TY - GEN
T1 - An improved nonlinear H∞ synthesis for parameter-dependent polynomial nonlinear systems using SOS programming
AU - Zhao, Dan
AU - Wang, Jian Liang
PY - 2009
Y1 - 2009
N2 - State feedback control synthesis problems for a class of polynomial nonlinear systems are investigated in this paper. Less conservative sufficient conditions to achieve the closed-loop stability with or without H∞ performance are formulated in terms of state dependent matrix inequalities. By introducing additional matrix variables, we succeed in eliminating the involved coupling between system matrices and the Lyapunov matrix. Hence the proposed methodology can be extended to the synthesis for the parameter-dependent polynomial systems.
AB - State feedback control synthesis problems for a class of polynomial nonlinear systems are investigated in this paper. Less conservative sufficient conditions to achieve the closed-loop stability with or without H∞ performance are formulated in terms of state dependent matrix inequalities. By introducing additional matrix variables, we succeed in eliminating the involved coupling between system matrices and the Lyapunov matrix. Hence the proposed methodology can be extended to the synthesis for the parameter-dependent polynomial systems.
UR - http://www.scopus.com/inward/record.url?scp=70449639851&partnerID=8YFLogxK
U2 - 10.1109/ACC.2009.5160334
DO - 10.1109/ACC.2009.5160334
M3 - Conference contribution
AN - SCOPUS:70449639851
SN - 9781424445240
T3 - Proceedings of the American Control Conference
SP - 796
EP - 801
BT - 2009 American Control Conference, ACC 2009
T2 - 2009 American Control Conference, ACC 2009
Y2 - 10 June 2009 through 12 June 2009
ER -