TY - GEN
T1 - A pseudo-H∞ control theory and its application to the control of pendulum-like nonlinear systems
AU - Ouyang, Hua
AU - Petersen, Ian R.
AU - Ugrinovskii, Valery
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
N2 - This paper studies the problem of control of pendulum-like nonlinear systems to achieve closed-loop Lagrange stability. A state feedback pseudo-H∞ control theory is developed. In a similar fashion to the strict bounded real lemma in H∞ control theory, a strict pseudo-bounded real lemma is established. A sufficient condition for the synthesis of the state feedback pseudo-H∞ control is given, which is also applied to the control of pendulum-like nonlinear systems.
AB - This paper studies the problem of control of pendulum-like nonlinear systems to achieve closed-loop Lagrange stability. A state feedback pseudo-H∞ control theory is developed. In a similar fashion to the strict bounded real lemma in H∞ control theory, a strict pseudo-bounded real lemma is established. A sufficient condition for the synthesis of the state feedback pseudo-H∞ control is given, which is also applied to the control of pendulum-like nonlinear systems.
KW - Lagrange stability
KW - Pendulum-like nonlinear system
KW - Pseudo-H control
KW - Strict Pseudo-bounded real lemma
UR - http://www.scopus.com/inward/record.url?scp=77950850727&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77950850727&partnerID=8YFLogxK
U2 - 10.1109/CDC.2009.5399686
DO - 10.1109/CDC.2009.5399686
M3 - Conference contribution
AN - SCOPUS:77950850727
SN - 9781424438716
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 2125
EP - 2131
BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Y2 - 15 December 2009 through 18 December 2009
ER -