Event-Triggered H-Infinity Control for Continuous-Time Singular Networked Cascade Control Systems With State Delay

Zhaoping Du,Jianzhen Li,Xiaofei Yang,Wen Li

doi:10.1109/access.2019.2962255

Abstract

This paper is concerned with the problems of modeling, stabilization, and H control for continuous-time singular networked cascade control systems (SNCCSs) with state delay and event-triggered control. An event-triggered scheme is firstly introduced to this system for utilizing the network bandwidth resources efficiently. Considering the effects of both time-varying network-induced delay and event-triggered control, a singular networked cascade control system (SNCCS) model is established. By constructing a suitable Lyapunov-Krasovskii functional, sufficient condition of admissibility for this system is proposed, and the co-design method of event-triggered parameter, primary state feedback controller and secondary state feedback controller are also derived. Furthermore, H ∞ control is concerned for SNCCS via linear matrix inequality (LMI) technique. Finally, a simulation example considering a heating furnace with the structure of SNCCS and event-triggered control is given to illustrate the effectiveness of the proposed method, where it can be seen this method is superior to the existing one with periodic control.

Highlights

Since cascade control is firstly proposed in [1], it has become a very effective strategy to improve the performance of closed-loop control systems
Cascade control systems are usually composed of two control loops: a secondary loop embedded into a primary one
Cascade control has been considered in all kinds of dynamics systems, such as nonlinear systems [2], [6], networked control systems (NCSs) [7]–[9], neural network systems [10], singular networked control systems [11], [12] and so on

Summary

INTRODUCTION

Since cascade control is firstly proposed in [1], it has become a very effective strategy to improve the performance of closed-loop control systems. The co-design method of event-triggered parameter, primary controller and secondary one will be proposed based on Lyapunov-Krasovskii method which guarantees that the corresponding closed-loop SNCCS is admissible. The corresponding event-triggered parameter, the primary and secondary controller gains can be obtained as: = R −T R −1, K1 = W1R −1, K2 = W2P −1 According to the obtained result, it can be applied to the practical industrial control systems

SIMULATION EXAMPLE

Findings

FOR SNCCS WITHOUT DISTURBANCE