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首页> 外文期刊>Transactions of the Japan society for aeronautical and space sciences >A Sliding Mode Control with Optimized Sliding Surface for Aircraft Pitch Axis Control System
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A Sliding Mode Control with Optimized Sliding Surface for Aircraft Pitch Axis Control System

机译：飞机俯仰轴控制系统的优化滑面滑模控制

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摘要

A sliding mode controller with an optimized sliding surface is proposed for an aircraft control system. The quadratic type of performance index for minimizing the angle of attack and the angular rate of the aircraft in the longitudinal motion is used to design the sliding surface. For optimization of the sliding surface, a Hamilton-Jacobi-Bellman (HJB) equation is formulated and it is solved through a numerical algorithm using a Generalized HJB (GHJB) equation and the Galerkin spectral method. The solution of this equation denotes a nonlinear sliding surface, on which the trajectory of the system approximately satisfies the optimality condition. Numerical simulation is performed for a nonlinear aircraft model with an optimized sliding surface and a simple linear sliding surface. The simulation result demonstrates that the proposed controller can be effectively applied to the longitudinal maneuver of an aircraft.
机译：提出了一种具有优化的滑动表面的滑模控制器，用于飞机控制系统。用于使攻角和纵向运动中的航空器角速率最小的二次型性能指标用于设计滑动表面。为了优化滑动表面，制定了Hamilton-Jacobi-Bellman（HJB）方程，并通过使用广义HJB（GHJB）方程和Galerkin谱方法的数值算法对其进行了求解。该方程式的解表示非线性的滑动表面，在该表面上系统的轨迹近似满足最优条件。对具有优化的滑动面和简单的线性滑动面的非线性飞机模型进行了数值模拟。仿真结果表明，所提出的控制器可以有效地应用于飞机的纵向操纵。

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