scholarly journals Non-Fragile Guaranteed Cost Control of Nonlinear Systems with Different State and Input Delays Based on T-S Fuzzy Local Bilinear Models

2017 ◽  
Author(s):  
Junmin Li ◽  
Jinsha Li ◽  
Ruirui Duan
Keyword(s):  
Nonlinear Systems ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Bilinear Models ◽  
Guaranteed Cost ◽  
State And Input Delays ◽  
Input Delays

An LMI approach to non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete systems with both state and input delays

2016 ◽  
Vol 40 (3) ◽  
pp. 785-804 ◽  
Author(s):  
Akshata Tandon ◽  
Amit Dhawan
Keyword(s):  
Cost Control ◽  
Discrete Systems ◽  
Guaranteed Cost Control ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Parameter Uncertainties ◽  
Convex Optimization Problem ◽  
Guaranteed Cost ◽  
State And Input Delays ◽  
Input Delays

In this paper, we present a solution to the problem of non-fragile robust optimal guaranteed cost control for a class of uncertain two-dimensional(2-D) discrete systems described by the general model (GM) subject to both state and input delays. The parameter uncertainties are assumed norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of non-fragile robust guaranteed cost controller is established. Furthermore, a convex optimization problem with LMI constraints is proposed to select a non-fragile robust optimal guaranteed cost controller stabilizing the uncertain 2-D discrete system with both state and input delays as well as achieving the least guaranteed cost for the resulting closed-loop system. The effectiveness of the proposed method is demonstrated with an illustrative example.

Delay-dependent guaranteed cost control for uncertain systems with both state and input delays

2004 ◽  
Vol 2 (4) ◽  
pp. 339-344
Author(s):  
Xuanfang Yang ◽  
Wuhua Chen ◽  
Huajing Fang
Keyword(s):  
Uncertain Systems ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Guaranteed Cost ◽  
State And Input Delays ◽  
Input Delays ◽  
Delay Dependent

Comments on ‘An LMI approach to non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete systems with both state and input delays’

2017 ◽  
Vol 40 (13) ◽  
pp. 3846-3850 ◽  
Author(s):  
Neha Agarwal ◽  
Haranath Kar
Keyword(s):  
Closed Loop ◽  
Cost Control ◽  
Initial Conditions ◽  
Discrete Systems ◽  
Guaranteed Cost Control ◽  
Lmi Approach ◽  
Technical Errors ◽  
Guaranteed Cost ◽  
State And Input Delays ◽  
Input Delays

This paper points out some technical errors in a recent paper that appeared in Transactions of the Institute of Measurement and Control entitled ‘An LMI approach to non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete systems with both state and input delays’ by Akshata Tandon and Amit Dhawan ( http://dx.doi.org/10.1177/0142331216667476 ). We reveal that the upper bound of the closed-loop cost function provided by their Lemma 4 is erroneous. Some critical issues associated with the system initial conditions assumed in their paper are highlighted. The closed-loop cost bound claimed by their Theorem 1 is found to be incorrect. The optimization problem formulated in their Theorem 2 for the selection of an optimal guaranteed cost controller is erroneous. Finally, the corrections over their results are made available.

Robust Guaranteed Cost Control of Uncertain Linear Time-Delay Systems with Mixed State and Input Delays

1997 ◽  
Vol 30 (16) ◽  
pp. 195-200
Author(s):  
Huaizhong Li ◽  
Silviu-iulian Niculescu ◽  
Luc Dugard ◽  
Jean-michel Dion
Keyword(s):  
Time Delay ◽  
Mixed State ◽  
Cost Control ◽  
Linear Time ◽  
Guaranteed Cost Control ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Guaranteed Cost ◽  
State And Input Delays ◽  
Input Delays
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