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State-dependent switching control of switched positive fractional-order systems
Xudong Zhao1, Yunfei Yin2, Xiaolong Zheng2
1College of Engineering, Bohai University, Jinzhou, Liaoning 121013, China; Chongqing SANY High-Intelligent Robots Co., Ltd., Chongqing 401120, China.
Abstract:
In this paper, the problem of switching stabilization for a class of continuous-time switched positive fractional-order systems is studied by using state-dependent switching. First, the asymptotic stability condition of switched positive fractional-order systems with state-dependent switching is given, which is based on the fractional co-positive Lyapunov method. Moreover, by the sliding sector method, the stability condition of switched positive fractional-order systems whose subsystems are possibly all unstable is obtained. A variable structure (VS) switching law with sliding sector is also proposed to guarantee the switched positive fractional-order system to be asymptotically stable. Finally, two numerical examples are given to demonstrate the advantages and effectiveness of our developed results.
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