非线性分布参数系统跟踪控制的学习算法

LEARNING ALGORITHM FOR TRACKING CONTROL OF NONLINEAR DISTRIBUTED PARAMETER SYSTEMS

尝试性地将学习控制方法用于一类非线性分布参数系统的跟踪控制上，分别获得了系统轨线于Ｌ２（Ω）空间，Ｗ １，２（Ω）空间中跟踪期望目标的结果．所给的学习算法避免了其收敛性要依赖于理想输入ｕｄ（ｘ，ｔ）这一不确定的条件，且对系统的非线性要求只是定性的而不是定量的，从而使得控制具有很强的鲁棒性能．

In this paper, we discuss the problem of tracking control for a class of nonlinear distributed parameter systems with unknown parameters. By using the iterative learning control method, we have given the learning algorithm and the sufficient conditions of precise tracking on L 2(Ω) space and W 1,2 (Ω) space. The algorithm has prevented its convergence depending on ideal input u d(x,t). Its requirement on the system's nonlinearity is not quanti tative but qualitative. And it brings strong robust performance to the control systems.