Research On Quantitative Feedback And Event-Triggering Control Of Networked Control Systems

Network control systems(NCSs)are the product combining computer network technology and control theory,which are the closed-loop control systems connecting the sensor,the controller and the actuator through the shared network channel,and achieve information transmission and exchange.NCSs have the advantages of low cost,easy maintenance,easy expansion and high flexibility,which are widely used in aerospace,industrial control,aircraft design and other fields,and so far,network control systems have become a hot research direction.Due to the introduction of the network,NCSs will unavoidably encounter network-induced delay,data packet loss,network bandwidth constraints and other problems.What's more,for some signals are not easy to be encoded,NCSs need to introduce quantizer and unavoidably introduce the influence of quantized error.These problems will reduce the performance of the system,so the research on quantitative control theory of NCSs has great significance.Considering the influence of network-induced delay,data packet loss,quantization and event-triggering mechanism,the quantized controller is designed for NCSs and simulation research is carried out.In this paper,the main work content is as follows:(1)Considering the influence of network-induced delay,the logarithmic quantizer is used to quantize the state signal and the control signal and the influence of the quantized error is transformed into the uncertainty under the sector,and then quantized controller and H? quantized controller are designed.By constructing the Lyapunov function,the sufficient conditions that the system is asymptotically and have H? performance level y can be obtained by linear matrix inequality(LMI).Finally,the numerical is given to illustrate the effectiveness.(2)Considering the influence of quantization and network-induced delay on the system,the Markov chain with partially unknown transition is used to describe the random variation of data packet loss and NCSs are modeled as Markov jump system,and then quantized controller and H? quantized controller are designed.By constructing the Lyapunov-Krasovskii functional,the sufficient conditions that the system is asymptotically and have H? performance level y can be obtained by linear matrix inequality(LMI),and the quantized controller can be solved by the cone-complement linearization(CCL)algorithm.Finally,the numerical is given to illustrate the effectiveness.(3)Considering the influence of network-induction delay and quantization,the problem of quantized control of NCSs based on event triggering scheme is studied.By constructing the Lyapunov-Krasovskii functional,the sufficient condition that the system is the asymptotic stability can be obtained by using the LMI method,and the quantization controller can be solved by the cone-complement linearization(CCL)algorithm.Finally,the numerical is given to illustrate the effectiveness.