Event‐triggered Control of Linear Systems with Saturated Inputs

Abstract

This paper investigates the event-triggered control of linear systems with saturated state feedback and saturated observer-based feedback, respectively. The problem of simultaneously deriving stabilizing event-triggered controllers and tackling saturation nonlinearity is cast into a standard linear matrix inequalities problem. Key topics are studied, such as event-triggered observer design and event-triggered saturated observer-based feedback synthesis. Important issues are touched on, including the existence of the positive lower bound for inter-event times, and self-triggered algorithms.

Decentralized Integral-Based Event-Triggered Stabilization for Linear Plant with Actuator Saturation and Output Feedback

“…Let the argument variable be X c = (x T , z T ) T . Motivated by [21], we initially use Lemma 1 to deal with the saturation nonlinearity, which shows that if…”

“…[21] studied the event-triggered asymptotic stabilization of a continuous-time plant with saturated inputs in both static state feedback and dynamic output feedback configurations. A kind of centralized relative event condition is employed in [21], which is also applied in [3,22].…”

A Robust Asynchronous Sampled-Data Control Design for Nonlinear Systems with Actuator Failures

“…Basically, in sampled-data control algorithms, continuous-time systems are controlled by discrete-time controllers implemented in digital devices [8][9][10]. In asynchronous sampled-data systems, the sampled-rate to obtain discrete-time data from the measurable out signals given by the process is automatically governed by monitoring the occurrence of a event [1,2,[11][12][13][14][15][16]. Hence, the sampling rate is auto generated according to the process demand and the stated control objective instead of imposing a homogeneous sampling-time pace.…”

Event-triggered observer-based tracking control for leader-follower multi-agent systems

“…Yan et al develop a consensus control under a weighted directed network topology [21]. Furthermore, the event-triggered control for linear systems is also considered [9,12,23,24,25,26], such as the event-triggered control for nonlinear systems [9], the event-based dynamic output feedback [23], the event-triggered control and observer for the tracking problem [24], the event-based control with time delay [26].…”