scholarly journals Perturbation analysis of the LMI-based continuous-time linear quadratic regulator problem for descriptor systems

2019 ◽  
Author(s):  
Andrey Yonchev ◽  
Bogdan Gilev
Keyword(s):  
Perturbation Analysis ◽  
Continuous Time ◽  
Linear Quadratic Regulator ◽  
Descriptor Systems ◽  
Linear Quadratic ◽  
Regulator Problem ◽  
Time Linear

Perturbation Analysis of the LMI-Based Continuous-time Linear Quadratic Regulator Problem for Descriptor Systems

2016 ◽  
Vol 14 (1) ◽  
pp. 13-20
Author(s):  
A. Yonchev
Keyword(s):  
Control Problem ◽  
Perturbation Analysis ◽  
Continuous Time ◽  
Linear Quadratic Regulator ◽  
Descriptor Systems ◽  
Linear Matrix ◽  
Linear Perturbation ◽  
Linear Quadratic ◽  
Perturbation Bounds ◽  
Lqr Control

Abstract This paper considers an approach to perform perturbation analysis of linear quadratic regulator (LQR) control problem for continuous-time descriptor systems. The investigated control problem is based on solving LMIs (Linear Matrix Inequalities) and applying Lyapunov functions. The paper is concerned with obtaining linear perturbation bounds for the continuous-time LQR control problem for descriptor systems. The computed perturbation bounds can be used to study the effect of perturbations in system and controller on feasibility and performance of the considered control problem. A numerical example is also presented in the paper.

The Continuous-Time Linear Quadratic Regulator

2021 ◽  
pp. 129-132
Author(s):  
Tomas Björk ◽  
Mariana Khapko ◽  
Agatha Murgoci
Keyword(s):  
Continuous Time ◽  
Linear Quadratic Regulator ◽  
Linear Quadratic ◽  
Time Linear
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