Design of Time-constrained Guidance Laws via Virtual Leader Approach

Guidance problems with flight time constraints are considered in this article. A new virtual leader scheme is used for design of guidance laws with little constraints. The core idea of this scheme is to adopt it virtual leader for real missiles to convert a guidance problem with little constraints to a nonlinear tracking problem, thereby making it possible to settle the problem with a variety of control methods. A novel time-constrained guidance (TCG) law, which can control the flight time of missiles to a prescribed time is designed by using the Virtual leader scheme and stability method. The TCG law is a combination of the well-known proportional navigation guidance (PING) law and the feedback of flight little error. What's more, this law is free Of singularities and hence yields better performance in comparison with optimal guidance laws with little constraints. Nonlinear simulations demonstrate the effectiveness of the proposed law.