Delay-Dependent H∞ Control for Descriptor Markovian Jump Systems with Time-Varying Delay
This paper is concerned with the delay-dependent H∞ control problem for continuous-time descriptor Markovian jump systems with time-varying delay. By constructing various Lyapunov-Krasovskii functionals for different subsystems, together with delay decomposition method, a new delay-dependent bounded...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/545636 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This paper is concerned with the delay-dependent H∞ control problem for continuous-time descriptor
Markovian jump systems with time-varying delay. By constructing various Lyapunov-Krasovskii
functionals for different subsystems, together with delay decomposition method, a new delay-dependent
bounded real lemma (BRL) is derived, under which descriptor Markovian jump time-delay systems are
regular, impulse-free, and stochastically stable and satisfy a prescribed H∞ performance level. Since the
reciprocally convex combination approach is adopted to estimate the upper bound of the integral terms, the BRL obtained in this paper is less conservative than some existing ones. Based on the proposed
BRL, a sufficient condition for the existence of state feedback controller is provided. Finally, three numerical examples are provided to demonstrate the validity of the proposed methods. |
|---|---|
| ISSN: | 1110-757X 1687-0042 |