New H∞ control design for polytopic systems with mixed time-varying delays in state and input
Hien, Le Van, Tran, Trung Dinh and Trinh, Hieu Minh 2015, New H∞ control design for polytopic systems with mixed time-varying delays in state and input, International journal of innovative computing, information and control, vol. 11, no. 1, pp. 105-121.
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Title
New H∞ control design for polytopic systems with mixed time-varying delays in state and input
This paper concerns with the problem of state-feedback H∞ control design for a class of linear systems with polytopic uncertainties and mixed time-varying delays in state and input. Our approach can be described as follows. We first construct a state-feedback controller based on the idea of parameter-dependent controller design. By constructing a new parameter-dependent Lyapunov-Krasovskii functional (LKF), we then derive new delay-dependent conditions in terms of linear matrix inequalities ensuring the exponential stability of the corresponding closed-loop system with a H∞ disturbance attenuation level. The effectiveness and applicability of the obtained results are demonstrated by practical examples.
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eng
Field of Research
010203 Calculus of Variations, Systems Theory and Control Theory 010204 Dynamical Systems in Applications 090602 Control Systems, Robotics and Automation
Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.