Resilient Guaranteed Cost Control for Singular Systems with Time-Varying Interval Delay

2013 ◽  
Vol 380-384 ◽  
pp. 3442-3445
Author(s):  
You Gang Zhang ◽  
Rui Li
Keyword(s):  
Cost Control ◽  
Singular Systems ◽  
Guaranteed Cost Control ◽  
Feasibility Problem ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Guaranteed Cost ◽  
Varying Time Delay ◽  
Interval Systems

The problem of resilient guaranteed cost control for a class of singular interval systems with time varying time-delay was investigated. A condition for the existence of resilient guaranteed cost controller is derived via linear matrix inequalities (LMI) technology. Furthermore, it is shown that this condition is equivalent to the feasibility problem of a set of LMIs, and its solutions provide a parameterized representation of resilient guaranteed cost controllers. Finally, a numerical example is given to show the effectiveness of it.

Non-Fragile Guaranteed Cost Control for a Class of Uncertain Time-Delay Switched Singular Systems

2013 ◽  
Vol 380-384 ◽  
pp. 639-647
Author(s):  
Yue Sheng Luo ◽  
Man Xu ◽  
Shi Lei Zhang ◽  
Tong Li ◽  
Chun Fang Liu
Keyword(s):  
Time Delay ◽  
Cost Control ◽  
Singular Systems ◽  
Singular System ◽  
Guaranteed Cost Control ◽  
Feasibility Problem ◽  
Linear Matrix ◽  
Cost Index ◽  
Guaranteed Cost ◽  
Uncertain Time

The problem of robustly non-fragile guaranteed cost control for a class of uncertain time-delay switched singular systems under arbitrary switching laws is considered. By means of matrix equivalent transformation and the relationship between the norm and the matrix, based on linear matrix inequality tools, a sufficient condition on the existence of non-fragile guaranteed cost state feedback controllers is derived, which ensures that uncertain time-delay switched singular system is admissible, and a corresponding cost index can be guaranteed. The design problem of the non-fragile guaranteed cost controller can be turned into the feasibility problem of a set of linear matrix inequalities. Finally, an illustrative example is given to demonstrate the effectiveness of proposed method.

RobustH∞guaranteed cost control for discrete-time switched singular systems with time-varying delay

2018 ◽  
Vol 40 (1) ◽  
pp. 119-140 ◽  
Author(s):  
Mohamed Amin Regaieg ◽  
Mourad Kchaou ◽  
Ahmed El Hajjaji ◽  
Mohamed Chaabane
Keyword(s):  
Discrete Time ◽  
Cost Control ◽  
Singular Systems ◽  
Guaranteed Cost Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Guaranteed Cost ◽  
Varying Delay

scholarly journals Stochastic Finite-Time Guaranteed Cost Control of Markovian Jumping Singular Systems

2011 ◽  
Vol 2011 ◽  
pp. 1-20 ◽  
Author(s):  
Yingqi Zhang ◽  
Caixia Liu ◽  
Xiaowu Mu
Keyword(s):  
Finite Time ◽  
Cost Control ◽  
Transition Probabilities ◽  
Singular Systems ◽  
Singular System ◽  
Sufficient Conditions ◽  
Guaranteed Cost Control ◽  
Linear Matrix ◽  
Markovian Jumping ◽  
Guaranteed Cost

The problem of stochastic finite-time guaranteed cost control is investigated for Markovian jumping singular systems with uncertain transition probabilities, parametric uncertainties, and time-varying norm-bounded disturbance. Firstly, the definitions of stochastic singular finite-time stability, stochastic singular finite-time boundedness, and stochastic singular finite-time guaranteed cost control are presented. Then, sufficient conditions on stochastic singular finite-time guaranteed cost control are obtained for the family of stochastic singular systems. Designed algorithms for the state feedback controller are provided to guarantee that the underlying stochastic singular system is stochastic singular finite-time guaranteed cost control in terms of restricted linear matrix equalities with a fixed parameter. Finally, numerical examples are given to show the validity of the proposed scheme.

Robust non-fragile guaranteed cost control for singular Markovian jump time-delay systems

2017 ◽  
Vol 40 (7) ◽  
pp. 2141-2150 ◽  
Author(s):  
Guobao Liu ◽  
Yunliang Wei ◽  
Qian Ma ◽  
Junwei Lu ◽  
Yuming Chu
Keyword(s):  
Cost Control ◽  
Guaranteed Cost Control ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Markovian Jump ◽  
Parameter Uncertainties ◽  
State Matrix ◽  
Singular Markovian Jump Systems ◽  
Guaranteed Cost

This paper deals with the problem of robust non-fragile guaranteed cost control for a class of uncertain singular Markovian jump systems with time-varying delays. The time-varying and norm-bounded parameter uncertainties exist in both the state matrix and the derivative matrix. A non-fragile proportional-derivative state feedback controller is designed to guarantee the closed-loop singular Markovian jump system is normal and robustly stochastically stable. By proposing an optimization strategy in the framework of linear matrix inequalities, the upper bound of the cost function can be minimized. Finally, a numerical example is given to demonstrate the effectiveness of the results.

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