1. Optimal Guaranteed Cost Control of a Class of Discrete-Time Nonlinear Systems with Markovian Switching and Mode-Dependent Mixed Time Delays.
- Author
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Yurong Liu, Karimi, Hamid Reza, and Xiaohui Liu
- Subjects
- *
COST control , *DISCRETE-time systems , *NONLINEAR systems , *MARKOV processes , *TIME delay systems , *PARAMETERS (Statistics) , *COMPUTER simulation - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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