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Constrained H control of discrete-time systems

Published: 14 July 2011 Publication History

Abstract

In this paper the design problem is addressed for linear discrete-time systems with state variables equality constraints. Based on an equivalent linear matrix inequality representation of bounded real lemma for discrete-time systems a new formulation is provided for the control law gain computation to circumvent a generally ill conditioned singular design task. The approach is successfully illustrated on a simulation example, where validity of the proposed method is demonstrated.

References

[1]
D. Boyd, L. El Ghaoui, E. Peron and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994.
[2]
A. Filasová and D. Krokavec, Control of discrete-time systems with state equality constraints. International Journal of Circuits, Systems and Signal Processing, Vol.4, No.4, 2010, pp. 137- 144.
[3]
A. Filasová and D. Krokavec, Stable in state constrained control of discrete-time systems, In New Aspects of Systems Theory and Scientific Computation, 10th WSEAS International Conference on Systems Theory and Scientific Computation ISTASC'10, Taipei, Taiwan, 2010, pp. 153-158.
[4]
P. Gahinet, A. Nemirovski, A.J. Laub and M. Chilali, LMI Control Toolbox User's Guide, The MathWorks, Inc., Natick, 1995.
[5]
G. Herrmann, M.C. Turner and I. Postlethwaite, Linear matrix inequalities in control, In Mathematical Methods for Robust and Nonlinear Control, Springer-Verlag, Berlin, 2007, pp. 123- 142.
[6]
S. Ko and R.R. Bitmead, Optimal control for linear systems with state equality constraints, Automatica, Vol. 43, 2007, pp. 1573-1582.
[7]
D. Krokavec and A. Filasová, Performance of reconfiguration structures based on the constrained control, In Proceedings of the 17th IFAC World Congress, Seoul, 2008, pp. 1243-1248.
[8]
D. Krokavec and A. Filasová, Control reconfiguration based on the constrained LQ control algorithms, In Preprints of the 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes SAFEPROCESS 2009, Barcelona, Spain, 2009, pp. 686-691.
[9]
Y. Nesterov and A. Nemirovskii, Interior Point Polynomial Methods in Convex Programming. Theory and Applications, SIAM, Philadelphia, 1994.
[10]
D. Peaucelle, D. Henrion, Y. Labit and K. Taitz, User's Guide for SeDuMi Interface 1.04, LAAS-CNRS, Toulouse, 2002.
[11]
R.E. Skelton, T. Iwasaki and K. Grigoriadis, A Unified Algebraic Approach to Linear Control Design, Taylor & Francis, London, 1998.
[12]
Q.G. Wang. Decoupling Control, Springer-Verlag, Berlin, 2003.

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  1. Constrained H control of discrete-time systems

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    Published In

    cover image Guide Proceedings
    Proceedings of the 15th WSEAS international conference on Systems
    July 2011
    481 pages
    ISBN:9781618040237

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    World Scientific and Engineering Academy and Society (WSEAS)

    Stevens Point, Wisconsin, United States

    Publication History

    Published: 14 July 2011

    Author Tags

    1. control algorithms
    2. discrete-time systems
    3. equality constraints
    4. linear matrix inequalities
    5. quadratic stability
    6. state feedback

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