Research Initiation: Development of the l1 - Based Design Methodology for Systems with Uncertainties

这个项目是关于多变量反馈控制系统设计的发展，在存在干扰，噪音，和植物不确定性。特别是，我们将考虑最近开发的基于l1的设计方法，以最佳地拒绝任意但有界和持续的干扰或噪声。目标是进一步发展理论，以实现性能鲁棒性：稳定性和良好的性能，在存在植物不确定性。通过引入时变预滤波器可以更好地表示干扰，因此该理论可以推广到这类问题。我们将发展这个理论来处理无限维系统（例如有延迟的系统）。这将使设计方法适用于更大的一类问题，如由偏微分方程控制的系统。将开发基于数值鲁棒算法和状态空间计算的软件，然后将理论应用于一些实际实例。该项目将对一般设计理念和对不确定系统的理解产生重大影响。结果将很容易适用于许多问题，如空间应用，机器人，过程控制和其他。此外，它还将对自适应控制等相关领域产生影响。

This project is concerned with the development of multivariable feedback control systems design in the presence of disturbances, noise, and plant uncertainty. In particular, we will consider the l1 -based design methodology recently developed to optimally reject arbitrary, but bounded and persistent disturbances or noise. The objective is to develop the theory further to achieve performance robustness: stability and good performance in the presence of plant uncertainties. Better representation of disturbances will be achieved by introducing time-varying pre-filters, and hence the theory will be generalized for such problems. We will develop the theory to handle infinite dimensional systems (e.g. systems with delays). This will make the design methodology applicable to a larger class of problems such as systems governed by partial differential equations. Software based on numerically robust algorithms and state-space computations will be developed, and then the theory will be applied on some practical examples. This project will have a significant impact on the general design philosophy and the understanding of uncertain systems. The results will be readily applicable to many problems such as space applications, robotics, process control and others. Also, it will have an impact on related fields such as adaptive control.