Qu Shao‐cheng, Wang Xiao‐yan and Wang Yong‐ji
The purpose of this paper is to find a practical active sliding mode control approach for synchronization of two uncertain chaotic systems.
Abstract
Purpose
The purpose of this paper is to find a practical active sliding mode control approach for synchronization of two uncertain chaotic systems.
Design/methodology/approach
Sliding mode control approach is known to be an efficient alternative way to implement synchronization for uncertain chaotic systems. However, design of traditional sliding mode controller usually needs complex state transformation. Owing to a novel idea of virtual state feedback, a control strategy for synchronization of uncertain chaotic systems is presented, which does not need any complex state transformation. Furthermore, based on Lyapunov stability theory, a sufficient condition is drawn for the robust stability of the error dynamics of synchronization for uncertain chaotic systems.
Findings
A novel active sliding mode control approach is proposed to achieve the synchronization of two uncertain chaotic systems.
Research limitations/implications
The main limitation is that uncertainties must meet matched conditions.
Practical implications
The paper presents a useful control approach for synchronization of two uncertain chaotic systems.
Originality/value
The proposed sliding mode control approach based on novel virtual state feedback does not need any complex state transformation, unlike the traditional sliding mode control.
Details
Keywords
Qu Shao‐cheng, Gong mei‐jing and Wang yong‐ji
The purpose of this paper is to find an appropriate sliding mode control strategy for neutral systems with time‐delays in the presence of unmatched parameter uncertainties and…
Abstract
Purpose
The purpose of this paper is to find an appropriate sliding mode control strategy for neutral systems with time‐delays in the presence of unmatched parameter uncertainties and external disturbance.
Design/methodology/approach
Owing to the complexity of uncertain neutral time‐delay systems, some conclusions for system stability and stabilization are complicated non‐linear matrix inequality (NLMI). Through virtual state feedback control, a sliding mode controller is designed to guarantee state trajectories from any initial condition are attracted to the sliding mode plane in a finite time and remain there for all subsequent time, which can avoid the complicated NLMI. Furthermore, a delay‐independent sufficient condition for the design of robust stable sliding mode plane is obtained in term of LMI.
Findings
The sliding mode controller for uncertain neutral time‐delay systems is designed and a delay‐independent sufficient condition for the design of robust stable sliding mode plane is obtained.
Research limitations/implications
The main limitations are that external disturbance must meet matched condition.
Practical implications
A useful control strategy for uncertain neutral systems with time‐delays.
Originality/value
The virtual state feedback control is designed so to avoid the complicated NLMI.