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针对执行机构性能下降或出现故障,提出了对执行机构故障具有完整性且满足H∞扰动衰减指标的状态反馈鲁棒控制设计方法.该方法采用线性矩阵不等式(LMI)方法,分析了圆盘极点指标与H∞指标的相容性,并在相容指标约束下给出了鲁棒H∞控制器存在的充分条件和设计步骤.将鲁棒控制方法应用于卫星姿态控制系统,并进行了数值仿真.结果表明,该方法对卫星姿态控制系统执行机构性能下降或故障状态下具有较好的鲁棒性,能够满足姿态控制要求.
Aiming at the performance degradation or failure of actuator, a robust state feedback control design method is proposed, which is integral to actuator failure and satisfies the H∞ disturbance attenuation criterion. The linear matrix inequality (LMI) Index and H∞ index, and the sufficient conditions and design steps for the existence of robust H∞ controller are given under the constraint of compatibility index. The robust control method is applied to the satellite attitude control system and the numerical value Simulation results show that this method has good robustness to the actuator performance of satellite attitude control system, and can meet the requirements of attitude control.