Partial stabilization-based guidance

Partial stability of some guidance dynamic systems with delayed line-of-sight angular rate

“…Here, the acceleration of the target is not zero when the target is maneuverable. The difference of our results with papers [15,16] is that time delay exists in the control term…”

“…In this section, let us give a brief introduction of the guidance dynamic system proposed in [15,16]. Consider a two dimensional missile-target engagement.…”

“…On the other hand, in practice, each state variable of the guidance dynamic systems has a specific behavior and hence stability with respect to all state variables may not be necessary to be considered [15,16].…”

“…Motivated by the researches above, in the paper, we first consider partial stability of a class of the guidance dynamic system proposed in [15,16], and a new nonlinear missile guidance law with delayed line-of-sight (LOS) angular rate is introduced. Then, for a class of simplified guidance dynamic system with delay in LOS rate considered in [13,14], a new stability region is obtained by using the method of Lyapunov-Razumikhin [19].…”

“…In Section 2, a lemma on partial stability of functional differential equations is given based on the method of Lyapunov functionals. Then, in Section 3, the guidance dynamic system proposed in [15,16] is briefly summarized. In Section 4, based on constructing appropriate Lyapunov functionals and the method of Lyapunov functionals [19], partial stability of the guidance dynamic system with delayed missile guidance law is studied, and practical stability criteria for both cases of non-maneuvering target and maneuvering target are obtained.…”