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Title: Linear matrix inequalities for analysis and control of linear vector second-order systems

Many dynamical systems are modeled as vector second-order differential equations. This paper presents analysis and synthesis conditions in terms of LMI with explicit dependence in the coefficient matrices of vector second-order systems. These conditions benefit from the separation between the Lyapunov matrix and the system matrices by introducing matrix multipliers, which potentially reduce conservativeness in hard control problems. Multipliers facilitate the usage of parameter-dependent Lyapunov functions as certificates of stability of uncertain and time-varying vector second-order systems. The conditions introduced in this work have the potential to increase the practice of analyzing and controlling systems directly in vector second-order form.
Authors:
 [1] ;  [1]
  1. Aalborg Univ. (Denmark)
Publication Date:
OSTI Identifier:
1225134
Report Number(s):
PNNL-SA--105578
Journal ID: ISSN 1049-8923
DOE Contract Number:
AC05-76RL01830
Resource Type:
Journal Article
Resource Relation:
Journal Name: International Journal of Robust and Nonlinear Control; Journal Volume: 25; Journal Issue: 16
Publisher:
Wiley
Research Org:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS second-order systems; linear matrix inequalities; robust control