**Event-Triggered Static Output Feedback Simultaneous** *<sup>H</sup>∞* **Control for a Collection of Networked Control Systems**

Sheng-Hsiung Yang and Jenq-Lang Wu

Additional information is available at the end of the chapter

http://dx.doi.org/10.5772/63020

### **Abstract**

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52 Robust Control - Theoretical Models and Case Studies

2014;123:292-298.

This chapter considers the design of event-triggered static output feedback simultane‐ ous *H∞* controllers for a collection of networked control systems (NCSs). It is shown that conventional point-to-point wiring delayed static output feedback simultaneous *H<sup>∞</sup>* controllers can be obtained by solving linear matrix inequalities (LMIs) with a linear matrix equality (LME) constraint. Based on an obtained simultaneous *H∞* controller, an *L*2 gain event-triggered transmission policy is proposed for reducing the network usage. An illustrative example is presented to verify the obtained theoretical results.

**Keywords:** networked control systems, simultaneous stabilization, event-triggered, static output feedback, *H*∞ control.
