PID output-feedback control under event-triggered protocol. Issue 5 (4th July 2018)

• Record Type: Journal Article
• Authors: Zhao, Di; Wang, Zidong; Ding, Derui; Wei, Guoliang; Alsaadi, Fuad E.
• Is Part Of: International journal of general systems. Volume 47:Issue 5(2018)
• Page Start: 432
• Page End: 445
• Publication Date: 2018-07-04
• Subjects: PID control -- H∞ control -- event-triggered mechanism -- orthogonal decomposition -- output feedback; System theory -- Periodicals; 003
• DOI: 10.1080/03081079.2018.1459596
• Languages: English
• ISSNs: 0308-1079

Abstract

Abstract: This paper is concerned with theH ∞ proportional-integral-derivative (PID) output-feedback control problem for a class of linear discrete-time systems under event-triggered protocols. The controller and the actuators are connected through a communication network of limited bandwidth, and an event-triggered communication mechanism is adopted to decide when a certain control signal should be transmitted to the respective actuator. Furthermore, a novel PID output-feedback controller is designed where the accumulative sum-loop (the counterpart to the integral-loop in the continues-time setting) operates on a limited time-window with hope to mitigate the effect from the past measurement data. The main objective of the problem under consideration is to design a desired PID controller such that the closed-loop system is exponentially stable and the prescribedH ∞ disturbance rejection attenuation level is guaranteed under event-triggered protocols. By means of the Lyapunov stability theory combined with the orthogonal decomposition, sufficient conditions are established under which the addressed PID controller design problem is recast into a linear convex optimization one that can be easily solved via available software packages. Finally, a simulation example is exploited to illustrate the usefulness and effectiveness of the established control scheme.