Research Initiation Award: Research in Nonlinear Control

非线性控制的最新进展 理论加上重大进展， 计算机技术使一种新的 控制系统设计的时代。 援用 在这些进步中，我们寻求扩大 理论的适用性， 可行设计的最终目标 方法论 使用理论工具， 微分几何，中心流形， 奇异摄动和辅助强大的 图形和符号计算工具，我们 将调查： O 输入输出近似 非线性系统 具有期望正则性的系统 条件和 O 系统扰动对 MIMO非线性结构 系统. 更好地了解这些领域将 大大有助于 理论认识与实践设计 高性能非线性控制系统。

Recent developments in nonlinear control theory coupled with significant advances in computing technology have made possible a new era of control systems design. Availing ourselves of these advances, we seek to expand the applicability of the theory toward an eventual goal of a practicable design methodology. Using theoretical tools from differential geometry, center manifolds, and singular perturbations and aided by powerful graphics and symbolic computational tools, we will investigate: o input-output approximations of nonlinear systems by nonlinear systems possessing desired regularity conditions, and o the effect of system perturbations on the structure of MIMO nonlinear systems. A better understanding of these areas will make a significant contribution to the theoretical understanding and practical design of high performance nonlinear control systems.