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Decentralized Suboptimal State Feedback Integral Tracking Control Design for Coupled Linear Time-Varying Systems

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  • Mohamed Sadok Attia
  • Mohamed Karim Bouafoura
  • Naceur Benhadj Braiek

Abstract

In this paper, a suboptimal state feedback integral decentralized tracking control synthesis for interconnected linear time-variant systems is proposed by using orthogonal polynomials. Particularly, the use of operational matrices allows, by expanding the subsystem input states and outputs over a shifted Legendre polynomial basis, the conversion of time-varying parameter differential state equations to a set of time-independent algebraic ones. Hence, optimal open-loop state and control input coefficients are forwardly determined. These data are used to formulate a least-square problem, allowing the synthesis of decentralized state feedback integral control gains. Closed-loop asymptotic stability LMI conditions are given. The proposed approach effectiveness is proved by solving a nonconstant reference tracking problem for coupled inverted pendulums.

Suggested Citation

  • Mohamed Sadok Attia & Mohamed Karim Bouafoura & Naceur Benhadj Braiek, 2020. "Decentralized Suboptimal State Feedback Integral Tracking Control Design for Coupled Linear Time-Varying Systems," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-10, July.
    • Handle: RePEc:hin:jnlmpe:7519014
    DOI: 10.1155/2020/7519014
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