An anti-saturation guidance law designed by finite-time theory

An anti-saturation guidance law designed by finite-time theory is proposed in this paper, which can solve the problem that system states may be saturated in the guidance process. The sufficient conditions are proposed by means of Differential Linear Matrix Inequalities to guarantee the system both Input-Output Finite-time Stabilization and Finite-Time Boundedness. Then the anti-saturation guidance law design method is presented. While ensuring that the system state is bounded, the method uses a pre-given finite-time interval and pre-given weighted matrix functions to characterize the requirements for the system dynamic characteristics. The simulation results also show that the proposed method can drive the line of sight angular rate near zero in the finite-time interval, while the acceleration does not exceed the physical limitations.