Robust Control For A Class Of Non-uniformly Sampled Systems

The uniform sampling equal time intervals is traditional sampling mode of the industrialproduction,namely single sampling rate system,but the single sampling rate system theory has been very mature and in the production process of modern industry,involve with a variety of sensors and with a subject to transmission constraints or production equipment network the sampling period is not uniform or discontinuous etc..From the actual production process needs,the traditional single sampling rate system has not been able to guarantee the stability and security of the production process.From the point of view of improving the actual production efficiency,the application of non-uniform multirate system is more valuable,and the development prospect is wider.There are a lot of domestic and foreign scholars pay attention to the fact that the non-uniform multirate system has many advantages which are not available in the single sampling rate system.In this paper,based on the current research situation of non-uniform multirate systems,some theorems and system models of robust control for a class of non-uniformly sampled systems are presented.Firstly,the state space model of non-uniform sampling system is discretized and the model is improved.On this basis,the robust control method for four different cases of non-uniform sampling system is given,the effectiveness of the control method is verified by using the lemma and the proof theorem,finally,the simulation of the corresponding model is given.This paper is divided into the non-uniformly sampling system to determine the non-uniform sampling and uncertainty of non-uniformly sampled two kinds of refresh time refresh time,study on the stability analysis of the system with uncertain parameters in the non-uniform sampling system,on basis of it,the stability analysis of the system with data loss is proposed.Meanwhile,this paper studies the stability analysis of uncertain systems with uncertainties and the stability of the system under the condition of partial state information,on this basis,using the LMI toolbox of Matlab to assist the operation,the state space model of various schemes and its derivation are given in detail.Using the control method of this paper to analyze the industrial production process.The stability of the model is simulated,the experimental results verify the validity of the proposed theorem.The last part of this paper makes a summary of this thesis and puts forward the ideas and directions for future research.