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控制理论与应用 2013
Reliable D-stabilization for time-delay systems of Delta operator
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Abstract:
The robust reliable D-stabilization for linear uncertain time-delay systems of delta operator is studied. Based on matrix theory, a sufficient condition of D-stability for the uncertain time-delay system of delta operator is derived based on the linear matrix inequality (LMI) approach. A design method for the state-feedback robust reliable controller is developed for a class of uncertain time-delay systems of delta operator, which are with actuator failure and sensor failure. Using the controller, the poles of the closed-loop time-delay system of delta operator are displaced inside a specified disk on the complex plane for all admissible uncertainties and faults. A numerical example is provided to demonstrate the availability of the design method.