In order to overcome the shortage of traditional gain-scheduling theory that system must vary slowly enough, we acquire the illation of Linear Quadratic Gaussian with Loop Transfer Recovery theory on the recovery of time-varying system outputs in details, and analyze the performance of closed loop, which achieves the procedure of designing controllers for globally fast time-varying non-linear systems.Considering the difficulty of applying LTR theory into practice, we put forward the use of an integral tache to improve the system performance. The poles of controller are constrained in an acceptable domain, and the calculational efficiency is improved, which enhances the feasibility in engineer application.Finally, with considering the height and Mach number as the exogenous variable parameters, we predigest the model of missile dynamics and apply gain-scheduled LTR theory to schedule the exogenous variable parameters, design controllers for a series of feasible missile trajectories, and at last carry out linear and non-linear simulations. With analyzing and comparing simulation results, the validity of LTR theory and feasibility of involving integral tache into controller for application are validated. |