Robust $\mathcal {H}_{\infty }$ State Feedback Controllers Based on Linear Matrix Inequalities Applied to Grid-Connected Converters

2019 ◽  
Vol 66 (8) ◽  
pp. 6021-6031 ◽  
Author(s):  
Gustavo Guilherme Koch ◽  
Luiz Antonio Maccari ◽  
Ricardo C. L. F. Oliveira ◽  
Vinicius Foletto Montagner
Keyword(s):  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Feedback Controllers ◽  
Grid Connected Converters

Mixed H2/H∞ Control for State-Delayed Linear Systems and a LMI Approach to the Solution of Coupled AREs

2003 ◽  
Vol 125 (2) ◽  
pp. 249-253 ◽  
Author(s):  
M. D. S. Aliyu
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Riccati Equations ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Lmi Approach ◽  
Alternative Approach

In this paper, the state-feedback mixed H2/H∞ control problem for state-delayed linear systems is considered. Sufficient conditions for the solvability of this problem are given in terms of the solution to a pair of algebraic Riccati equations similar to the nondelayed case. However, these Riccati equations are more difficult to solve than those arising in the pure H2,H∞ problems, and an alternative approach is to solve a pair of linear matrix inequalities (LMIs).

scholarly journals Stabilization of discrete-time LTI positive systems

2017 ◽  
Vol 27 (4) ◽  
pp. 575-594 ◽  
Author(s):  
Dušan Krokavec ◽  
Anna Filasová
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Linear Matrix ◽  
Positive System ◽  
Matrix Inequalities ◽  
Positive Systems ◽  
Feedback Controllers ◽  
Associated Solutions ◽  
State Observers ◽  
Time Linear

AbstractThe paper mitigates the existing conditions reported in the previous literature for control design of discrete-time linear positive systems. Incorporating an associated structure of linear matrix inequalities, combined with the Lyapunov inequality guaranteing asymptotic stability of discrete-time positive system structures, new conditions are presented with which the state-feedback controllers and the system state observers can be designed. Associated solutions of the proposed design conditions are illustrated by numerical illustrative examples.

Design Procedure Combining Linear Matrix Inequalities and Genetic Algorithm for Robust Control of Grid-Connected Converters

2020 ◽  
Vol 56 (2) ◽  
pp. 1896-1906
Author(s):  
Gustavo Guilherme Koch ◽  
Caio R. D. Osorio ◽  
Humberto Pinheiro ◽  
Ricardo C. L. F. Oliveira ◽  
Vinicius Foletto Montagner
Keyword(s):  
Genetic Algorithm ◽  
Robust Control ◽  
Linear Matrix Inequalities ◽  
Design Procedure ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Grid Connected Converters

Exponentially Dissipative Control for Singular Impulsive Dynamical Systems

2017 ◽  
Vol 139 (4) ◽  
Author(s):  
Li Yang ◽  
Xinzhi Liu ◽  
Zhigang Zhang
Keyword(s):  
Dynamical Systems ◽  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Closed Loop System ◽  
Dissipative Control ◽  
Necessary And Sufficient

This paper studies the problem of exponentially dissipative control for singular impulsive dynamical systems. Some necessary and sufficient conditions for exponential dissipativity of such systems are established in terms of linear matrix inequalities (LMIs). A state feedback controller is designed to make the closed-loop system exponentially dissipative. A numerical example is given to illustrate the feasibility of the method.

scholarly journals On Designing Feedback Controllers for Master-Slave Synchronization of Memristor-Based Chua’s Circuits

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-8
Author(s):  
Ke Ding
Keyword(s):  
Linear Matrix Inequalities ◽  
Bounded Function ◽  
Design Method ◽  
Quadratic Functions ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Feedback Controllers ◽  
Piecewise Constant ◽  
Controller Gain ◽  
Bounded Derivative

This paper is concerned with designing feedback controllers for master-slave synchronization of two chaotic memristor-based Chua’s circuits. The memductance function of memristor-based Chua’s circuits is a bounded function with a bounded derivative which is more generalized than those piecewise constant-valued functions or quadratic functions in some existing papers. The main contributions are that one master-slave synchronization criterion is established for two chaotic memristor-based Chua’s circuits, and the feedback controller gain is easily obtained by solving a set of linear matrix inequalities. One numerical example is given to illustrate the effectiveness of the design method.

Sign in / Sign up

Export Citation Format

Share Document