA, USA, (2004), 4619-4624.
• [12] J. Kautsky, N. K. Nichols and P. Van Dooren: Robust pole assignment in linear state feedback. Int. J. Control, 41(5), (1985), 1129-1155.
• [13] P. P. Khargonekar and M. A. Rotea: Mixed H2/H∞ control. A Convex optimization approach. IEEE Tran. Automatic Control, 36(7), (1991), 824-831.
• [14] D. Krokavec and A. Filasová : LMI constraints on system eigenvalues placement in dynamic output control design. Proc. IEEE Multi-conference on Systems and Control MSC ’15, Sydney, Australia, (2015), 1749-1754.
• [15] D. Krokavec and A. Filasová: On enhanced mixed H2/H∞ design conditions for control of linear time-invariant systems. Proc. 17th Int. Carpathian Control Conference ICCC 2017, Tatranská Lomnica, Slovakia, (2016), 384-389.
• [16] B. P. Lampe, M. Obraszo and E. N. Rosenwasser: H2-norm computation for stable linear continuous-time periodic systems. Archives of Control Sciences, 14(2), (2004), 147-160.
• [17] J. Lan and R. J. Patton: Integrated design of robust fault estimation and fault tolerant control for linear systems. Proc. 54th Conf. Decision and Control, Osaka, Japan, (2015), 5105-5110.
• [18] F. R. Lopez-Estrada, J. C. Ponsart, D. Theilliol, C. M. Astroga-Zaragoza and J. L. Camas-Anzueto: Robust sensor fault estimation for descriptor-LPV systems with unmeasurable gain scheduling functions. Application to an anaerobic bioreactor. Int. J. Applied Mathematics and Computer Science, 25(2), (2015), 233-244.
• [19] M. Meisami-Azad, J. Mohammadpour and K. M. Grigoriadis: Upper bound mixed H2/H∞ control and integrated design for collocated structural systems. Proc. 2009 American Control Conference, St. Louis, MO, USA, (2009), 4563-4568.
• [20] K. Nonami and S. Sivrioglu: Active vibration control using LMI-based mixed H2/H∞ state and output feedback control with nonlinearity. Proc. 35th Conf. Decision and Control, Kobe, Japan, (1996), 161-166.
• [21] Y. V. Orlov and L. T. Aguilar: Advanced H∞ Control. Towards Nonsmooth Theory and Applications, New York, Springer Science, 2014.
• [22] N. Oucief, M. Tadjine and S. Laboid: Adaptive observer-based fault estimation for a class of Lipschitz nonlinear systems. Archives of Control Sciences, 26(2), (2016), 245-259.
• [23] M. A. Rotea and P. P. Khargonekar: H2-optimal control with an H∞ constraint. The state feedback case. Automatica, 27(2), (1991), 307-316.
• [24] C. Scherer: Mixed H2/H∞ control. Trends in Control. A European Perspective, A. Isidori (Ed.), Berlin, Springer-Verlag, (1995), 173-216.
• [25] F. Shi and R. J. Patton: Simultaneous state and fault estimation for descriptor systems using an augmented PD observer. Prepr. 19th IFAC World Congress, Cape Town, South Africa, (2014), 8006-8011.
• [26] F. Shi and R. J. Patton: Fault estimation and active fault tolerant control for linear parameter varying descriptor systems. Int. J. Robust and Nonlinear Control, 25(5), (2015), 689-706.
• [27] D. Tan and R. J. Patton: Integrated fault estimation and fault tolerant control. A joint design. IFAC-PapersOnLine, 48(21), (2015), 517-522.
• [28] H. Wang and G. H. Yang: Integrated fault detection and control for LPV systems. Int. J. Robust and Nonlinear Control, 19(3), (2009), 341-363.
• [29] Q. G. Wang, Z. Ye, W. J. Cai, and C. C. Hang: PID Control for Multivariable Processes, Berlin, Springer-Verlag, 2008.