Robust and resilient stabilization and tracking control for chaotic dynamical systems with uncertainties

Waseem Abbasi, Yen Chen Liu

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this article, a robust resilient design methodology for stabilization and tracking control for a class of chaotic dynamical systems is proposed. In particular, a resilient quasi-sliding mode control law is formulated to suppress the chaotic behaviour of these dynamical systems, while considering uncertainties in control input. By using Lyapunov stability theory, sufficient conditions are derived in terms of Linear Matrix Inequalities (LMIs) for a more general class of chaotic nonlinear dynamical systems satisfying the Lipschitz continuity condition. The control gains are obtained via LMI technique in the presence of bounded additive uncertainties in control input. Numerical simulations are provided for Chua’s circuit, Lorenz system, and 4D Lü hyper-chaotic system to show the supremacy and effectiveness of the proposed design methodologies.

Original languageEnglish
Pages (from-to)1746-1756
Number of pages11
JournalInternational Journal of Dynamics and Control
Volume9
Issue number4
DOIs
Publication statusPublished - 2021 Dec

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Civil and Structural Engineering
  • Modelling and Simulation
  • Mechanical Engineering
  • Control and Optimization
  • Electrical and Electronic Engineering

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