Abstract
This paper investigates the problems of stability and decentralized control for a class of interconnected fractional-order systems. Firstly, model of the interconnected fractional-order system is established. In the meantime, a decentralized periodic intermittent control technique based on partial variables of the system is developed, and the time cost in the control process and the control cost can be saved by this technique. Secondly, stability criteria by using stability theory of fractional-order systems are derived, respectively. Related results can also be used for estimating regions of stability and applied to practical systems such as the power system, the wireless power transfer(WPT) system and the brushless DC motors (BLDCM) system. Besides, in order to reduce the conservatism of the results, the relevant inequality technique is introduced during the derivation process. At last, illustrative examples are given to demonstrate effectiveness of the obtained results. Compared with existing literatures, simulation results indicate that the conservatism of the results is decreased obviously, and the proposed control scheme can indeed save the time cost and the control cost.
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