Control of Stochastic Systems Subject to Sudden Change in Character

这项研究将集中于一类受随机变化的大幅度扰动的非线性系统的控制器综合。需要考虑的特殊类型的问题是，当工厂具有有限数量的标称运行点并且在这些点之间进行不频繁的转换时。这项工作的目标是推广现有的分析方法，以便在不创建难以计算的设计方程的情况下，在系统模型中包含更现实的约束。特别令人感兴趣的是，传感器噪声的加入和对主要外部干扰的马尔可夫假设的削弱，用更新过程结构取代了它。预计通过扩展允许的植物模型的类别，将有可能改进初始设计，从而避免在合成过程的后期阶段进行特别修改。

This research will focus on the synthesis of controllers for a class of nonlinear systems subject to randomly varying disturbances of large amplitude. The particular class of problems to be considered is that where the plant has a finite number of nominal operating points and makes infrequent transitions between these points. The goal of the work is to generalize existing analytical procedures so that more realistic constraints can be included in the system model without creating computationally intractable design equations. Of particular interest is the inclusion of sensor noise and the weakening of the Markov hypothesis on the primary exogenous disturbance by replacing it with a renewal process structure. It is expected that by extending the class of permissible plant models, it will be possible to improve the initial design thus avoiding ad hoc modifications in later stages of the synthesis process.