Theoretical analysis of consensus for networked multi-agent systems with switching topologies was conducted.Supposing that information-exchange topologies of networked system are dynamic,a modified linear protocol is proffered which is more practical than existing ones.The definition of trajectory consensus is given and a new consensus protocol is exhibited such that multi-agent system achieves trajectory consensus.In addition,a formation control strategy is designed.A common Lyapunov function is proposed to analyze the consensus convergence of networked multi-agent systems with switching topologies.Simulations are provided to demonstrate the effectiveness of the theoretical results.
Consensus tracking control problems for single-integrator dynamics of multi-agent systems with switching topology are investigated.In order to design effective consensus tracking protocols for a more general class of networks,which are aimed at ensuring that the concerned states of agents converge to a constant or time-varying reference state,new consensus tracking protocols with a constant and time-varying reference state are proposed,respectively.Particularly,by contrast with spanning tree,an improved condition of switching interaction topology is presented.And then,convergence analysis of two consensus tracking protocols is provided by Lyapunov stability theory.Moreover,consensus tracking protocol with a time-varying reference state is extended to achieve the formation control.By introducing formation structure set,each agent can gain its individual desired trajectory.Finally,several simulations are worked out to illustrate the effectiveness of theoretical results.The test results show that the states of agents can converge to a desired constant or time-varying reference state.In addition,by selecting appropriate structure set,agents can maintain the expected formation under random switching interaction topologies.
Chaos synchronization of systems with perturbations was investigated.A generic nonlinear control scheme to realize chaos synchronization of systems was proposed.This control scheme is flexible and practicable,and gives more freedom in designing controllers in order to achieve some desired performance.With the aid of Lyapunov stability theorem and partial stability theory,two cases were presented:1) Chaos synchronization of the system without perturbation or with vanishing perturbations;2) The boundness of the error state for the system with nonvanishing perturbations satisfying some conditions.Finally,several simulations for Lorenz system were provided to verify the effectiveness and feasibility of our method.Compared numerically with the existing results of linear feedback control scheme,the results are sharper than the existing ones.
In this paper, permanent magnet synchronous motors(PMSMs) are investigated. According to the feature of PMSMs, a novel state equation of PMSMs is obtained by choosing suitable state variables. Based on the state equation, robust controllers are designed via interval matrix and PI control idea.In terms of bilinear matrix inequations, sufficient conditions for the existence of the robust controller are derived. In order to reduce the conservation and the dependence on parameter,the control inputs of PMSMs are divided into two parts, a feedforward control input and a feedback control input, and relevant sufficient conditions for the existence of the controller are obtained. Because of the suitable choice of state variables, the proposed control strategies can cope with the load uncertainty and have robustness for disturbance. Finally, simulations are carried out via Matlab/Simulink soft to verify the effectiveness of the proposed control strategies. The performance of the proposed control strategies are demonstrated by the simulation results.
