一类非线性系统的稳态模型估计及其强一致性分析

针对由Ｖｏｌｔｅｒａ级数描述的一类非线性系统，提出了采用设定点变化的阶跃信号辨识系统稳态模型的方法，得到了稳态模型的强一致性估计．研究了估计残差的渐近分布和收敛速度．最后的仿真结果显示了该算法的有效性和实用性．

Identification of Steady State Model for Nonlinear System Described by Volterra Series and Its Strong Consistency

This paper presented a new identification technique which uses the step signals of set points changes in the course of optimizing control to identify steady state model of the nonlinear system described by Volterra series. The estimate of steady state model is of strong consistency. The paper also studies the asymptotic distribution of estimate error and the convergence rate of the error. Finally, simulation results show that the new one is efficient and practical.