The consistent intialization of differential-algebraic systems
SIAM Journal on Scientific and Statistical Computing
Robust control of a class of uncertain nonlinear systems
Systems & Control Letters
H∞ filtering for a class of uncertain nonlinear systems
Systems & Control Letters
H∞ control for descriptor systems: a matrix inequalities approach
Automatica (Journal of IFAC)
On observing nonlinear descriptor systems
Systems & Control Letters
Time-varying increasing-gain observers for nonlinear systems
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
In this paper, a generalized robust nonlinear H"~ filtering method is proposed for a class of Lipschitz descriptor systems, in which the nonlinearities appear both in the state and measured output equations. The system is assumed to have norm-bounded uncertainties in the realization matrices as well as nonlinear uncertainties. We synthesize the H"~ filter through semidefinite programming and strict LMIs. The admissible Lipschitz constants of the nonlinear functions are maximized through LMI optimization. The resulting H"~ filter guarantees asymptotic stability of the estimation error dynamics with prespecified disturbance attenuation level and is robust against time-varying parametric uncertainties as well as Lipschitz nonlinear additive uncertainty. Explicit bound on the tolerable nonlinear uncertainty is derived based on a norm-wise robustness analysis.