TY - GEN
T1 - Control of pendulum-like system with multiple nonlinearities
AU - Ouyang, Hua
AU - Petersen, Ian Richard
AU - Ugrinovskii, Valery
PY - 2008
Y1 - 2008
N2 - This paper addresses a stability analysis problem and synthesis problem for pendulum-like systems with multiple nonlinearities. A method for analysing the Lagrange stability of a pendulum-like system with multiple nonlinearities is proposed. In order to study the synthesis problem, the paper develops an Extended Strict Bounded Real Lemma for unstable systems. A sufficient condition for Lagrange stabilization is proposed in terms of an algebraic Riccati equation with a sign infinite solution. An algorithm is given to solve the algebraic Riccati equation for a Lagrange stabilizing solution and thus gives a control law to stabilize the system in the sense of Lagrange stability.
AB - This paper addresses a stability analysis problem and synthesis problem for pendulum-like systems with multiple nonlinearities. A method for analysing the Lagrange stability of a pendulum-like system with multiple nonlinearities is proposed. In order to study the synthesis problem, the paper develops an Extended Strict Bounded Real Lemma for unstable systems. A sufficient condition for Lagrange stabilization is proposed in terms of an algebraic Riccati equation with a sign infinite solution. An algorithm is given to solve the algebraic Riccati equation for a Lagrange stabilizing solution and thus gives a control law to stabilize the system in the sense of Lagrange stability.
KW - Application of nonlinear analysis and design
KW - Nonlinear system control
KW - Robustness analysis
UR - https://www.scopus.com/pages/publications/79961018388
U2 - 10.3182/20080706-5-KR-1001.3300
DO - 10.3182/20080706-5-KR-1001.3300
M3 - Conference Paper
AN - SCOPUS:79961018388
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -