Reliable guaranteed cost control for linear state delayed systems with adaptive memory state feedback controllers

2008 ◽  
Vol 10 (6) ◽  
pp. 678-686 ◽  
Author(s):  
Dan Ye ◽  
Guang-Hong Yang
Keyword(s):  
State Feedback ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Adaptive Memory ◽  
Feedback Controllers ◽  
Memory State ◽  
Delayed Systems ◽  
Guaranteed Cost ◽  
Linear State ◽  
Memory State Feedback

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.

scholarly journals Optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems described by the Roesser model via memory state feedback

2018 ◽  
Vol 41 (1) ◽  
pp. 285-294
Author(s):  
Akshata Tandon ◽  
Amit Dhawan ◽  
Manish Tiwari
Keyword(s):  
Cost Function ◽  
Upper Bound ◽  
State Feedback ◽  
Closed Loop ◽  
Roesser Model ◽  
Memory State ◽  
Delayed Systems ◽  
Discrete State ◽  
Guaranteed Cost ◽  
Memory State Feedback

This paper is concerned with the problem of optimal guaranteed cost control via memory state feedback for a class of uncertain two-dimensional (2-D) discrete state-delayed systems described by the Roesser model with norm-bounded uncertainties. A linear matrix inequality (LMI)-based sufficient condition for the existence of memory state feedback guaranteed cost controllers is established and a parameterized representation of such controllers (if they exist) is given in terms of feasible solutions to a certain LMI. Furthermore, a convex optimization problem with LMI constraints is formulated to select the optimal guaranteed cost controllers that minimize the upper bound of the closed-loop cost function. The proposed method yields better results in terms of least upper bound of the closed-loop cost function as compared with a previously reported result.

scholarly journals Nonfragile Guaranteed Cost Control and Optimization for Interconnected Systems of Neutral Type

2013 ◽  
Vol 2013 ◽  
pp. 1-15
Author(s):  
Heli Hu ◽  
Dan Zhao ◽  
Qingling Zhang
Keyword(s):  
State Feedback ◽  
Cost Control ◽  
Optimization Problems ◽  
Neutral Type ◽  
Guaranteed Cost Control ◽  
State Feedback Control ◽  
Interconnected Systems ◽  
Time Varying ◽  
Design And Optimization ◽  
Guaranteed Cost

The design and optimization problems of the nonfragile guaranteed cost control are investigated for a class of interconnected systems of neutral type. A novel scheme, viewing the interconnections with time-varying delays as effective information but not disturbances, is developed to decrease the conservatism. Many techniques on decomposing and magnifying the matrices are utilized to obtain the guaranteed cost of the considered system. Also, an algorithm is proposed to solve the nonlinear problem of the interconnected matrices. Based on this algorithm, the minimization of the guaranteed cost of the considered system is obtained by optimization. Further, the state feedback control is extended to the case in which the underlying system is dependent on uncertain parameters. Finally, two numerical examples are given to illustrate the proposed method, and some comparisons are made to show the advantages of the schemes of dealing with the interconnections.

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