对于时延的非线性系统,将其等价为含有纯滞后的时变线性系统,利用三次样条函数逼近时变参数,利用渐消记忆递推最小二乘法在线辨识多项式的参数以实现时变参数估计,将基于Hammerstein模型的非线性系统线性化.最后运用广义预测控制策略实现对该系统的仿真,结果表明被控对象在广义预测控制算法的控制下系统闭环稳定性好、稳态误差小.
Aims at a class of time - delay nonlinear systems which are substituted with a time - varying and delay linear systems, then a group of cubic spline functions are employed to approach the time - varying coefficients and memory -tapered recursive least- square method is used to identify the invariable coefficients of the polynomial on -line. The nonlinear system which is based on Hammerstein model is linearized. At last, the generalized predictive control method is used to simulate the nonlinear system and the simulation results indicate that good close -loop stability and small steady error of the nonlinear system obtained.