Observer-based stabilizing control for fractional-order systems with input delay
Wen-Tao Geng1, Chong Lin1, Bing Chen1
1Institute of Complexity Science, College of Automation, Qingdao University, Qingdao 266071, China.
Abstract:
This paper studies the stabilization via observer-based feedback control for fractional-order systems with input delay. Firstly, the system is transformed into an input-delay-free system by using Smith predictor. Then a necessary and sufficient condition for observer-based controller design is presented, based on linear matrix inequalities (LMIs). While, implementation problem of the controller is provided. Finally, a numerical example and a fractional inverted pendulum system example are given to illustrate the effectiveness of the design method.
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