Abstract
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.
基金项目
国家自然科学基金(62322304)
国家自然科学基金(61925303)
国家自然科学基金(62173323)
国家自然科学基金(62003277)
国家自然科学基金(62088101)
国家自然科学基金(U20B2073)
Foundation(2019-JCJQ-ZD-049)
Beijing Institute of Technology Research Fund Program for Young Scholars()
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