A new nonlinear guidance law formulation for proportional navigation guidance
ABSTRACT In this paper, a variable structure control technique using simple adaptation law for upper bounds on norm of uncertainties for a non linear proportional navigation guidance law is proposed. The basic system of non linear equations for proportional navigation guidance are presented as a control problem. The target acceleration is considered as an unknown quantity. A variable structure adaptive control law with mismatched uncertainties is designed. The stability of the proposed controller is then established using Lyapunov function. Simulations are carried out to prove the effectiveness of the new control law under various target maneuvering conditions.
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ABSTRACT: Abstract—The dynamics involving proportional navigation engagement geometry are presented as a system of non linear differential equations. This system of equations forms a control problem where the LOS angle,rate, derivative of LOS rate, miss distance and missile acceleration are considered as states. The controller based on sliding mode control strives to make LOS rate and other states zero. Target acceleration is estimated using disturbance observer. Comparison with existing laws and simulations are carried out to demonstrate efficacy.