Saturation Constraints And Networked Control For Delta Operator Systems

The research of delta operator system is one of the hot research topics in the control field.At present,there are still some technical difficulties that need to be solved urgently for delta operator systems.For example,there are few researches on delta operator system with saturation constraints.Furthermore,with the development of networked control,the research on delta operator system with complex network environments has also attracted much attentions.Therefore,research on delta operator system with saturation constraints and complex network environments is more challenging.In this paper,networked control for delta operator system subject to saturation constraints is considered.The main contents of this paper are given as follows:First,the problem on stability analysis for linear delta operator system subject to state saturation has been researched.Both full state saturation and partial state saturation are investigated.The saturated constrained nonlinear items have been trasformed into a series of linear controls on the convex hull.Then,two equivalent necessary and sufficient conditions are identified such that the system with full state saturation is globally asymptotically stable.A new globally asymptotically stable condition is also proposed for the partial state saturation system.Second,output regulation for delta operator system subject to actuator saturation is investigated.According to a null controllable region of a new system,the asymptotically regulatable region for an anti-stable subsystem is given.The relation between the regulatable regions and the null controllable region is described in this paper.The asymptotically regulatable region for the exosystem and the delta operator system is given.State feedback output regulation controllers are constructed to achieve internal stability and output regulation.Third,the output regulation for a decentralized delta operator system under jamming attacks and actuator saturation is investigated.A jammer's optimal power allocation strategy is derived aiming at degrading SINR.The relation between the optimal attack strategy and the attack-induced packets dropout,then the asymptotically regulatable region is described for the decentralized delta operator system.Fourth,a self-triggered sampling problem is given for a delta operator system under DoS.A self-triggered scheme is proposed to actively defend the DoS attacks and reduce unnecessary data communications.A predictive agent is designed to predicted the next transmit instant.Furthermore,a sufficient condition in view of LMIs is derived for stability of the delta operator system under DoS attacks.Finaly,a self-triggered sampling approch is proposed for a delta operator system with delays and packets dropout.A self-triggered scheme is proposed based on the QoS.Sampling periods are given based on a probability of successful transmission for packets.The system is described as a switched delta operator system.Sufficient conditions of stability for the delta operator system are given with average dwell time in terms of LMIs.