Observer design for Lipschitz nonlinear singular systems
Lipschitz广义非线性系统观测器设计

The observer design for nonlinear singular systems is discussed.First,for an index-one nonlinear singular systems,the stability and asymptotical stability with positive semi-definite Lyapunov functions are analyzed.Then,for nonlinear singular systems composed of linear and Lipschitz nonlinear terms,some sufficient conditions are proposed for the existence of asymptotically stable observer system.An algorithm is developed to calculate the observer gain,converting the original problem into admissible control of a linear singular system and the calculation of minimum singular value of the correspondingly closed system.It is proven that if the minimum singular value is greater than the Lipschitz constant of the nonlinear singular system,the admissible controller gain can serve as the observer gain.