Abstract

This article considers the problem of periodic event-triggered control design for dual-rate networked control systems subject to nonvanishing disturbance. The plant considered in this article is a kind of dual-rate networked control system, where the sensor samples the measurement output at a slow rate and the actuator updates the control input at a fast rate. Despite the slow-rate sampling of the sensor, a new output predictor-based observer is proposed to accurately estimate system state and disturbance in the intersample time interval, and an active anti-disturbance controller that updates at a fast rate is accordingly proposed, such that the desirable control performance and disturbance rejection performance can be achieved. At each fast-rate updating time instant, we use the prediction technique to generate a data packet, including the computed current control input and the predicted values of the control inputs for the future finite steps, and design a new periodic event-triggered mechanism to determine whether to transmit the data packet via a communication network or not. The proposed control method is easily implemented in digital platform since it has a discrete-time form. To verify the effectiveness of the proposed control method, we finally present the simulation results of a practical speed control system.

Highlights

  • In traditional control theory and application, one of the main issues is how to design appropriate controller to achieve the desirable control performance by using system information without communication constraints, and plenty of outstanding results have been developed for various nonlinear systems and practical applications

  • 3) Different from many existing periodic event-triggered control (PETC) methods, where only the control signal computed at current time instant is transmitted when an event is triggered, this paper proposes a new periodic event-triggering mechanism (PETM) based on data package, which includes the control input computed at the current time instant and the predicted values of the control inputs for the future finite steps, such a design method has the advantage on reducing transmission times

  • This paper has considered the PETC design problem for the dual-rate networked control system (NCS) with non-vanishing disturbance

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Summary

Introduction

In traditional control theory and application, one of the main issues is how to design appropriate controller to achieve the desirable control performance by using system information without communication constraints, and plenty of outstanding results have been developed for various nonlinear systems and practical applications (see [1]–[4]). It is necessary to develop novel control method to save the limited communication bandwidth resource while maintaining the desirable control performance for NCS [14]– [16]. A large data transmission rate is preferable to realize a desired control performance but aggravates network congestion, packet dropout, and other network-induced constraints. One promising approach named periodic event-triggered control (PETC) has been proposed in the recent decade [17]–[22]

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