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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 258189, 7 pages
http://dx.doi.org/10.1155/2015/258189
Research Article

Co-Design of Event Generator and Dynamic Output Feedback Controller for LTI Systems

1State Key Laboratory of Synthetical Automation for Process Industries, College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
2School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China
3College of Science, Liaoning University of Technology, Jinzhou, Liaoning 121001, China

Received 8 July 2014; Revised 15 August 2014; Accepted 18 August 2014

Academic Editor: Xi-Ming Sun

Copyright © 2015 Dan Ma et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents a co-design method of the event generator and the dynamic output feedback controller for a linear time-invariant (LIT) system. The event-triggered condition on the sensor-to-controller and the controller-to-actuator depends on the plant output and the controller output, respectively. A sufficient condition on the existence of the event generator and the dynamic output feedback controller is proposed and the co-design problem can be converted into the feasibility of linear matrix inequalities (LMIs). The LTI system is asymptotically stable under the proposed event-triggered controller and also reduces the computing resources with respect to the time-triggered one. In the end, a numerical example is given to illustrate the effectiveness of the proposed approach.