Robust Optimization for Robust/Nonlinear Control Problems with Nonlinear Structures

为了应用于具有非线性结构的鲁棒和非线性控制问题，研究了鲁棒优化方法的理论性质、适用性和在控制应用中的有效性。特别地，推广了带函数变量的稳健优化问题的正确性验证方法。针对非多项式参数依赖的鲁棒优化问题，提出了一种渐近精确的方法。采用鲁棒优化方法研究了起重机的增益调度控制问题。非周期采样数据控制系统是一种新型的控制系统，其分析与综合是在鲁棒优化的框架下进行的。

For the application to robust and nonlinear control problems possessing nonlinear structures, robust optimization methods are investigated on their theoretical properties, their applicability, and their usefulness in the control application. In particular, the exactness verification method is generalized for robust optimization problems with function variables. An asymptotically exact method is developed for robust optimization problems with non-polynomial parameter dependence. Gain-scheduled control is considered for a crane with a robust optimization method. Analysis and synthesis of an aperiodic sampled-data control system, which is a new type of control systems, are considered in the framework of robust optimization.