Local stabilization of linear systems under amplitude and rate saturating actuators

Gomes da Silva J.M. Jr.; Tarbouriech S.; Garcia G.

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Local stabilization of linear systems under amplitude and rate saturating actuators

机译：振幅和速率饱和执行器下线性系统的局部稳定

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This note addresses the problem of local stabilization of linear systems subject to control amplitude and rate saturation. Considering the actuator represented by a first-order system subject to input and state saturation, a condition for the stabilization of an a priori given set of admissible initial states is formulated from certain saturation nonlinearities representation and quadratic stability results. From this condition, an algorithm based on the iterative solution of linear matrix inequalities-based problems is proposed in order to compute the control law.

机译：本说明解决了受控制幅度和速率饱和影响的线性系统的局部稳定问题。考虑到由一阶系统代表的执行器会受到输入和状态饱和的影响，根据一定的饱和非线性表示和二次稳定性结果，可以确定一组先验给定的可允许初始状态的稳定条件。在此条件下，提出了一种基于线性矩阵不等式问题的迭代解的算法，以计算控制律。

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《IEEE Transactions on Automatic Control》 |2003年第5期|p.842-847|共6页
作者
Gomes da Silva J.M. Jr.; Tarbouriech S.; Garcia G.;
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原文格式 PDF
正文语种 eng
中图分类自动化系统;
关键词
actuators; control nonlinearities; iterative methods; linear matrix inequalities; linear systems; stability; LMI; admissible initial states; amplitude saturating actuators; first-order system; iterative solution; linear matrix inequalities-based problems; linear sys;

机译：执行器;控制非线性;迭代方法;线性矩阵不等式;线性系统;稳定性;LMI;允许的初始状态;振幅饱和执行器;一阶系统;迭代解;基于线性矩阵不等式的问题;线性系统;

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1. Local stabilization of linear systems under amplitude and rate saturating actuators [J] . Gomes da Silva J.M. Jr., Tarbouriech S., Garcia G. IEEE Transactions on Automatic Control . 2003,第5期

机译：振幅和速率饱和执行器下线性系统的局部稳定
2. An Approach to Local Stabilization of Linear Systems with Actuator Amplitude and Rate Saturations [J] . Hayato NAKADA, Kiyotsugu TAKABA 計測自動制御学会論文集 . 2003,第11期

机译：具有执行器振幅和速率饱和的线性系统的局部稳定方法
3. An Approach to Local Stabilization of Linear Systems with Actuator Amplitude and Rate Saturations [J] . Hayato NAKADA, Kiyotsugu TAKABA 計測自動制御学会論文集 . 2003,第11期

机译：具有致动器幅度和速率饱和度的线性系统局部稳定的方法
4. Local stabilization of linear systems under amplitude and rate saturating actuators [C] . Gomes da Silva, J.M., Jr., Decision and Control, 2000. Proceedings of the 39th IEEE Conference on . 2000

机译：振幅和速率饱和执行器下线性系统的局部稳定
5. A hybrid adaptive controller for positioning servo systems with saturating actuators and nonlinear fuzzy friction at low velocities. [D] . Majd, Vahid Johari. 1995

机译：一种用于低速时具有饱和执行器和非线性模糊摩擦的伺服系统定位的混合自适应控制器。
6. A Dynamic Hysteresis Model and Nonlinear Control System for a Structure-Integrated Piezoelectric Sensor-Actuator [O] . Xiaobiao Shan, Henan Song, Han Cao, 2021

机译：结构集成压电传感器致动器动态滞后模型和非线性控制系统
7. Local Stabilization of Linear Systems under Amplitude and Rate Saturating Actuators [O] . João M. Gomes da Silva, Jr., Sophie Tarbouriech 2007

机译：振幅和速率饱和执行器下线性系统的局部镇定

Local stabilization of linear systems under amplitude and rate saturating actuators

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