首页|Higher-order properties and extensions for indirect MR AC and APPC of linear systems

Higher-order properties and extensions for indirect MR AC and APPC of linear systems

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Recently,a reference derived some new higher-order output tracking properties for direct model reference adaptive control(MRAC)of linear time-invariant(LTI)systems:limt→∞ e(i)(t)=0,i=1,…,n*-1,where n*and e(i)(t)denote the relative degree of the system and the i-th derivative of the output tracking error,respectively.However,a naturally arising question involves whether indirect adaptive control(including indirect MRAC and indirect adaptive pole placement control)of LTI systems still has higher-order tracking properties.Such properties have not been reported in the literature.Therefore,this paper provides an affirmative answer to this question.Such higher-order tracking properties are new discoveries since they hold without any additional design conditions and,in particular,without the persistent excitation condition.Given the higher-order properties,a new adaptive control system is developed with stronger tracking features.(1)It can track a reference signal with any order derivatives being unknown.(2)It has higher-order exponential or practical output tracking properties.(3)Finally,it is different from the usual MRAC system,whose reference signal's derivatives up to the n*order are assumed to be known.Finally,two simulation examples are provided to verify the theoretical results obtained in this paper.

higher-order trackingindirect adaptive controlmodel reference adaptive controladaptive pole placement control

Yanjun ZHANG、Zhipeng ZHANG、Jian SUN、Lei WANG、Kangkang ZHANG

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National Key Lab of Autonomous Intelligent Unmanned Systems,Beijing Institute of Technology,Beijing 100081,China

School of Automation,Beijing Institute of Technology,Beijing 100081,China

Beijing Institute of Technology Chongqing Innovation Center,Chongqing 401120,China

College of Control Science and Engineering,Zhejiang University,Hangzhou 310058,China

Department of Electrical and Electronic Engineering,Imperial College London,London SW72AZ,UK

KIOS Research and Innovation Center of Excellence,University of Cyprus,P.O.Box 20537,Nicosia 1678,Cyprus

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国家自然科学基金国家自然科学基金国家自然科学基金国家自然科学基金国家自然科学基金国家自然科学基金FoundationBeijing Institute of Technology Research Fund Program for Young Scholars

6232230461925303621733236200327762088101U20B20732019-JCJQ-ZD-049

2024

10.1007/s11432-023-3874-6

中国科学:信息科学(英文版)
中国科学院

中国科学:信息科学(英文版)

CSTPCDEI
影响因子：0.715
ISSN：1674-733X
年,卷(期)：2024.67(4)
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