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		Ronghu CHI,Zhongsheng HOU.[en_title][J].Control Theory and Technology,2005,3(3):247~251.[Copy]

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RonghuCHI,ZhongshengHOU
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Received:June 08, 2005Revised:August 22, 2005

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Optimal higher order learning adaptive control approach for a class of SISO nonlinear systems

Ronghu CHI, Zhongsheng HOU

(School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044,China;School of Electronics and Information Engineering,Beijing Jiaotong University,Beijing 100044,China)

Abstract:

In this paper,an optimal higher order learning adaptive control approach is developed for a class of SISO nonlinear systems.This design is model-free and depends directly on pseudo-partial-derivatives derived on-line from the input and output information of the system.A novel weighted one-step-ahead control criterion function is proposed for the control law.The convergence analysis shows that the proposed control law can guarantee the convergence under the assumption that the desired output is a set point.Simulation examples are provided for nonlinear systems to illustrate the better performance of the higher order learning adaptive control.

Key words: Optimization Higher order Learning adaptive control Model_free Nonlinear system