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Dissipative reliable controller design for uncertain systems and its application

Author

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  • Sakthivel, R.
  • Rathika, M.
  • Santra, Srimanta
  • Zhu, Quanxin

Abstract

This paper address the reliable robust strictly (Q, R, S) dissipative control problem for a class of uncertain continuous time systems with input delay and linear fractional uncertainties despite possible actuator failures in system model. In particular, by employing a novel Lyapunov functional together with delay fractioning approach, a reliable control law is designed in terms of the solution of certain linear matrix inequalities which makes the considered system strictly (Q, R, S) dissipative which can be easily solved by using the available software. At the same time, as special cases the H∞, passivity, mixed H∞ and passivity control problems can obtained from the proposed dissipative control formulation. This explains the fact that the dissipative control unifies H∞ control, passive control, and mixed H∞ and passivity control in a single framework. Finally, a numerical example based on a mechanical system is given to demonstrate the effectiveness and applicability of the proposed design approach. More precisely, the proposed results have been compared through numerical simulation which reveals that the obtained criteria are considerably less conservative than some existing results.

Suggested Citation

  • Sakthivel, R. & Rathika, M. & Santra, Srimanta & Zhu, Quanxin, 2015. "Dissipative reliable controller design for uncertain systems and its application," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 107-121.
    • Handle: RePEc:eee:apmaco:v:263:y:2015:i:c:p:107-121
    DOI: 10.1016/j.amc.2015.04.009
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    References listed on IDEAS

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    1. Dan Zhang & Li Yu, 2012. "Fault-Tolerant Control for Discrete-Time Switched Linear Systems with Time-Varying Delay and Actuator Saturation," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 157-176, April.
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    Cited by:

    1. Sakthivel, R. & Saravanakumar, T. & Kaviarasan, B. & Marshal Anthoni, S., 2016. "Dissipativity based repetitive control for switched stochastic dynamical systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 340-353.
    2. Kumar, S. Vimal & Anthoni, S. Marshal & Raja, R., 2019. "Dissipative analysis for aircraft flight control systems with randomly occurring uncertainties via non-fragile sampled-data control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 217-226.

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