Analysis And Design For 2-D Discrete-time Systems With Network Communication Constraints

More and more systems and signals need to be characterized by multi-variables and multi-dimensions.Unlike the one-dimensional(1-D)system whose dynamic behaviors only evolve along one direction(the time axis),'two-dimensional(2-D)system has the characteristic of updating information along two(horizontal and vertical)dimensions.The characteristic of bidirectional evolution make the two-dimensional system successfully applied in the fields of batch process,vehicle queue control,iterative learning control and power grid sensor network modeling.The deep background of engineering physics makes the two-dimensional system theory become a branch of discipline with development prospect and strong vital-ity in the field of control systems.On the other hand,networked control system(NCS)has received extensive attentions from scholars.Compared with tradition-al control system,NCS has the benefits of high flexibility,ease of installment and maintainment,sharing of information resources.However,the network communi-cation constraints introduced by networks makes the analysis and synthesis more complicated and difficult.At present,the research on 1-D networked control sys-tems has achieved fruitful results.There are still many problems to be solved in 2-D systems.Therefore,How to solve the problem of analysis and design for 2-D discrete-time systems with network communication constraints is a significant research topic that has great theoretical and practical meanings.This thesis is concerned with the analysis and design of several kinds of 2-D sys-tems with network communication constraints.The addressed systems cover FM model and Roesser model.The communication constraints under consideration mainly include network-induced delay and event-triggered scheme.Furthermore,some concepts and methods are adopted to design 2-D controllers,such as 2-D network predictive control.2-D Ly apunov function,2-D event-triggered scheme under communication constraints.Attention of this thesis primarily focuses on 2-D delay compensation,event-triggered sliding mode control and event-triggered output-feedback control,therefore systematically building a framework of analysis and design for 2-D discrete-time systems.The work of this thesis is summarized as follows:(1)The predictive control problem of discrete-t,ime two-dimensional systems for FM model is studied.In this paper,the compensa.tion problem of network-induced delay is studied for the addressed system.Based on linear matrix in-equality and Lyapunov function,a new 2-D networked predictive control scheme is proposed to compensate the communication delay,ensure the stability of the system and achieve the expected system performance,thus improving the theo-retical framework of 2-D networked predictive control system.(2)The event-triggered sliding mode control for two-dimensional discrete-time systems is investigated.The horizontal and vertical sliding mode surface functions are constructed respectively for the systems combined with the event-triggered scheme.Secondly,a sufficient condition for the existence of the sliding mode surface function is established.Then,an event-triggered sliding mode controller is designed by using the Lyapunov function method,so that the state trajectory can be driven into a bounded region and always stays there.Finally,the validity of the result,s is verified by simulation.The main advantage is that the event-triggering based SMC strategy for 2-D systems is proposed by taking the particular 2-D system property into account,which enriches the content of event-triggering mechanism of 2-D system.(3)The event-triggered output feedback control for two-dimensional discrete-time systems is discussed.Firstly,the definition of dissipativit.y in 1-D system is firstly generalized to 2-D system.At present,the popular wa.y to deal with the ETC problem is to transform the predefined event-triggered condition into an inequality as a constraint,which leads to certain conservatism.In this paper,the rule of event triggering is established by combining the dynamic characteris-tics and dissipative characteristics of the 2-D system,and the instants of event triggering are also determined,which provides a reference for the analysis and solution of related problems.