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一种参数不确定性系统的鲁棒状态估计方法 被引量：1

Robust State Estimation for the System with Parametric Uncertainty
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摘要 研究具有时变和模有界的参数不确定性系统的状态估计问题 .针对目前鲁棒状态估计中不确定性参数仅出现于状态矩阵和输出矩阵的问题 ,介绍了一种系统状态方程和输出方程的所有矩阵中都含有不确定性参数的状态估计算法 .该算法通过求解两个代数 Riccati方程的正定解 ,得到了使得估计过程二次稳定的状态估计器 .此算法不但经过了理论证明 。 A state estimation for the system with parametric uncertainty was studied. The parameter uncertainties are described by the real time varying and norm bounded form. This paper allows for the parameter uncertainty in the coefficient matrices of all matrices in the state model, which is different from other papers that study robust state estimation with parametric uncertainty in the state and output matrices only. The method solves the positive definite solutions for two algebraic Riccati equations to obtain the parameters of the estimator. Both the proof of theory and simulation show this method is simple and effective.
作者 蔡云泽 何星 许晓鸣 张卫东
机构地区 上海交通大学自动化系
出处 《上海交通大学学报》 EI CAS CSCD 北大核心 2002年第8期1143-1145,共3页 Journal of Shanghai Jiaotong University
基金 国家自然科学基金 (6980 40 0 7) 上海市科技启明星计划资助项目 (99QD14 0 12 )
关键词 参数有确定性系统 鲁棒状态估计 RICCATI方程 状态矩阵 输出矩阵 滤波估计 robust state estimation parametric uncertainty Riccati equation
分类号 TP271.7 [自动化与计算机技术—检测技术与自动化装置] 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8

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同被引文献8

  • 1Fu M, de Souza C E, Xie L. H∞ estimation for uncertain systems [J]. International Journal of Robust Nonlinear Control, 1992, 2(2) .87-- 105.
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  • 6Wang Y, Xie L, de Souza C E. Robust H∞control of a class of uncertain nonlinear system[J]. System and Control Letters, 1994, 39(2) :139--149.
  • 7Gahinet P, Apkarian P. A linear matrix inequality approach to H∞control . International Journal of Robust and Nonlinear Control, 1994, 4 (5). 421 --448.
  • 8Iwasaki T, Skelton R E. All controllers for the general H∞control problem: LMI existence conditions and state space formulas [J]. Automatiea, 1994, 30(8) : 1307-- 1317.

引证文献1

上海交通大学学报
2002年 第8期

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