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不确定线性连续时变系统的鲁棒状态和输入同时估计
Robust State and Input Simultaneous Estimation for Continuous Linear Time-Varying Uncertain Systems
【Author】 You Fuqiang,Wang Fuli,Guan Shouping Key Laboratory of Integrated Automation of Process Industry,Ministry of Education,Northeastern University,Shenyang 110004,P.R.China
【机构】 东北大学流程工业综合自动化教育部重点实验室;
【摘要】 在H∞框架下,解决了不确定线性连续时变系统的鲁棒状态和输入同时估计问题。使用线性二次微分对策,给出了该问题有解的充分条件,表达为两个Riccati方程形式。同时,提出了估计器的参数化设计方法。估计器具有分离的新息结构,一方面,经增益矩阵调节,新息更新状态估计;另一方面,经投影矩阵映射,新息提供了输入估计。该估计器在控制、滤波、信号处理和故障诊断领域具有广泛的用途。
【Abstract】 State and input simultaneous estimation for continuous linear time varying systems with norm-bounded parametric uncertainty are addressed in H ∞ setting.Using linear quadratic game formulation,sufficient solvable conditions for the problem are presented in terms of solution to two Riccati equations.One possible estimator is then presented with separation innovation structure,where innovation is used to update state observation tuned by a gain matrix and simultaneously to provide input estimation through a projector matrix.With state and input simultaneous estimation ability,the proposed estimator has a wide application in control,filtering,signal processing and fault diagnosis.
【Key words】 Linear time-varying systems; Robust estimation; Game theory; Riccati equation;
- 【会议录名称】 第二十七届中国控制会议论文集
- 【会议名称】第二十七届中国控制会议
- 【会议时间】2008-07-16
- 【会议地点】中国云南昆明
- 【分类号】TP13
- 【主办单位】中国自动化学会控制理论专业委员会(Technical Committee on Control Theory,Chinese Association of Automation)