Optimal guaranteed cost control and filtering for uncertain linearsystems

Petersen I.R.; McFarlane D.C.

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Optimal guaranteed cost control and filtering for uncertain linearsystems

机译：不确定线性系统的最优保证成本控制和滤波

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摘要

The paper presents results on the design of robust state feedback controllers and steady-state robust state estimators for a class of uncertain linear systems with norm bounded uncertainty. The state feedback results extend the linear quadratic regulator to the case in which the underlying system is dependent on uncertain parameters. The state estimation results extend the steady-state Kalman filter to the case in which the underlying system is also uncertain

机译：本文介绍了一类具有范数有界不确定性的不确定线性系统的鲁棒状态反馈控制器和稳态鲁棒状态估计器的设计结果。状态反馈结果将线性二次调节器扩展到基础系统依赖不确定参数的情况。状态估计结果将稳态卡尔曼滤波器扩展到基础系统也不确定的情况

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《IEEE Transactions on Automatic Control》 |1994年第9期|p.1971-1977|共7页
作者
Petersen I.R.; McFarlane D.C.;
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正文语种 eng
中图分类自动化系统;
关键词
Kalman filters; control system synthesis; feedback; filtering and prediction theory; optimal control; stability; state estimation; LQ regulator; linear quadratic regulator; norm bounded uncertainty; optimal guaranteed cost control; robust state feedback controller;

机译：卡尔曼滤波器;控制系统综合;反馈;滤波与预测理论;最优控制;稳定性;状态估计;LQ调节器;线性二次调节器;范数有界不确定性;最优保证成本控制;鲁棒状态反馈控制器;

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专利

1. Optimal guaranteed cost control and filtering for uncertain linear systems [J] . Petersen I.R., McFarlane D.C. IEEE Transactions on Automatic Control . 1994,第9期

机译：不确定线性系统的最优保证成本控制和过滤
2. OPTIMAL GUARANTEED COST FILTERING FOR UNCERTAIN DISCRETE-TIME LINEAR SYSTEMS [J] . Petersen IR., Mcfarlane DC. International Journal of Robust and Nonlinear Control . 1996,第4期

机译：不确定离散时间线性系统的最优保证成本滤波
3. Predictor-based optimal robust guaranteed cost control for uncertain nonlinear systems with completely tracking errors constraint [J] . Wang Minlin, Ren Xuemei, Dong Xueming, Journal of the Franklin Institute . 2019,第13期

机译：具有完全跟踪误差约束的不确定非线性系统基于预测变量的最优鲁棒保本成本控制
4. Guaranteed cost LQG filtering for stochastic discrete time uncertain systems via risk-sensitive control [C] . Ugrinovskii, V.A., Petersen, . 1999

机译：通过风险敏感型控制为随机离散时间不确定系统保证成本的LQG过滤
5. Optimal control design for polynomial nonlinear systems using sum of squares technique with guaranteed local optimality. [D] . Boonnithivorakul, Nattapong. 2010

机译：多项式非线性系统的最优控制设计，采用平方和技术，保证局部最优。
6. Controlling T2 Blurring in 3D RARE Arterial Spin Labeling Acquisition through Optimal Combination of Variable Flip Angles and k-space Filtering [O] . Li Zhao, Ching-Di Chang, David C. Alsop -1

机译：通过可变翻转角和k空间滤波的最佳组合来控制3D RARE动脉自旋标记获取中的T2模糊
7. LMI Approach to Suboptimal Guaranteed Cost Control for 2-D Discrete Uncertain Systems [O] . Amit Dhawan, Haranath Kar 2011

机译：离散离散二维系统次最优保证成本控制的LMI方法

Optimal guaranteed cost control and filtering for uncertain linearsystems

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