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仿射非线性系统的一种观测器设计方法 被引量：1

An Observer Design Method for Affine Nonlinear Systems
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摘要 对仿射非线性系统全维观测器设计方法进行了讨论,提出了一种设计方法.该方法基于微分R iccati方程的正定解,观测器的增益矩阵通过R iccati方程的正定解给出,因而观测器增益矩阵为时变的.通过坐标变换,用李亚普诺夫方法对观测器的存在性进行了论证.对一个实际模型的仿真分析表明了该方法的实用性和正确性.* The design methods of full-order observers for atone nonlinear systems are discussed and a kind of design method is developed. The design method is based on the positive definite solution of a differential Riccati equation,with which the time-varying gain matrix of the observer is determined. The existence of the observer is proved by a way of coordinate transformation based on Lyapunov theory. The simulation results of an actual model show the practicality and validity of the proposed observer.
作者 朱芳来
机构地区 桂林电子工业学院计算机系
出处 《信息与控制》 CSCD 北大核心 2005年第5期600-603,共4页 Information and Control
基金 国家自然科学基金资助项目(60464001) 广西省自然科学基金资助项目(桂科自0339069)
关键词 仿射非线性系统 微分Riccati方程 全维观测器 affine nonlinear system differential Riccati equation full-order observer
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献11

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同被引文献16

  • 1Fan X Z, Arcak M. Observer design for systems with multivariable monotone nonlinearities[J]. Systems & Control Letters, 2003, 50(4): 319-330.
  • 2Reif K, Sonnemann F, Unbehauen R. An EKF based nonlinear observer with a prescribed degree of stability[J]. Automatica, 1998, 34(9): 1119-1123.
  • 3Zeitz M. The extend Luenberger observer design by observer canonical forms[J]. International Journal of Control, 1988, 47(5): 1081-1100.
  • 4Ciccarella C, Dalla Mora M, Germani A. A Luenberger-like observer for nonlinear systems[J]. International Journal of Control, 1993, 57(3): 527-556.
  • 5Nam H J, Jin H S. A state observer for nonlinear systems and its application to ball and beam system[J]. IEEE Transactions on Automatic Control, 2000, 45(5): 968-973.
  • 6Alessanddri A. Observer designs for nonlinear systems by using input-to-state stability[C]//IEEE Conference on Decision and Control. Piscataway, NJ, USA: IEEE, 2004: 3892-3897.
  • 7Fridman L, Shtessel Y, Edwards C, et al. Higher-order slidingmode observer for state estimation and input reconstruction in nonlinear systems[J]. International Journal of Robust and Nonlinear Control, 2008, 18(4): 399-412.
  • 8Zhu F L, Cen E Full-order observer-based actuator fault detection and reduced-order observer-based fault reconstruction for a class of uncertain nonlinear systems[J]. Journal of Process Con- trol, 2010, 20(10): 1141-1149.
  • 9Hui S, Zak S. Observer design for systems with unknown inputs[J]. International Journal of Applied Mathematics and Computer Science, 2005, 15(4): 431-446.
  • 10Levant A. High-order sliding modes, differentiation and outputfeedback control[J]. International Journal of Control, 2003, 76(9/10): 924-941.

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信息与控制
2005年 第5期

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