针对一类具有严格反馈结构形式的不确定非线性系统,研究非光滑鲁棒控制问题。在一定的假设条件下,基于backstepping设计方法,设计鲁棒非光滑控制律,证明闭环系统的鲁棒稳定性。将所得结果应用于飞行器的末制导问题,设计非光滑末制导律,并进行数值仿真研究。仿真结果说明了方法的有效性。
For a class of uncertain nonlinear systems with strict feedback structure, the non-smooth robust control is investigated. Under certain assumptions, robust non-smooth control laws are designed based on the backstepping design approach. The robust stability of the closed-loop systems is proved. The proposed method is applied to the terminal guidance of flight vehicles. Non-smooth terminal guidance laws are designed. The numerical simulation is carried out. The simulation results show the effectiveness of the proposed method.