This article investigates the consensus problem for heterogeneous multi-agent systems (MASs) subject to nonlinear disturbance. A distributed fixed-time observer is considered for each follower. The proposed observer does not need any follower to become a neighbor of the leader. An improved distributed fixed-time observer is further proposed to avoid the situation in which the leader system information is unknown. This improved distributed fixed-time observer considers the output estimation errors of itself and its neighbors concurrently. Then, the consensus tracking protocols are designed to compensate for the error between leader and follower. Finally, the effectiveness of the proposed dynamic control strategy is validated by a numerical example and further application to wireless power transfer gird.
This article investigates the control problem for the wireless power transfer (WPT) system, which has the characteristics of nonlinearity, high order, and associativity. Initially, a dynamic output feedback controller based on the WPT system is designed and analyzed. This controller can effectively enhance the stability of the system with stochastic disturbance. Besides, it does not need the knowledge of the system state in detail and has more adjustable parameters. Further, based on the Lyapunov theorem and stochastic stability theorem, a new stability result of the WPT with DOFC is obtained. In the stability results, all the variables in the system are still preserved after inequality expansion and contraction. Finally, the simulation results expound the effectiveness of the designed control scheme.
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