期刊文献+

具有自适应内模的一类非线性系统输出调节问题 被引量:6

Output regulation for a class of nonlinear systems with adaptive internal model
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摘要 研究一类包含未知非线性项的非线性系统的鲁棒输出调节问题.此类非线性系统由一包含未知参数的线性中性稳定的外系统驱动.首先运用调节器方程组解和标准内模将输出调节问题转化为镇定问题;然后给出控制律镇定闭环系统,同时利用镇定输入项和外系统信息设计出自适应内模方程.控制律使得闭环系统的信号全局最终有界,且误差被调节至预先设定的任意小的精度值.仿真结果验证了所提出设计方法的有效性. This paper studies robust output regulation problem for a class of nonlinear systems with uncertain nonlinearities. The nonlinear system is driven by a linear, neutrally stable exosystem containing unknown parameters. Firstly, solutions to regulator equation and a canonical internal model are proposed to convert the output regulation problem to stabilization problem, Then, a robust control algorithm is designed to stabilize the close-loop system and the adaptive internal model part is presented with stabilization input items and exosystem information. The control scheme regulates the error signal to arbitrarily prescribed small neighborhood of the origin while maintaining overall signals uniform ultimate boundedness. A simulation example demonstrates the effectiveness of the designed method.
出处 《控制与决策》 EI CSCD 北大核心 2009年第5期759-763,768,共6页 Control and Decision
基金 国家自然科学基金项目(60674029) 高等学校博士学科点专项科研基金项目(20050358044)
关键词 非线性系统 不确定 输出调节 内模 Nonlinear systems Uncertainty Output regulation Internal model
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参考文献16

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二级参考文献13

  • 1Francis B A, Wonham W M. The internal model principle of control theory[J]. Automatica, 1976, 12:457-465.
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  • 5Huang J, Rugh W J. On a nonlinear multivariable servomechanism problem[J]. Automatica, 1990, 26 (6) : 963-972.
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  • 7Serrani A, Isidori A. Global robust output regulation for a class of nonlinear systems[J]. System and Control Letters, 2000, 39(2): 133-139.
  • 8Serrani A, Isidori A, Marconi L. Semiglobal nonlinear output regulation with adaptive internal model[J].IEEE Transactions on Automatic Control, 2001, 46 (8):1 178-1 194.
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  • 10Ding Z T. Output regulation of uncertain nonlinear systems with nonlinear exosystems[J].IEEE Transactions on Automatic Control, 2006, 51 (3): 498-503.

共引文献4

同被引文献48

  • 1梁勇,尚安利,邓方林.一类非线性系统的动态面二阶滑模控制[J].系统工程与电子技术,2004,26(10):1468-1470. 被引量:8
  • 2FRANCIS B A, WONHAM W M. The internal principle of control theory[J]. Automatica, 1976, 12(5):457-465.
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  • 4PRISCOLI F D. Output regulation with nonlinear internal model [J]. Systems and Control Letters, 2004, 53:177 - 185.
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  • 6BYRNES C I, ISIDORI A. Nonlinear internal model for output regulation [ J]. IEEE Transactions on Automatic Control, 2004,49 (12) :2244 -2247.
  • 7SERRANI A, ISIDORI A. Global robust output regulation for a class of nonlinear systems [ J ]. Systems and Control Letters, 2000,39 : 133 - 139.
  • 8SERRANI A, ISIDORI A. Semiglobal nonlinear output regulation with adaptive internal model[ J]. IEEE Transactions on Automatic Control, 2001,46 ( 8 ) : 1178 - 1194.
  • 9XI Zairong, DING Zhengtao. Global adaptive output regulation of a class of nonlinear systems with nonlinear exosystems [ J ]. Auto- matica, 2007,43 ( 1 ) : 143 - 149.
  • 10DING Zhengtao. Output regulation of nonlinear systems with non- linear exosystems[ J]. IEEE Transactions on Automatic Control, 2006, 51 ( 3 ) :498 - 503.

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