Robust H<sub>∞</sub> Triggered Control of Linear Systems

Authors

  • Magdi S. Mahmoud Distinguished University Professor, Coordinator of Distributed Control Research Group Systems Engineering Department, KFUPM
  • Muhammad Sabih
  • Uthman Baroudi

Keywords:

vent-triggered control, Self-triggered control, Robust H1 control, Cart and pendulum systemvent-triggered control, Cart and pendulum systemE

Abstract

In this paper, we study the impact of triggered control strategies for a class of uncertain linear systems. The event condition is proposed based on the relative error between the current state and the state at last sample time. We introduce robust H∞ theory into self-triggered sample strategy, and achieve both resource utilization and disturbance attenuation properties. We investigate the full-information feedback H∞ control for the perturbed linear system and develop a linear matrix inequality (LMI)-based sufficient condition guaranteeing the robust asymptotic stability of the closed-loop system. Employing a self-triggered control, we provide a method of designing the longest sampling period for the relevant H∞ controller when the system is stabilized and robust. A cart and pendulum example is given to show the efficiency of the theoretical result.

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Published

2014-08-15

How to Cite

Mahmoud, M. S., Sabih, M., & Baroudi, U. (2014). Robust H<sub>∞</sub> Triggered Control of Linear Systems. Asian Journal of Computer and Information Systems, 2(4). Retrieved from https://ajouronline.com/index.php/AJCIS/article/view/1499

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