The Robust Hurwitz Design Problem

最近，人们相当关注与以下方面有关的问题： 系统鲁棒控制，其数学描述包括 不确定参数 这种不确定性是在多样性中产生的 应用领域，如飞行控制，过程控制，车辆 控制和网络设计。 与下列方面有关的几个基本问题 将探讨这一主题。 这里的论点是，许多问题 这种类型的（如稳定，跟踪，补偿， 寄生等）可以简化为更基本的问题， 多项式 为此，本研究首先建立了一个坚实的 鲁棒控制问题和一类特殊的 多项式问题 由此产生的多项式原来有一个 特别的结构，将在拟议中大量使用， research. 统一的多边形框架很容易适应变化 在秩序和不确定性的范围内，而不是一个连续的， 有限集 目的是开发特定的补偿器设计 程序. 数字技术发展的动力 方法是从最近的突破，在理论的间隔 Kharitonov的多项式。

Recently, considerable attention has been given to problems related to the robust control of systems whose mathematical description includes uncertain parameters. This type of uncertainty arises in a diversity of application areas such as flight control, process control, vehicle control, and network design. Several fundamental issues related to this topic will be explored. The contention here is that many problems of this type (such as stabilization, tracking, compensation against parasitics, etc.) can be reduced to more basic questions about polynomials. To this end, this research first establishes a solid connection between robust control problems and a special class of polynomial problems. The resulting polynomials turn out to have a special structure which will be heavily expoited in the proposed research. The unifying polymial framework readily accommodates changes in order and uncertainties which range over a continuum rather than a finite set. The intention is to develop specific compensator design procedures. Much of the impetus for the development of numerical methods is derived from a recent breakthrough in the theory of interval polynomials by Kharitonov.