Guaranteed cost control for discrete-time Markovian jump linear system with mode-dependent time-delays

2004 ◽  
Author(s):  
E.K. Boukas ◽  
Z.K. Liu
Keyword(s):  
Linear System ◽  
Discrete Time ◽  
Time Delays ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Markovian Jump ◽  
Guaranteed Cost

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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