摘要：Lorenz systems family unifying Lorenz system, Chen system and L system is a typical chaotic *** this paper, we consider impulsive control Lorenz chaotic systems family with time-varying impulse intervals. Byestablishing an effective tool of a set of inequalities, we analyze the asymptotic stability of impulsive control Lorenzsystems family and obtain some new less conservative conditions. Based on the stability analysis, we design a novelimpulsive controller with time-varying impulse intervals. Illustrative examples are provided to show the feasibility andeffectiveness of our method. The obtained results not only can be used to design impulsive control for Lorenz systemsfamily, but also can be extended to other chaotic systems.

摘要：In this paper an adaptive guidance law based on the characteristic model is designed to track a reference drag acceleration for reentry vehicles like the Shuttle. The characteristic modeling method of linear constant systems is extended for single-input and single-output （SlSO） linear time-varying systems so that the characteristic model can be established for reentry vehicles. A new nonlinear differential golden-section adaptive control law is presented. When the coefficients belong to a bounded closed convex set and their rate of change meets some constraints, the uniformly asymptotic stability of the nonlinear differential golden-section adaptive control system is proved. The tracking control law, the nonlinear differential golden-section control law, and the revised logical integral control law are integrated to design an adaptive guidance law based on the characteristic model. This guidance law overcomes the disadvantage of the feedback linearization method which needs the precise model. Simulation results show that the proposed method has better performance of tracking the reference drag acceleration than the feedback linearizaUon one.