A finite-time-domain h∞ control method for time-varying systems under the influence of high-speed communication networks

Abstract

The invention provides a limited time-domain H∞ control method of a time-varying system under the influence of a high-speed communication network, belonging to the field of networked control systems. Firstly, a networked time-varying system model with multiplicative noise, random time delay and quantization error is established under the influence of random communication protocol and high-speed communication network, and then an observer-based state feedback controller is designed, using Lyapunov stability theory and linear The matrix inequality analysis method is used to obtain the sufficient conditions for the closed-loop system to meet the H∞ performance requirements; finally, a finite-time-domain H∞ controller design algorithm based on the cone compensation linearization method is proposed, and the time of the observer and the controller is obtained by using the Matlab LMI toolbox. variable gain matrix. The present invention considers the impact of random communication protocols and high-speed communication networks on networked time-varying systems in actual situations, and considers the existence of multiplicative noise, random time delay and quantization errors in the system, and is applicable to the finite time domain H of general networked time-varying systems. ∞ control, which reduces conservatism.

Description

Technical field [0001] The present invention belongs to the field of network control system, which relates to a limited time domain H∞ control method for high-rate communication networks. Background technique [0002] Since NetWorked Control Systems, NCSS has advantages such as easy sharing, strong flexibility and convenient installation and maintenance, in recent years, the control and filtering problems of NCSS have aroused extensive research. The existing controller and filter design methods are only for the constant controlled objects in an infinite time domain, and in the actual NCSS, many systems sometimes sometimes due to operating point offset, equipment aging and environmental factors. The parameters are changed, so the transient characteristics of the time-change system in a limited time domain are sometimes more practical than the steady state characteristics of the constant system during the study. [0003] On the one hand, for the actual industrial system, delay is i...

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Problems solved by technology

For example, the data transmission rate of the process field bus-process automation network is 31.25kb / s, while the sampling period of the 13-b LM95172 temperature sensor is only 35ms (about 0.37kb / s), and the maximum sampling rate of the 12-b DT138 acceleration sensor is 100hz (1.2kb / s), which will lead to oversampling of the network signal (that is, the network signal has been transmitted multiple times between two adjacent sampling moments of the sensor), and there are often multiple sensors in actual NCSs , when these sensors use the network to communicate with the controller or filter at the same time, due to the limitation of network bandwidth, it is more likely to cause problems such as data conflict and loss, which will affect the stability and performance of the system, so it is necessary to introduce communication protocol to manage the right of each sensor node to access the network

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