多变量模型参考自适应控制及在飞行控制中的应用

讨论了多变量模型参考自适应控制及其在飞行控制中的应用问题.针对相对阶任意的多输入多输出线性时不变系统,提出了一种模型参考自适应控制方案.基于SDU分解,仅要求高频增益矩阵的顺序主子式的符号已知,从而放宽了对高频增益矩阵的限制.通过构造合适的Lyapunov函数,证明了闭环系统的全局稳定性和跟踪误差的渐进收敛性.将所提方案应用到了飞行控制系统,仿真结果验证了所提方案的有效性.

Multivariable model reference adaptive control with application to flight control

The problem of multivariable model reference adaptive control and its application to flight control were discussed. A model reference adaptive control scheme was proposed for multivariable linear time-invariant systems with arbitrary relative degrees. Based on the SDU factorization, it is only required that the signs of the leading principal minors of the high frequency gain matrix are known, which considerably relaxes the restrictions on the high frequency gain matrix. By constructing a proper Lyapunov function, it is proved that the closed-loop system is globally stable and the tracking error converges to zero asymptotically. The proposed scheme is illustrated to be effective though an application to a flight control problem.