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研究一类非线性奇异摄动系统的边界层鲁棒控制问题。该类系统边界层的不确定项不满足一般匹配条件。鲁棒控制器的设计分为伪名义边界层系统和整个边界层系统两步进行。在满足某些条件时,设计的控制器可使该类系统的边界层仍保持渐近稳定特性。将此方法用于中程空地导弹的中制导系统,仿真结果验证了该设计方法的有效性。
A robust boundary layer control problem for a class of nonlinear singularly perturbed systems is studied. The uncertainties in the boundary layer of this kind of system do not satisfy the general matching conditions. Robust controller design is divided into pseudo-nominal boundary layer system and the entire boundary layer system in two steps. When certain conditions are met, the designed controller can keep the boundary layer of this kind of system asymptotically stable. The method is applied to mid-guidance system of medium-range ground-to-air missiles. The simulation results verify the effectiveness of this design method.