Distributed Control For Spatially Interconnected Systems

Because of high order number, large-scale control information and the restrictionof transmission signal, the traditional centralized control method for the large spatialsystem can hardly meet the design requirement. So the distributed control has becomeone of the hotspots recent years. In this paper the distributed control method ofspatially interconnected systems is considered.Based on the distributed control theory, two kinds of distributed control methodsof spatially interconnected system are studied according to information constraint: oneis taken the interconnect information between subsystems as subsystem disturbance todesign distributed controller that make the closed-loop system stable; the other isconsidered the interconnection between subsystems as the subsystem state to handlerobust controller design, all these two methods have good robust performance withdisturbances rejection.First, based on the distributed control principle and μ synthesis method, a controlstrategy combining the distributed control with μ synthesis method is developed.Taken a three stage tensegrity structure as example, the simplified subsystem model ofthe tandem interconnection system is proposed, then active vibration control strategycombining the distributed control with μ synthesis method is developed for controllingthe three stage tensegrity structure, the simulation results show that the designedcontroller makes the closed-loop system stable and can suppress disturbance. It notonly reduces the controller order number but also improve the disturbance responseand local control effect.Then, based on the LMI method of H control a new distributed control methodis developed. Taken the interconnect information between subsystems as part ofsubsystem states, then the robust controller that has the same structure with thesubsystem including interconnection is designed through LMI method, Control lawsare distributed and applied in typical one and two spatial dimension interconnectedsystem, the simulation results of numerical example show that this method is feasibleand can effectively restrain disturbance.