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Constrained infinite-horizon linear quadratic regulation of continuous-time systems

机译：约束无限地平线线性二次调节连续时间系统

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摘要

In this paper, we consider the output norm-constrained infinite-horizon linear quadratic regulation problem. Each suboptimal problem admits sufficient and necessary conditions expressed by an increasing union of matrix inequalities and results in an eventually time-invariant controller satisfying the desired performance level subject to given constraints and closed-loop stability. The output norm-constrained control problem is also dealt with as a corollary.

机译：在本文中，我们考虑产出规范约束的无限周边线性二次调节问题。每个次优问题承认由矩阵不等式的增加结合表示的充分和必要条件，并导致最终的时间不变的控制器，满足所需的性能水平，经过给定的约束和闭环稳定性。输出规范约束控制问题也被称为推论。

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来源
《Chinese Control Conference》|2011年||共6页
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作者
Gao Xiang-Yu; Zhang Xian;
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中图分类 TP273-53;
关键词
Constrained linear quadratic regulator (LQR); Continuous time system; Matrix inequality; Optimal control;

机译：受约束的线性二次调节器（LQR）;连续时间系统;矩阵不等式;最佳控制;

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1. Solution for the Continuous-Time Infinite-Horizon Linear Quadratic Regulator Subject to Scalar State Constraints [J] . Thijs van Keulen IEEE Control Systems Letters . 2020,第1期

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2. Continuous-Time Q-Learning for Infinite-Horizon Discounted Cost Linear Quadratic Regulator Problems [J] . Palanisamy M., Modares H., Lewis F.L., Cybernetics, IEEE Transactions on . 2015,第2期

机译：无限时间折扣成本线性二次调节器问题的连续时间Q学习
3. Reinforcement Learning-Based Linear Quadratic Regulation of Continuous-Time Systems Using Dynamic Output Feedback [J] . Rizvi Syed Ali Asad, Lin Zongli Cybernetics, IEEE Transactions on . 2020,第11期

机译：使用动态输出反馈的加固基于学习的线性二次调节连续时间系统
4. Constrained infinite-horizon linear quadratic regulation of continuous-time systems [C] . Gao Xiang-Yu, Zhang Xian 2011 30th Chinese Control Conference . 2011

机译：连续时间系统的约束无限水平线性二次调节
5. Scalar sign function-based digital controller design for constrained continuous-time nonlinear systems. [D] . Wu, Jian. 2009

机译：基于标量符号函数的数字控制器设计，用于约束连续时间非线性系统。
6. Creating Better Collision-Free Trajectory for Robot Motion Planning by Linearly Constrained Quadratic Programming [O] . Yizhou Liu, Fusheng Zha, Mantian Li, 2021

机译：通过线性约束的二次编程为机器人运动规划创造更好的碰撞轨迹
7. Shifting linear quadratic control of constrained continuous-time descriptor LPV systems**This work has been funded by the Spanish Ministry of Science and Technology through the projects CICYT ECOCIS (ref. DPI2013-48243-C2-1-R) and CICYT HARCRICS (ref. DPI2014-58104-R), by AGAUR through the contract FI-DGR 2014 (ref. 2014FI B1 00172) and by the DGR of Generalitat de Catalunya (SAC group Ref. 2014/SGR/374). [O] . Damiano Rotondo, Fatiha Nejjari, Vicenç Puig 2015

机译：转换线性二次控制约束连续时间描述符LPV系统**这项工作由西班牙科技部通过项目骑自行车eCocis（Ref.DPI2013-48243-C2-1-R）和骑自行车钩（Ref 。DPI2014-58104-R），通过Agaur通过合同Fi-DGR 2014（参考2014FI B1 00172）和DER of Generalitat de Catalunya（SAC Group Ref.2014 / SGR / 374）。
8. Regularity and Singularity in Linear-Quadratic Control Subject to Implicit Continuous-Time Systems. [R] . Geerts, T. 1993

机译：隐式连续时间系统的线性二次控制的正则性和奇异性。

Constrained infinite-horizon linear quadratic regulation of continuous-time systems

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