TY - GEN
T1 - Robust H∞ filtering for polynomial nonlinear systems using sum of squares optimization
AU - Zhao, Dan
AU - Wang, Jian Liang
PY - 2010
Y1 - 2010
N2 - The robust H∞ filtering problem for the polynomial nonlinear systems against parametric uncertainty is investigated in this paper. By introducing additional matrix variables, we succeed in eliminating the coupling terms among system dynamics, filter dynamics and the Lyapunov matrix. Sufficient conditions to guarantee the filter stability with guaranteed H ∞ norm from the unknown norm-bounded disturbance signal to the estimation error are derived in terms of state dependent matrix inequalities, which provide an effective way for the application of the new sum of squares programming technique to obtain computationally tractable solutions. Robust H∞ filter is designed in an efficient computational manner. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed methodology.
AB - The robust H∞ filtering problem for the polynomial nonlinear systems against parametric uncertainty is investigated in this paper. By introducing additional matrix variables, we succeed in eliminating the coupling terms among system dynamics, filter dynamics and the Lyapunov matrix. Sufficient conditions to guarantee the filter stability with guaranteed H ∞ norm from the unknown norm-bounded disturbance signal to the estimation error are derived in terms of state dependent matrix inequalities, which provide an effective way for the application of the new sum of squares programming technique to obtain computationally tractable solutions. Robust H∞ filter is designed in an efficient computational manner. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed methodology.
UR - http://www.scopus.com/inward/record.url?scp=77957881724&partnerID=8YFLogxK
U2 - 10.1109/ICCA.2010.5524294
DO - 10.1109/ICCA.2010.5524294
M3 - Conference contribution
AN - SCOPUS:77957881724
SN - 9781424451951
T3 - 2010 8th IEEE International Conference on Control and Automation, ICCA 2010
SP - 848
EP - 853
BT - 2010 8th IEEE International Conference on Control and Automation, ICCA 2010
T2 - 2010 8th IEEE International Conference on Control and Automation, ICCA 2010
Y2 - 9 June 2010 through 11 June 2010
ER -