Abstract

We consider adaptive optimal tracking problems for a minimum-phase discrete-time plant with uncertainty in the output channel and bounded exogenous disturbance. The coefficients of the equation of the linear time-invariant nominal model, the uncertainty gain, and the upper bound of the exogenous disturbance are assumed to be unknown, and the worst-case asymptotic tracking error serves as the performance criterion. It is shown that the statement of the optimal problem depends on a priori information about the bounded control. The solution of the problems is based on the polyhedral estimation of all unknown parameters and the use of the performance factor of the tracking problem as an identification criterion for calculating the current optimal estimates. The performance and efficiency of the proposed control algorithms is illustrated by the results of numerical simulation.

中文翻译：

---

输出不确定下离散时间最小相位设备的自适应优化跟踪

摘要

我们考虑具有输出通道不确定性和有界外生扰动的最小相位离散时间植物的自适应最优跟踪问题。假设线性时不变标称模型方程的系数、不确定性增益和外生扰动的上限未知，并以最坏情况渐近跟踪误差作为性能标准。结果表明，最优问题的陈述依赖于有界控制的先验信息。问题的解决是基于对所有未知参数的多面体估计，并利用跟踪问题的性能因素作为识别标准来计算当前最优估计。