Control of Nonlinear Systems with Bounded and Switching Controls

本研究考虑分析和控制一类 具有有界和切换控制函数的非线性系统。 等 系统应用于许多领域例如电力系统， 航天器动力学和开关电气网络。 问题需要 研究了能控性、可达性和最优控制 问题的控制出现线性成本有界 开关控制函数和最小开关控制问题 控制系统 对这些问题的系统调查， 线性解析二维系统和双线性系统 尺寸将被调查。

This research considers the analysis and control of a class of nonlinear systems with bounded and switching control functions. Such systems have application to a number of areas such as power systems, spacecraft dynamics and switched electrical networks. Problems to be studied include controllability, attainability and optimal control problems where the control appears linearly in the cost for bounded control functions and minimum switch control problems for bang-bang control systems. A systematic investigation of these problems for linear-analytic two dimensional systems and bilinear systems in higher dimensions will be investigated.