A new robust guidance design based on L2 gain method

Abstract

For the case of intercepting maneuvering target, A new continuous nonlinear guidance law with robustness is proposed by adopting L2 gian method. The mathematic model was built according to nonlinear kinematics relationship between missile and target whose acceleration as disturbance was introduced. Based on the method of zeroing the rate of line-of-sight angle and zeroing the relative distance, a global nonlinear control strategy was contrived to obtain the continuous nonlinear guidance law. The asymptotic stability of guidance system was strictly proven by Lyapunov stability theory instead of solving the Hamilton-Jacobi-Isaacs partial differential equation, at the same time the relative velocity was not controlled applying the method. Finally an illustrative example is given to show that nonlinear guidance law is more robust and suitable to the missile for intercepting the target with high velocity and high maneuver than proportional navigation law, and the better precision of guidance law is obtained.