Finite-Time Non-fragile Guaranteed Cost Control of Uncertain Time-Delayed Lipschitz Nonlinear System Via Observer-Based State Feedback

2019 ◽  
Author(s):  
Longfang Li ◽  
Chengcheng Ren ◽  
Heng Zhang ◽  
Shuping He
Keyword(s):  
Nonlinear System ◽  
Finite Time ◽  
State Feedback ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Guaranteed Cost ◽  
Uncertain Time

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.

OPTIMAL GUARANTEED COST CONTROL OF UNCERTAIN STOCHASTIC COMPLEX DELAYED DYNAMICAL NETWORKS

2010 ◽  
Vol 10 (04) ◽  
pp. 577-590 ◽  
Author(s):  
SHUKAI LI ◽  
WANSHENG TANG ◽  
JIANXIONG ZHANG
Keyword(s):  
Complex Networks ◽  
State Feedback ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Linear Matrix ◽  
Feedback Controllers ◽  
Control Laws ◽  
Guaranteed Cost ◽  
Stochastic Complex Networks ◽  
Delayed Dynamical Networks

This paper investigates the optimal guaranteed cost control of synchronization for uncertain stochastic complex networks with time-varying delays. The aim is to design state-feedback controllers such that the complex networks are globally asymptotical mean-square synchronization, and meanwhile the optimal upper bound of cost function is guaranteed. Based on Lyapunov–Krasovskii stability theory and Itô differential rule, sufficient condition for the existence of the optimal guaranteed cost control laws is given in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed method.

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