# Mixed-Triggered Reliable Control for Singular Networked Cascade Control Systems with Randomly Occurring Cyber Attack

## TL;DR

This paper proposes a mixed-triggered reliable control scheme for singular networked cascade control systems that effectively manages actuator saturation and cyber attacks, improving network security and resource utilization.

## Contribution

It introduces a unified mixed-triggered control framework incorporating both time and event-triggered schemes for singular NCCSs with cyber threats.

## Key findings

- Derived LMIs for stability and dissipativity conditions.
- Validated effectiveness through a power plant boiler-turbine example.
- Enhanced resource efficiency and security in networked control systems.

## Abstract

In this paper, the issue of mixed-triggered reliable dissipative control is investigated for singular networked cascade control systems (NCCSs) with actuator saturation and randomly occurring cyber attacks. In order to utilize the limited communication resources effectively, a more general mixed-triggered scheme is established which includes both schemes namely time-triggered and event-triggered in a single framework. In particular, two main factors are incorporated to the proposed singular NCCS model namely, actuator saturation and randomly occurring cyber attack, which is an important role to damage the overall network security. By employing Lyapunov-Krasovskii stability theory, a new set of sufficient conditions in terms of linear matrix inequalities (LMIs) is derived to guarantee the singular NCCSs to be admissible and strictly (Q,S,R)-dissipative. Subsequently, a power plant boiler-turbine system based on a numerical example is provided to demonstrate the effectiveness of the proposed control scheme.