Finite-time Stability Analysis And Synthesis For The Networked Control Systems

Network has become a medium of transmission of signals in the control systems with its incomparable advantages,each instrument of the control systems is connected together through the real-time shared network,thus,the networked control system(NCSs)is formed.The past few decades have witnessed the rapid development of NCSs in various fields,such as telernedicine,aerospace,industrial automation,robotic system and so on.The advantages of NCSs include the installation of low cost,easy maintenance,high system flexibility and realiz-ing resources sharing etc.However,due to the complexity of the network environment,experts and scholars will usher in a series of new issues that must be solved.Furthermore,quantzier has become an indispensable part of the NCSs due to the bandwidth constraints.Therefore,the study of quantizer has become the multitudinous research emphasis of scientific research.In addition,traditional Lyapunouv stability which describe the dynamic behavior of the track of the system in an infinite-time interval,but,finite-time stability focus on reflecting the behavior of the states of systems in a short time.Thus,the problem of finite-time control and analysis for systems has been the focus.On the basis of above research background,in this thesis,we aim at tackling the problem of the finite-time boundedness and the related performance analysis for discrete-time stochastic systems under the environment of the network which contains the problems of network time-delay and randomly quantized measurements.The main results are as follows:1.The problem of finite-time bounded control for a class of discrete-time stochastic non-linear systems with randomly quantized measurements is investigated.For the unreliable net-work,applying two stochastic variables which satisfy the Bernoulli random binary distribution to model the stochastic nonlinear and randomly quantization.Observer-based controller is de-signed,then by employing the Lyapunov method,a sufficient condition which guarantees that the augment error system is finite-time bounded is established.Based on the LMIs,we can get the gains of the observer and controller.Simulation result is used to illustrate the availability of the method.2.The issue of finite-time boundedness and dissipativity analysis for discrete-time stochas-tic nonlinear system with mixed time-delay and randomly quantized measurements is studied.Bernoulli random binary distribution is adopted to describe the unreliable network environmen-t namely stochastic nonlinear and randomly quantized measurements.Constructing the less conservative Lyapunov function,sufficient conditions which guarantee that the system is finite-time bounded and strictly finite-time(Q,S,R.)-? dissipative is acquired.And simulation of the example shows that this method has a good effect.3.The case of finite-time boundedness and passivity analysis for discrete-time Marko-vian systems with the mixed time-delay and stochastic nonlinear is addressed.By constructing the Lyapunov function,sufficient conditions which guarantees that system is finite-time bound-ed and achieves the passive performance is obtained which in the case of the mode transition probabilities of the system is partly unknown,and the results are express by the form of LMIs.Simulation result is adopted to demonstrate the effectiveness of the proposed theoretical results.