A Design Method of State Observer for Discrete Nonlinear Systems With Disturbances
The design of state observer for a class of nonlinear discrete systems with disturbances was discussed.Firstly,based on Lyapunov stability theory,a sufficient condition for the existence of the observer gain matrix in discrete systems without external disturbances was obtained.Secondly,considering the disturbance term of the discrete system,performance indicators were incorporated into the Lyapunov function design for external disturbances in the system.A sufficient condition for the existence of the observer gain matrix of the discrete system with disturbances was obtained.This method could weaken the influence of disturbances on system state estimation by setting performance indicators,and was also conducive to the design and solution of gain matrix.Finally,the design method of nonlinear discrete system observers was extended to singular systems,making the method more general.Three numerical examples were used to validate the proposed method,and the simulation results showed the feasibility and effectiveness of the proposed method.
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维普
