Fast disturbance-observer-based robust integral terminal sliding mode control of a hyperchaotic memristor oscillator

• Published in: The European physical journal. ST, Special topics Vol. 228; no. 10; pp. 2247 - 2268
• Main Authors: Yousefpour, Amin, Jahanshahi, Hadi
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2019; Springer Nature B.V
• Subjects: Atomic; Classical and Continuum Physics; Computer simulation; Condensed Matter Physics; Control stability; Dynamics and Applications; Feedback control; Genetic algorithms; Integrals; Materials Science; Measurement Science and Instrumentation; Memristor-based Systems: Nonlinearity; Memristors; MIMO (control systems); Molecular; Nonlinear control; Nonlinear systems; Optical and Plasma Physics; Optimization; Physics; Physics and Astronomy; Regular Article; Saturation; Sliding mode control; Stabilization; Tracking control
• ISSN: 1951-6355; 1951-6401
• DOI: 10.1140/epjst/e2019-900041-4

This paper is concerned with the stabilization and tracking control of a hyperchaotic memristor oscillator using a novel disturbance-observer-based integral terminal sliding mode control. Firstly, the dynamic behaviours of the hyperchaotic memristor oscillator are investigated. Afterward, the fast disturbance-observer is combined with integral terminal sliding mode control for multi-input-multi-output (MIMO) nonlinear relative degree one systems in presences of external disturbance, unknown input saturation, and control singularity. The Lyapunov stability theorem is implemented to prove the finite time convergence of the closed-loop system. Furthermore, to specify the parameters of the proposed controller, the genetic algorithm optimization is applied to decrease chattering of the system’s response. Simulation results are presented to show the appropriate performance of the proposed control scheme in terms of stabilization and tracking control in the presence of external disturbances and input saturation.