离散混沌系统的参数自适应控制

Parametric Adaptive Control of Discrete Chaotic Systems

提出多重参数离散混沌系统的参数自适应控制的新方法。利用可调系统与参考模型之间的耦合关系，给出基于系统变量作为观测量的参数自适应控制算法，采用Ｌｙａｐｕｎｏｖ函数方法证明了参数控制系统是渐近稳定的。仿真结果表明文中给出的控制算法具有较快的收敛速度。并讨论了系统参数是非线性形式的一般系统及其不确定的外界噪声扰动对系统的影响。

A novel parametric adaptive control of discrete chaotic systems with multi-parameters is presented. Utilizing the coupling equations between the system and the model, the proposed algorithm corrects perturbations in the parameters of a system based on observations of its variables. The Lyapunov function is used to prove that parameter control equations are asymptotically stable. The simulation results are shown that the control algorithm is of very quick convergent speed. The nonlinear forms of the system parameters under external disturbance of uncertain noises are discussed at last.