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一类参数不确定系统的输出反馈自适应稳定控制设计 被引量:1

OUTPUT FEEDBACK ADAPTIVE STABILIZING CONTROL DESIGN FOR A CLASS OF SYSTEMS WITH UNCERTAIN PARAMETERS
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摘要 研究一类n阶、相对阶为n-m(n为任意自然数,m≤n为非负整数)参数不确定系统的输出反馈自适应镇定控制设计问题。所给出的控制器适用于相对阶为n-m的n阶系统,通过引入一个新型的3n+2m阶动态补偿器,构造性地给出了输出反馈自适应镇定控制器的显式表达,所设计的控制器使得闭环系统所有信号有界或渐近稳定。 In this paper, the output-feedback adaptive stabilization control design is investigated for a class of n-order, (n - m)-relative-degree (n is a natural number, m≤ n is a nonnegative integer) minimum-phase linear systems with unknown parameters. The controller presented is applicable to n-order systems with n -m relative degree. By introducing a novel (3n + 2m)-order dynamic compensator, the output-feedback adaptive stabilizing controller is constructively designed. The controller designed guarantees that all the signals of the closed-loop system are either bounded or asymptotically stable.
出处 《系统科学与数学》 CSCD 北大核心 2007年第3期431-439,共9页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(60674036) 山东省科技发展计划(2004GG4204014)资助课题
关键词 参数不确定系统 最小相位 输出反馈 自适应镇定 LYAPUNOV稳定性理论 Systems with unknown parameters, minimum-phase, output-feedback, adaptive stabilization, Lyapunov stability theory.
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参考文献16

  • 1Morse A S. Global stability of parameter-adaptive control systems. IEEE Trans. Automat. Contr., 1980, 25(3): 433-439.
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二级参考文献17

  • 1MORSE A S.Global stability of parameter-adaptive control systems[J].IEEE Trans Automat Contr,1980,25(3):433-439.
  • 2MORSE A S.A 4(n + 1)-dimensional model reference adaptive stabilizer for any relative degree one or two,minimum phase system if dimension n or less[J].Automatica,1987,23(1):123-125.
  • 3NARENDRA K S,LIN Y H.Design of stable model reference adaptive controllers[M].New York:Academic Press,1980.69-130.
  • 4NARENDRA K S,LIN Y H,VALAVANI L S.Stable adaptive controller design-part Ⅱ:proof of stability[J].IEEE Trans Automat Contr,1980,25(3):440-448.
  • 5BOYD S,SASTRY S.Necessary and sufficient conditions for parameter convergence in adaptive control[J].Automatica,1986,22(6):629-639.
  • 6MORSE A S.Recent problems in parameter adaptive control[J].CNRS Colloquium on Development and Utilization of Mathematical Models in Automatic Control,1983,(3):733-740.
  • 7MORSE A S.A three-dimensional universal controller for the adaptive stabilization of any strictly proper minimum-phase system with relative degree not exceeding two[J].IEEE Trans Automat Contr,1985,30(12):1188-1191.
  • 8NARENDRA K S,ANNASWAMMY A.Stable adaptive systems[M].Englewood Cliffs,NJ:Prentice-Hall,1989.
  • 9NUSSBAUM R D.Some remarks on a conjecture in paraneter adaptive control[J].Systems and Control Letters,1983,3(5):243-246.
  • 10ILCHMANN A.Non-identifier-based high-gain adaptive control[M].New York:Springer-Verlag,1993.

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