Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 10, Issue 3, Pages 328-338Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2014.1148
Keywords
delay systems; uncertain systems; asymptotic stability; H control; robust control; linear matrix inequalities; actuators; convex programming; state feedback; memory state feedback control; uncertain singular time-delay systems; saturating actuators; delay-dependent H robust exponential stability; memory state feedback stabilisation; delay-dependent linear matrix inequality condition; actuator saturation; integral inequality; free-weighting matrices; stability region estimation; convex optimisation problem
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Funding
- National Natural Science Foundation of China [61273004]
- Natural Science Foundation of Hebei province [F2014203085]
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This study is concerned with delay-dependent H robust exponential stability and memory state feedback stabilisation of singular time-delay systems with saturating actuators. First, a delay-dependent linear matrix inequality condition is obtained, which guarantees that the uncertain singular time-delay systems subject to actuator saturation are not only robustly exponential admissible, but also satisfy H performance via a tighter integral inequality and the method of free-weighting matrices. Then, using the conditions, the estimation of stability region and the controller with memory state feedback are given by solving a convex optimisation problem. Finally, some numerical examples are provided to demonstrate the merit of the obtained results.
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