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.

An LMI Approach to Guaranteed Cost Control of Networked Control Systems with Nonlinear Perturbation

2011 ◽  
Vol 480-481 ◽  
pp. 1352-1357
Author(s):  
Nan Xie ◽  
Bin Xia
Keyword(s):  
State Feedback ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Networked Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Quadratic Cost ◽  
Guaranteed Cost ◽  
Cone Complementarity Linearization

This paper is concerned with the problem of state-feedback guaranteed cost controller design for uncertain networked systems with both network-induces delay and data dropout taken into consideration. The sufficient condition for the existence of the networked guaranteed quadratic cost controller is obtained in terms of matrix inequalities, and the controller design method is deduced in terms of linear matrix inequalities. Furthermore, the suboptimal networked guaranteed cost controller design method is obtained with cone complementarity linearization algorithm. A numerical example is given to illustrate the proposed method.

Non-Fragile Decentralized Control for the Uncertain Singular Large-Scale Systems with Time-Delay

2011 ◽  
Vol 317-319 ◽  
pp. 2204-2207
Author(s):  
Dong Mei Yang ◽  
Qing Sun
Keyword(s):  
Time Delay ◽  
Linear Matrix Inequalities ◽  
Decentralized Control ◽  
Large Scale ◽  
Controller Design ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequalities ◽  
Large Scale Systems ◽  
System With Time Delay

This paper is concerned with the non-fragile decentralized controller design problem for uncertain singular large-scale system with time-delay. Sufficient condition for the controller is expressed in terms of linear matrix inequalities(LMIs). When this condition is feasible, the desired controller can be obtained with additive gain perturbations and multiplicative gain perturbations. Finally, a numerical example is also given to illustrate the effectiveness.

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).

H-Infinity Robust Control Methodology of Multi-Variable NCSs

2010 ◽  
Vol 97-101 ◽  
pp. 2373-2376
Author(s):  
Li Sheng Wei ◽  
Ming Jiang ◽  
Qi Gong Chen ◽  
Min Rui Fei
Keyword(s):  
Control Systems ◽  
Controller Design ◽  
Networked Control Systems ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Robust Controller ◽  
H Infinity ◽  
Control Methodology ◽  
Robust Controller Design

This note investigates H-infinity robust controller design for uncertain multi-variable networked control systems with disturbance. The complete mathematical model is derived. And the sufficient condition for asymptotical stability is analyzed by using 2nd Lyapunov stability theory combined with free-weighting matrices techniques. The existence of such a controller is given in terms of the solvability of linear matrix inequalities. The efficacy and feasibility of the proposed methods is shown by presenting simulation results.

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