Study on the Stability of the Volterra Series Model Based Adaptive Control Systems
基于Volterra级数模型的非线性系统自适应控制稳定性研究

The adaptive control problem of a class of SISO nonlinear control systems is studied, which can be modeled by a finite discrete Volterra series model. Firstly, the parameters are estimated by using the recursive least_square method, then the control law is presented by solving a polynomial equation. The local convergent property of the proposed algorithm is proved by the local stability theory of feedback Volterra systems. Simulation results corroborate the proposed algorithm.