一类非线性系统在任意初值下的开环D型迭代学习控制

Open-loop D-Type Iterative Learning Control for a Class of Nonlinear Systems with Arbitrary Initial Value

给出了一类非线性时变系统在任意初值条件下采用开环D型迭代学习控制算法时的收敛条件,运用算子理论进行收敛性证明。该算法克服了系统输出信号跟踪期望输出依赖于期望状态和期望输入的缺陷,解决了迭代学习控制中的初始状态问题,而且收敛条件放宽了,给出了仿真研究实例,研究结果说明该算法的有效性。

The convergence condition of the open-loop D-type iterative learning control for a class of nonlinear systems with arbitrary initial value was researched. The convergence of the learning algorithm was proved based on operator theory. The limitations about the initial state of the dynamical system at the beginning of learning process could be neglected The convergence condition is weaker than the known results. A simulation example was given. The results of theory analysis and simulation illustrate the effectiveness of the learning control method.