A finite-time-domain Hinfinite control method for time-varying systems under the influence of high-rate communication networks is proposed

Abstract

The invention provides a finite time domain Hinfinite control method of a time-varying system under the influence of a high-speed communication network, belonging to the networked control system field. At first, under the influence of random communication protocol and high-speed communication network, a networked time-varying system model with multiplicative noise, stochastic time delay and quantization error is proposed. Then observer-based state feedback controller is designed. By using Lyapunov stability theory and linear matrix inequality analysis method, the sufficient conditions for theclosed-loop system to satisfy the Hinfinite performance requirement are obtained. Finally, a finite-time-domain Hinfinite controller design algorithm based on cone-complementary linearization is proposed, and the time-varying gain matrices of the observer and the controller are obtained by using Matlab LMI toolbox. The invention considers the influence of the stochastic communication protocol andthe high-speed communication network on the networked time-varying system under the actual situation, and the existence of multiplicative noise, the stochastic time delay and the quantization error ofthe system, and is suitable for the finite time domain Hinfinite control of the general networked time-varying system, and reduces the conservatism.

Description

technical field [0001] The invention belongs to the field of networked control systems, and relates to a limited time-domain H∞ control method of a time-varying system under the influence of a high-speed communication network. Background technique [0002] Due to the advantages of networked control systems (Networked Control Systems, NCSs), such as easy sharing, strong flexibility, and convenient installation and maintenance, the control and filtering problems of NCSs have attracted extensive research in recent years. Most of the existing controller and filter design methods only focus on the time-invariant plant in the infinite time domain, but in actual NCSs, due to the influence of operating point offset, equipment aging and environmental factors, many systems sometimes have Therefore, it is more practical to study the transient characteristics of time-varying systems in the finite time domain than the steady-state characteristics of time-invariant systems. [0003] On t...

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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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