Guidance Law for Impact Time and Angle Control With Control Command Reshaping

Abstract

In this article, a more generalized form of the impact time and angle control guidance law is proposed based on the linear quadratic optimal control methodology. For the purpose on controlling an additional constraint such as the impact time, we introduce an additional state variable that is defined to be the jerk (acceleration rate). Additionally, in order to provide an additional degree of freedom in choosing the guidance gains, the performance index that minimizes the control energy weighted by an arbitrary order of time-to-go is considered in this work. First, the generalized form of the impact angle control guidance law with an additional term which is used for the impact time control is derived. And then, we also determine the additional term in order to achieve the desired impact time. Through numbers of numerical simulations, we investigate the superiority of the proposed guidance law compared to previous guidance laws. In addition, a salvo attack scenario with multiple missile systems is also demonstrated.

Sliding mode control and Lyapunov based guidance law with impact time constraints

“…Based on the concept of time-to-go, Cho and Kim [26] investigated the time-to-go of the pure proportional navigation and considered nonlinear engagement kinematics, then proposed ITCG for intercepting stationary targets. In [27], considering the impact time constraints, Lee proposed ITCG using linear quadratic optimal theory and time-to-go weighted to minimize the control energy. Similar to [27], Ryoo et al [28] presented an ITCG based on solution of time-to-go by using linear quadratic optimal.…”

“…In [27], considering the impact time constraints, Lee proposed ITCG using linear quadratic optimal theory and time-to-go weighted to minimize the control energy. Similar to [27], Ryoo et al [28] presented an ITCG based on solution of time-to-go by using linear quadratic optimal. Different from [26 -28], Snyder and Hull developed an ITCG based on explicit of time-to-go which was deduced using linear dynamic [29].…”