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On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators
Journal article   Peer reviewed

On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators

A Saberi, Ping Ping Hou and A.A Stoorvogel
IEEE transactions on automatic control, Vol.45(6), pp.1042-1052
06/2000
Handle:
https://hdl.handle.net/2376/110734

Abstract

Linear systems Computer science Asymptotic stability State feedback Costs Design methodology Hydraulic actuators Control systems Scheduling Mathematics
This paper deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system that is both globally finite gain L/sub p/ stable and globally asymptotically stable. Moreover, the controller has an explicit design parameter that can be adjusted to make the L/sub p/ gain of the closed-loop system arbitrarily small.

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