Event‐triggered constant reference tracking control for discrete‐time LPV systems with application to a laboratory tank system

Abstract

This study develops a novel event-triggered control design methodology for discrete-time dynamic systems characterised by linear parameter-varying (LPV) models. To this end, an event-triggering mechanism is first introduced for LPV systems aiming at reducing the data transmission of states, scheduling variables and controller outputs, i.e. at both the sensor and the controller nodes. Then, an event-based LPV state feedback controller is proposed to achieve a reference tracking objective. Sufficient conditions for simultaneous design of the controller parameters and event-triggering conditions are provided in terms of linear matrix inequality conditions to guarantee the stability of the closed-loop system and to track a desired step reference signal. The experimental results are finally presented to demonstrate and validate the properties and performance of the proposed control design approach on a laboratory tank system.

Emulation-Based Dynamic Output-Feedback Control of Saturating Discrete-Time LPV Systems

“…Similarly, if (8) activates an update at instant k, then from (9) we have that e u,k =û k − u k =û k−1 − u k = 0. Otherwise, and if u k is not updated at instant k, then from (8) we have that e u,k =û k − u k =û k−1 − u k .…”

“…Problem 1: Consider the DOF controller (5) that regionally stabilizes the saturating LPV system (1) in the absence of a communication network. Design the two ETMs (6) and (8), such that the closed-loop asymptotic stability is preserved and the number of data transmissions on the sensor-to-controller and controller-to-actuator channels is as low as possible.…”

“…Despite significant advancements in LPV systems analysis and control synthesis, only a few works on LPV eventtriggered control design are available in the literature. The event-based reference tracking control problem for discretetime LPV systems is addressed in [8], where a state-feedback controller and three event-triggering conditions are simultaneously designed. [9] investigates the event-triggered H ∞ control for discrete-time LPV systems by jointly designing a mixed ETM and a set of state feedback controllers.…”

Event triggered control for a switched LPV system with applications to aircraft engines

“…Following the similar method of Theorem 2, we get the lower bound of triggering time intervals for as Remark 6 In Theorem 3, the event triggering threshold is obtained based on the system performance. While in [34, 37], has been given in advance. Therefore, the scheme of this paper is more reasonable and satisfactory.…”

“…Speaking of the ETC research for LPV systems, only a few results are available (e.g. see [33–37]). The controllers of LPV systems are usually parameter dependent, and the sampled parameters should also be sent to the controllers under the ETC scheme.…”