A Note on Observer-Based Frequency Control for a Class of Systems Described by Uncertain Models-Reference-Cited by-同舟云学术

A Note on Observer-Based Frequency Control for a Class of Systems Described by Uncertain Models

Published:2017-10-03 Issue:2 Volume:140 Page:
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Popescu Nirvana¹,Ivanescu Mircea²,Popescu Decebal¹

Affiliation:

1. Computer Science Department, University Politehnica, Bucharest, 313, Splaiul Independentei, Bucharest 060042, Romania e-mail:

2. Mechatronic Department, University of Craiova, 13, Cuza Street, Craiova 200585, Romania e-mail:

Abstract

This paper focuses on the robust control problem for a class of linear uncertain systems by using frequency techniques. The controller/observer dynamics are analyzed using Lyapunov techniques, in terms of the state and state estimation error, for an uncertainty constrained over a specified range. A Popov-type criterion, a “circle criterion,” defined as the Popov frequency condition and the uncertainty circle, is formulated. It is proved that the closed-loop system is robustly stable if the Popov condition holds at all frequencies. The proposed method is validated against a robust controller for a balancing robot (BR).

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/doi/10.1115/1.4037528/6124909/ds_140_02_021008.pdf

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