Abstract
Nonlinearity is ubiquitous in practical industrial production, so this paper investigates the problems of modeling, $H_{\infty }$ control and stabilization for a class of nonlinear networked cascade control systems (NCCSs) under an event-triggered scheme, which makes the system have more practical application value. Firstly, aiming at a kind of typical nonlinear system in industrial production, a new mathematical model is established by adding networked cascade control system and event-triggered scheme. The collaborative design method of primary and secondary controller parameters and event-triggered parameters is completed utilizing linear matrix inequality (LMI). Secondly, based on ensuring its stability, combined with $H_{\infty }$ control, the system’s disturbance is suppressed, making the system more universal. Finally, the feasibility and effectiveness of the proposed method in the nonlinear networked cascade control system has verified by a marine boiler liquid level cascade control system.
Highlights
Due to the continuous development and maturity of networked control systems (NCSs) [1] in recent decades, it has received widespread attention from scholars
Considering the needs of practical industrial production, based on a class of nonlinear systems and event-triggered scheme, the primary and secondary controllers of networked cascade control systems (NCCSs) have designed in this paper
The method is applied to a liquid level of marine boiler control system, which is connected through the network
Summary
Due to the continuous development and maturity of networked control systems (NCSs) [1] in recent decades, it has received widespread attention from scholars. Most scholars focus on the stability of the Lurie system structure itself Few people combine it with the networked cascade control system. This paper is based on a class of nonlinear NCCSs, add an event-triggered scheme and H∞ control, completing the collaborative design of the primary state feedback controller and secondary one, and obtain event-triggered parameters. The main contributions of this paper are summarized as follows: 1) To the best of our knowledge, few scholars combine nonlinear term and event-triggered scheme with networked cascade control systems simultaneously. This paper is the first time to combine Lurie nonlinear cascade control system and event-triggered scheme with networked control. 2) A new model which takes nonlinear terms and eventtriggered control is constructed This model can describe the actual industrial production process more closely and practically.
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