scholarly journals Reduced-Order Antisynchronization of Chaotic Systems via Adaptive Sliding Mode Control

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Wafaa Jawaada ◽  
M. S. M. Noorani ◽  
M. Mossa Al-Sawalha ◽  
M. Abdul Majid
Keyword(s):  
Sliding Mode Control ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Dynamical Evolution ◽  
Adaptive Sliding Mode Control ◽  
Reduced Order ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Adaptive Sliding Mode Controller

A novel reduced-order adaptive sliding mode controller is developed and experimented in this paper to antisynchronize two different chaotic systems with different order. Based upon the parameters modulation and the adaptive sliding mode control techniques, we show that dynamical evolution of third-order chaotic system can be antisynchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to two examples: firstly Lorenz (4th-order) and Lorenz (3rd-order) and secondly the hyperchaotic Lü (4th-order) and Chen (3rd-order). Theoretical analysis and numerical simulations are shown to verify the results.

Event-triggered-based adaptive sliding mode control for networked linear control systems

2022 ◽  
pp. 014233122110689
Author(s):  
Guiling Li ◽  
Chen Peng
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Linear Control Systems ◽  
Adaptive Sliding Mode Control ◽  
Reduced Order ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Mode Function ◽  
Sliding Mode Dynamics ◽  
Event Triggered

This paper investigates the robust stabilization of the adaptive sliding mode control for a class of linear systems subjected to external disturbance via event-triggered communication (ETC) scheme. First, in order to reduce the bandwidth utilization, a discrete ETC scheme is proposed and the networked sliding mode function is derived using the ETC scheme. Based on the derived sliding mode function, a reduced-order networked sliding mode dynamics with communication delay is established. Second, by constructing a Lyapunov–Krasovskii functional (LKF), asymptotic stability and stabilization criteria of the reduced-order sliding mode dynamics are given in the form of linear matrix inequalities. According to the stabilization result, a novel event-triggered-based adaptive sliding mode controller is designed while guaranteeing the reachability of the sliding surface. Finally, simulation results illustrate the effectiveness and merit of the developed method.

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