Nonfragile Guaranteed Cost Control of Discrete-Time Fuzzy Bilinear System With Time-Delay

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
Guo Zhang ◽  
Jun-Min Li ◽  
Yun-Wang Ge
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Closed Loop ◽  
Cost Control ◽  
Sufficient Conditions ◽  
Bilinear System ◽  
Guaranteed Cost Control ◽  
Controller Gain ◽  
Guaranteed Cost ◽  
Compensation Approach

This paper focuses on the problem of nonfragile guaranteed cost control for a class of T-S discrete-time fuzzy bilinear systems (DFBS) with time-delay in both states and inputs. Based on the parallel distributed compensation approach, the sufficient conditions are derived such that the closed-loop system is asymptotically stable and the closed-loop performance is no more than a certain upper bound in the presence of the additive controller gain perturbations.

scholarly journals Optimal Guaranteed Cost Control of a Class of Discrete-Time Nonlinear Systems with Markovian Switching and Mode-Dependent Mixed Time Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Yurong Liu ◽  
Hamid Reza Karimi ◽  
Xiaohui Liu
Keyword(s):  
Cost Function ◽  
Discrete Time ◽  
Time Delays ◽  
Cost Control ◽  
Infinite Horizon ◽  
Sufficient Conditions ◽  
Guaranteed Cost Control ◽  
Optimization Approach ◽  
Mixed Time Delays ◽  
Guaranteed Cost

The guaranteed cost control problem is investigated for a class of nonlinear discrete-time systems with Markovian jumping parameters and mixed time delays. The mixed time delays involved consist of both the mode-dependent discrete delay and the distributed delay with mode-dependent lower bound. The associated cost function is of a quadratic summation form over the infinite horizon. The nonlinear functions are assumed to satisfy sector-bounded conditions. By introducing new Lyapunov-Krasovskii functionals and developing some new analysis techniques, sufficient conditions for the existence of guaranteed cost controllers are derived with respect to the given cost function. Moreover, a convex optimization approach is applied to search for the optimal guaranteed cost controller by minimizing the guaranteed cost of the closed-loop system. Numerical simulation is further carried out to demonstrate the effectiveness of the proposed methods.

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