大型线性时不变奇摄动系统的燃料最优控制

The Fuel-optimal Control of Large-scale Singularly Perturbed Linear Time-invariant Systems

讨论大型线性时不变奇摄动系统的燃料最优控制，证明这种系统的燃料最优控制问题可化为快、慢子系统的燃料最优控制来解决，并给出这种系统的近乎燃料最优控制的设计方法。

The fuel-optimal control of singularly perturbed linear time-invariant sys-tens is established.The fuel- optinal control of such systems is shown to be separated intotwo time scales related to the slow subsystem and the fast subsystem of the svstems(1),(2).An approximate design method of the fuel-optimal control is given by making use of theseparability of fast and slow control.