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Robust H(∞) control for a class of 2-D discrete delayed systems.
Shuxia Ye1, Jianzhen Li1, Juan Yao2
1School of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003, PR China.
ISA Transactions
|January 14, 2014
Summary
This study designs robust H∞ controllers for 2-D discrete uncertain systems with time delays. The proposed method ensures system stability and H∞ performance, offering delay-dependent solutions via linear matrix inequalities.
Area of Science:
- Control Theory
- Systems Engineering
- Applied Mathematics
Background:
- 2-D discrete uncertain systems are prevalent in various applications.
- Time delays and perturbations introduce significant control challenges.
- Robust H∞ control aims to guarantee stability and performance despite uncertainties.
Purpose of the Study:
- Design robust H∞ controllers for 2-D discrete uncertain systems with delayed perturbations.
- Ensure closed-loop stability and a prescribed H∞ performance level.
- Develop delay-dependent control solutions.
Main Methods:
- Utilizing the Lyapunov method for stability analysis.
- Applying state feedback for controller design.
- Formulating results in terms of linear matrix inequalities (LMIs).
Main Results:
- Guaranteed stability for the closed-loop system under delayed perturbations.
- Achieved prescribed H∞ performance levels.
- Delay-dependent H∞ controllers were successfully derived.
Conclusions:
- The proposed Lyapunov-based method effectively designs robust H∞ controllers.
- LMIs provide a computationally tractable approach for controller synthesis.
- Numerical examples validate the effectiveness of the delay-dependent control strategy.
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