High‐gain observers and linear output regulation for hybrid exosystems

Abstract

We consider the hybrid output regulation problem for minimum phase linear systems with relative degree greater than one. In the hybrid output regulation problem, an exosystem provides a disturbance or tracking signal that must be matched via an internal model in order to asymptotically regulate the error. This hybrid exosystem is a linear system that experiences periodic jumps. In this context, we build upon previous works in hybrid output regulation by showing how high‐gain observers can successfully overcome the obstacle of high relative degree. In certain scenarios, they can also be used to stabilize the hybrid internal model dynamics through jumps. Copyright © 2013 John Wiley & Sons, Ltd.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 23, 2013
Source ID
10.1002/rnc.3050

Entities

People

  • Andrew R. Teel
  • Lorenzo Marconi
  • Nicholas Cox

Organizations

  • Air Force Office of Scientific Research
  • National Science Foundation
  • University of Bologna

Tags

Readers

  • Calculus or Mathematical Analysis
  • Government and Public Administration Law.
  • Phased Array Antenna Design.