History-dependent modified sliding mode interception strategies with maximal capture zone

作者：Glizer Valery Y; Turetsky Vladimir^*; Fridman Leonid; Shinar Josef

来源：Journal of the Franklin Institute, 2012, 349(2): 638-657.

DOI：10.1016/j.jfranklin.2011.07.021

In order to construct the guidance strategy in a realistic nonlinear noise-corrupted interception endgame against a maneuverable target, a linearized zero-sum differential game is considered. Assuming perfect information in this game, sufficient conditions are established, which guarantee that a continuous interception strategy with memory (history-dependent) has the maximal capture zone. Two examples of such a strategy are analyzed: a modified super-twisting second-order sliding mode control and a modified integral sliding mode control. Simulation results of the original nonlinear interception endgame demonstrate that these strategies considerably reduce the chattering created by the classical game optimal bang-bang strategy without deteriorating the homing performance.

• 出版日期2012-3