Presidential Young Investigators Award

本研究涉及控制理论及其 应用. 它侧重于两个领域的当前理论 包括振动和鲁棒周期反馈 泛函和偏泛函控制系统的控制理论 微分方程，自适应准则和自适应 这种系统的控制算法。 第一个主题涉及 以物质和/或能量传输为特征的系统 或信息的转换。 这类系统的模型 通常涉及空间导数和时间延迟。 这个类 包括等离子体，核反应堆和化学反应堆， 传输线、流体机械系统，以及 燃烧系统 对于这样的系统，常规时间 不变反馈和前馈控制律不能保证 所需的控制性能。 振动的概念和 周期性反馈提供了一些改善控制的希望， 系统. 对于第二个主题，使用渐近和 减少系统复杂性的几何技术， 使用基于知识的规则将有助于有限的设计， 上述系统的维度自适应控制器。 的 在这两项研究中开发的理论将在一个 先进控制实验室

This research is concerned with control theory and its applications. It focuses on two areas of current theoretical interest including vibrational and robust periodic feedback control theory for systems governed by functional and partial differential equations, and adaptation criteria and adaptive control algorithms for such systems. The first topic addresses systems characterized by the transport of matter and/or energy or the transformation of information. Models of such systems typically involve space derivatives and time delays. This class of systems include plasmas, nuclear and chemical reactors, transmission lines, mechanical systems with fluids, and combustion systems. For such systems, conventional time invariant feedback and feedforward control laws cannot guarantee the desired control performance. The concept of vibrational and periodic feedback offers some hope of improved control for these systems. For the second topic, the use of asymptotic and geometric techniques for reduction of system complexity, and the use of knowledge based rules will aid in the design of finite dimensional adaptive controllers of systems described above. The theory developed in both of these studies will be tested in an advanced control laboratory.