Robust sliding control for mismatched uncertain fuzzy time-delay systems using linear matrix inequality approach

2013 ◽  
Vol 36 (5) ◽  
pp. 589-597 ◽  
Author(s):  
Sung-Chieh Liu ◽  
Sheng-Fuu Lin
Keyword(s):  
Time Delay ◽  
Linear Matrix Inequality ◽  
Delay Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Time Delay Systems ◽  
Sliding Control ◽  
Linear Matrix Inequality Approach

Guaranteed Cost Observer-Based Control for a Class of Uncertain Time-Delay Systems

2004 ◽  
Vol 127 (4) ◽  
pp. 723-728 ◽  
Author(s):  
Chang-Hua Lien ◽  
Yi-You Hou
Keyword(s):  
Time Delay ◽  
Upper Bound ◽  
Delay Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Time Delay Systems ◽  
Feedback Controls ◽  
Guaranteed Cost ◽  
Linear Matrix Inequality Approach ◽  
Uncertain Time

In this paper, the robust guaranteed cost observer-based controls for a class of uncertain time-delay systems are considered. The linear matrix inequality approach is used to design the feedback controls. Optimal guaranteed cost observer-based controls which minimize the upper bound of cost function are provided. A numerical example is given to illustrate our results.

scholarly journals Mixed H2/H∞ Control for Itô-type Stochastic Time-Delay Systems with Applications to Clothing Hanging Device

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Yan Qi ◽  
Min Zhang ◽  
Zhiguo Yan
Keyword(s):  
Time Delay ◽  
Performance Index ◽  
Closed Loop ◽  
Delay Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Time Delay Systems ◽  
Closed Loop Systems ◽  
Mean Square Stability ◽  
Stochastic Time

This paper deals with the problem of mixed H2/H∞ control for Itô-type stochastic time-delay systems. First, the H2/H∞ control problem for stochastic time-delay systems is presented, which considers the mean square stability, H2 control performance index, and the ability of disturbance attenuation of the closed-loop systems. Second, by choosing an appropriate Lyapunov–Krasoviskii functional and using matrix inequality technique, some sufficient conditions for the existence of state feedback H2/H∞ controller for stochastic time-delay systems are obtained in the form of linear matrix inequalities. Third, two convex optimization problems with linear matrix inequality constraints are formulated to design the optimal mixed H2/H∞ controller which minimizes the guaranteed cost of the closed-loop systems with known and unknown initial functions, and the corresponding algorithm is given to optimize H2/H∞ performance index. Finally, a numerical example is employed to show the effectiveness and feasibility of the proposed method.

scholarly journals Delay-Dependent Stability of Uncertain Distributed Time-Delay Systems

2012 ◽  
Vol 6-7 ◽  
pp. 45-48
Author(s):  
Cheng Wang ◽  
Qing Zhang ◽  
Jian Ping Gan
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Time Delay Systems ◽  
Parameter Uncertainties ◽  
Distributed Time Delay ◽  
Delay Dependent ◽  
Delay Dependent Stability

In this paper, the problem of stability analysis of uncertain distributed time-delay systems is investigated. Systems with norm-bounded parameter uncertainties are considered. By taking suitable Lyapunov-Krasovskii functional and free weighting matrices, a delay-dependent sufficient condition is derived in terms of linear matrix inequality (LMI). The condition obtained in this paper can be tested numerically very efficiently using interior point algorithms.

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