Study on the nonlinear control using transformation to state-jump system

他的研究提出了一种控制系统设计方法的框架，通过增加新的连续或离散坐标来扩展动态被控对象的状态空间，并在增广的空间上设计期望的闭环系统，允许在新的坐标上进行状态跳变。在此基础上，给出了求取非连续静态反馈律或离散状态控制律的扩展空间的退化方法。通过引入状态跳跃，即使对于动态系统的决策问题，我们也可以从数学上构造控制器。

his study proposes a framework of control system design methodologies bywhich the state space of a dynamical controlled object is extended by adding new continuous or discretecoordinates and a desired closed-loop is designed on the augmented space allowing state-jumps on thenew coordinates. Furthermore, methods of the degeneracy of the extended space for obtaining adiscontinuous static feedback law or a control law with discrete states are given. By introducingstate-jumps, we can construct a controller mathematically even for decision-making problems of thedynamical systems.