Variable structure guidance law design based on two-power reaching law

For the case of intercepting a maneuvering target,a new nonlinear sliding mode guidance law with robustness is proposed.The mathematic model was built according to the nonlinear relationship between missile and target whose acceleration as disturbance was introduced.Based on the method of zeroing the rate of line-of-sight angle,a global variable control strategy was contrived to obtain the nonlinear terminal guidance law by introducing a new two-power reaching law.The stability of guidance system was strictly proven by the Lyapunov stability theory.An illustrative example is given to show that the new guidance law is more robust and suitable to the missile for intercepting the target with high velocity and high maneuver than the proportional navigation law,and the better precision of guidance law is obtained.