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利用矩阵运算公式和极值原理,对时变加权性能指标下的线性二次型跟踪器(LQT)迭代方程进行了理论推导。以F-16飞机为例,利用飞行控制经验构建俯仰速率控制系统线性框图。在MATLAB/Simulink环境下,针对两种时变加权性能指标和一种定常加权性能指标,利用多变量优化算法完成了一个状态点的控制律参数设计,并进行了时域和频域对比分析,初步验证了时变加权LQT设计方法的工程可行性和有效性。
Based on the matrix operation formula and the extremum principle, the linear quadratic tracer (LQT) iterative equation under the time-varying weighting performance index is theoretically deduced. Taking F-16 as an example, a linear block diagram of pitch rate control system is constructed by using flight control experience. Under the environment of MATLAB / Simulink, aiming at two kinds of time-varying weighting performance indexes and one kind of steady weighting weighting performance index, the control parameter design of a state-point is completed by multivariable optimization algorithm, and the time-domain and frequency- The feasibility and validity of the LQT design method are verified.