LQR Technique Based SMC Design for a Class of Uncertain Time-delay Conic Nonlinear Systems

Document Type : Research Paper

Authors

1 Department of Education, Mahabad, Iran.

2 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran.

3 Academic Center for Education, Cultural and Research (ACCECR), Rasht, Iran.

Abstract

‎In this paper‎, ‎the finite-time sliding mode controller design problem of a class of conic-type nonlinear systems with time-delays‎, ‎mismatched external disturbance and uncertain coefficients is investigated‎. ‎The time-delay conic nonlinearities are considered to lie in a known hypersphere with an uncertain center‎. ‎Conditions have been obtained to design a linear quadratic regulator based on sliding mode control‎. ‎For this purpose‎, ‎by applying Lyapunov‎- ‎Krasovskii stability theory and linear matrix inequality approach‎, ‎sufficient conditions are derived to ensure the finite-time boundedness of the closed-loop systems over the finite-time interval‎. ‎Thereafter‎, ‎an appropriate control strategy is constructed to drive the state trajectories onto the specified sliding surface in a finite time‎. ‎Finally‎, ‎an example related to the time-delayed Chua's circuit is given to demonstrate the effectiveness of the suggested method‎. ‎Also‎, ‎the efficiency of the suggested method is compared with other methods by using an another numerical example‎.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 11 August 2024

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History

  • Receive Date: 23 June 2023
  • Revise Date: 26 July 2024
  • Accept Date: 03 August 2024

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