Optimal Guaranteed Cost Control of a Class of Discrete-Time Nonlinear Systems with Markovian Switching and Mode-Dependent Mixed Time Delays
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. Th...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/653628 |
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| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |