Tracking Control of Duffing-Holmes Chaotic Systems with Uncertainty
The tracking control problem of Duffing-Holmes chaotic systems containing dynamic uncertainties and unknown parameters is studied. Based on the backstepping design method and Nussbaum-type gain function method, the system unknown parameters are adaptively identified, and the exogenous disturbances is attenuated by Nussbaum-type functions. The derived adaptive robust controller guarantees the closed-loop system globally uniformly ultimate bound, and the tracking error is convergent to a small neighborhood of zero. In addition, the desired performance can be achieved by an appropriate choice of design parameters, and the controller singular problem can be avoided simultaneously. Simulation results demonstrate that the designed adaptive nonlinear tracking controller owns super robustness and adaptability.
Chaotic systems parameter uncertainty external disturbances backstepping method Nussbau-type gain
Wenlei Li Weixing Lin
School of Information Science & Engineering, Ningbo University, Ningbo, Zhejiang Province, 315211, China
国际会议
第四届亚太地区混沌控制与同步会议(The Fourth Asia-Pacific Workshop on Chaos Control and Synchronization)
哈尔滨
英文
193-199
2007-08-24（万方平台首次上网日期，不代表论文的发表时间）