基于SMC的Lorenz-Stenflo混沌系统的反同步

P. Singh, J. Samantaray, B. K. Roy, M. Ieee
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引用次数: 2

摘要

针对Lorenz-Stenflo混沌系统的反同步问题,提出了基于滑模控制(SMC)的控制器设计。采用SMC方案和李亚普诺夫稳定性理论实现了系统的反同步。为了保证闭环误差动力学在滑动运动中的稳定性,提出了滑模控制器的比例积分切换曲面。该控制器有效地保证了混沌Lorenz-Stenflo系统滑动运动的发生,并实现了主、从混沌Lorenz-Stenflo系统的反同步。通过仿真验证了所提控制策略的有效性。仿真结果表明,该方案具有较好的效果。
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Anti-synchronization of Lorenz-Stenflo chaotic system using SMC
In this paper, design of sliding mode control (SMC) based controller is proposed for anti-synchronization of Lorenz-Stenflo chaotic system. Anti-synchronization is achieved by using the SMC scheme and Lyapunov stability theory. A proportional-integral switching surface for sliding mode controller is proposed to ensure the stability of the closed-loop error dynamics in sliding motion. Proposed controller is effective and guarantees the occurrence of sliding motion and achieves the anti-synchronization of master and slave chaotic Lorenz-Stenflo systems. Simulation is performed to demonstrate the effectiveness of proposed control strategy. Simulation result reveals that proposed scheme is working satisfactorily.
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