Technical Briefs

A Novel Higher-Order Model-Free Adaptive Control for a Class of Discrete-Time SISO Nonlinear Systems

[+] Author and Article Information
Shangtai Jin

e-mail: shtjin@bjtu.edu.cn

Zhongsheng Hou

e-mail: zhshhou@bjtu.edu.cn
Advanced Control Systems Laboratory,
School of Electronic and Information Engineering,
Beijing Jiaotong University,
Beijing 100044, China

Ronghu Chi

School of Automation and Electronic Engineering,
Qingdao University of Science and Technology,
Qingdao 266042, China
e-mail: ronghu_chi@hotmail.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 6, 2012; final manuscript received February 17, 2013; published online May 16, 2013. Assoc. Editor: Won-jong Kim.

J. Dyn. Sys., Meas., Control 135(4), 044503 (May 16, 2013) (5 pages) Paper No: DS-12-1131; doi: 10.1115/1.4023764 History: Received May 06, 2012; Revised February 17, 2013

In this work, a novel higher-order model-free adaptive control scheme is presented based on a dynamic linearization approach for a class of discrete-time single input and single output (SISO) nonlinear systems. The control scheme consists of an adaptive control law, a parameter estimation law, and a reset mechanism. The design and analysis of the proposed control approach depends merely on the measured input and output data of the controlled plant. The control performance is improved by using more information of control input and output error measured from previous sampling time instants. Rigorous mathematical analysis is developed to show the bounded input and bounded output (BIBO) stability of the closed-loop system. Two simulation comparisons show the effectiveness of the proposed control scheme.

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Grahic Jump Location
Fig. 1

Simulation comparison between the MFAC and the higher-order MFAC

Grahic Jump Location
Fig. 2

Comparative results among the AH-PI, the VRFT-PI, and the higher-order MFAC



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