The convex combination algorithm(CCA) is proposed to optimize single hidden layer feedforward neural networks.This method updates the weights by iterating to massage the information in the hidden layer.And a new error function is set up to measure the performance of the neural networks.The optimized parameters can be obtained by decoupling the weights
which improves the calculating speed of the parameters.On the basis
a design method of an adaptive neural networks state observer for nonlinear systems is proposed.At last
the simulation is used and illustrates that the observer can observe the state values of the system accurately and quickly.