Robust stabilization of continuous and discontinuous MIMO control systems with parameter perturbations and external disturbances

Elbrous M. Jafarov*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Citation (Scopus)

Abstract

In this paper, the conventional approach is improved for robust stabilization of a class of a continuous and discontinuous MIMO control systems with parameter perturbations and external disturbances. A brief review of current continuous and discontinuous control laws and their various design methods are analysed and based on this analysis two new state feedback controllers are proposed. One is new linear continuous type and the other is a new combining continuous type. Some sufficient conditions for the robust uniformly stability in large for the both cases of uncertain systems are established by employing the classical Lyapunov V-function method. Moreover, the sufficient conditions for the existence of a sliding mode in perturbed system with external disturbances are derived. Here we present a method of designing the sliding surface and combining control law such that the sufficient conditions of sliding motion and global exponential stability of system are parametrically obtained. Consequantly, the closed system has successfully rejected the parameter perturbations and external disturbances. The region of instability is appeared because in system presence the external disturbances.The robustness and stability degree (β>0) of perturbed systems with external disturbances driving by proposed continuous and discontinuous controllers are also investigated.

Original languageEnglish
Title of host publicationAdvances in Physics, Electronics and Signal Processing Applications
PublisherWorld Scientific and Engineering Academy and Society
Pages389-395
Number of pages7
ISBN (Print)9608052173
Publication statusPublished - 2000

Keywords

  • β-stability
  • Continuous and discontinuous control
  • Robust stabilization
  • Sliding mode
  • Uncertain system

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