A stable state-feedback fuzzy controller employing linear matrix inequalities for flexible link robotic arm

2005 ◽  
Author(s):  
A. Chatterjee ◽  
R. Chatterjee ◽  
F. Matsuno ◽  
T. Endo
Keyword(s):  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Fuzzy Controller ◽  
Stable State ◽  
Robotic Arm ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Flexible Link

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).

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 Linear Matrix Inequalities in Multirate Control over Networks

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Ángel Cuenca ◽  
Ricardo Pizá ◽  
Julián Salt ◽  
Antonio Sala
Keyword(s):  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Controller Design ◽  
Networked Control Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Test Bed ◽  
Control Techniques ◽  
Multirate Control ◽  
Theoretical Proposal

This paper faces two of the main drawbacks in networked control systems: bandwidth constraints and timevarying delays. The bandwidth limitations are solved by using multirate control techniques. The resultant multirate controller must ensure closed-loop stability in the presence of time-varying delays. Some stability conditions and a state feedback controller design are formulated in terms of linear matrix inequalities. The theoretical proposal is validated in two different experimental environments: a crane-based test-bed over Ethernet, and a maglev based platform over Profibus.

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