Controller design and stability analysis for spinning missiles via tensor product

In this paper, the controller design and stability analysis for the parameters time-varying model of spinning missiles are investigated. A mathematical model for the spinning missile considering the flight parameters varying with time is proposed. Based on tensor product (TP) model transformation for the spinning missile, the parallel distributed compensation (PDC) state feedback controller is designed, and the stability of the controlled system is analyzed with the tool of linear matrix inequalities (LMIs). Numerical simulations with time-varying parameters are conducted to demonstrate the effectiveness of the proposed controller. The given controller can not only guarantee the steady performance but also the decoupling performance between pitch and yaw channels when used in the flight parameters time-varying spinning missiles.