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State-feedback control of discrete-time switched positive linear systems

State-feedback control of discrete-time switched positive linear systems

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  • Author(s): X. Zhao 1, 2 ; L. Zhang 3 ; Z. Wang 3
    • View affiliations
    • Affiliations: 1: College of Information Science and Technology, Bohai University, Jinzhou, People’s Republic of China
      2: College of Information and Control Engineering, China University of Petroleum, Qingdao, People’s Republic of China
      3: Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, People’s Republic of China
  • Source: Volume 6, Issue 18, 6 December 2012, p. 2829 – 2834
    DOI:  10.1049/iet-cta.2011.0235 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published

This brief concerns the stabilisation problem for a class of slowly switched positive linear systems in discrete-time context. The average dwell-time switching associated with the corresponding state-feedback controllers is designed to stabilise the closed-loop systems and keep the states non-negative. The developed conditions are formulated as linear matrix inequalities, which can be directly used for controller synthesis and switching designing. Finally, a numerical example is presented to show the feasibility of the obtained theoretical results.

Inspec keywords: closed loop systems; control system synthesis; discrete time systems; time-varying systems; linear matrix inequalities; linear systems; state feedback

Other keywords: closed loop systems; stabilisation problem; average dwell-time switching design; linear matrix inequalities; nonnegative states; state feedback controller design; controller synthesis; discrete time switched positive linear systems

Subjects: Control system analysis and synthesis methods; Discrete control systems; Algebra; Time-varying control systems

References

    1. 1)
    2. 2)
    3. 3)
    4. 4)
      • D. Liberzon . (2003) Switching in systems and control.
    5. 5)
    6. 6)
    7. 7)
    8. 8)
      • Zappavigna, A., Colaneri, P., Geromel, J.C., Middleton, R.: `Stabilization of continuous-time switched linear positive systems', Proc. 2010 American Control Conf., 2010, Baltimore, MD, USA, p. 3275–3280.
    9. 9)
      • L. Farina , S. Rinaldi . (2000) Positive linear systems.
    10. 10)
    11. 11)
      • O. Mason , R. Shorten . (2003) A conjecture on the existence of common quadratic Lyapunov functions for positive linear systems, Proc. American Control Conf..
    12. 12)
    13. 13)
    14. 14)
      • Hespanha, J.P., Morse, A.S.: `Stability of switched systems with average dwell time', Proc. 38th IEEE Conf. Decision and Control, 1999, Phoenix, AZ, p. 2655–2660.
    15. 15)
    16. 16)
    17. 17)
    18. 18)
    19. 19)
    20. 20)
    21. 21)
    22. 22)
    23. 23)
    24. 24)
    25. 25)
    26. 26)
    27. 27)
    28. 28)
    29. 29)
    30. 30)
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