Stability Analysis And Controller Design Of A Class Of Linear Discrete Network Systems

The increasing demand of modern control systems cannot be met by traditional point-to-point control methods,and the development of Networked control solves the problems of traditional control systems.Networked Control Systems(NCSs)are a distributed control method that is widely used in various control fields because it has the characteristics of high reliability,simple wiring,and low maintenance cost,thus making up for the traditional control system like Insufficient space constraints,high maintenance costs,complicated wiring,etc.At present,the rich research results have been obtained because of the extensive research conducted by experts at home and abroad in the continuous networked control system.However,the research results of discrete systems are much less than those of continuous systems at home and abroad.Therefore,the stability analysis and controller design of a class of linear discrete networked control systems will be further studied in this paper.The following are some aspects of this paper based on the above:(1)Firstly,the stability problem of a class of linear discrete networked control systems will be analyzed based on the L-K stability theory.A L-Kfunctional is constructed for a networked control system model and then differential operations are performed on this functional.The difference term is treated by a discrete form of Wirtinger inequality,and a set of zero equations is introduced,so that the conservation of the fixed weight matrix in the linear matrix inequality is overcome.The advantage is to avoid the conservative of model transformations and process of cross terms.Through the above steps,the stability criteria of the networked control systems are derived.Furthermore,the stability criteria of the system are less conservative than existing ones,and the validity of the stability criteria of the network system is verified by numerical examples and simulation experiments.(2)Secondly,considering that the stabilization problem of the system is closely related to its stability,therefore in order to improve the stability of the system,a state feedback controller is designed for the system to improve its performance and the system is more in line with the actual application scenario.The controller of a class of linear discrete networked control systems will be designed in the fourth chapter of this paper,and solved by the LMI-based iterative algorithm.The availability of the designed controller is verified by simulation experiments.(3)Finally,the uncertainties of the actual system should also be considered,so the problem of robust controller design for uncertain discrete NCSs with parameters will also be studied in this paper.Both the conditions of robust stability and the scheme of controller design will be given in the form of linear matrix inequalities.The validity of the results obtained is verified by numerical examples.