Linear Quadratic Regulator Design for an Unpowered, Winged Re-Entry Vehicle

摘要

This report describes the design of an attitude controller for an unpowered,211u001ewinged re-entry vehicle. The decoupling of the symmetric and asymmetric motion 211u001emakes it possible to design two separate controllers, one for the pitch motion 211u001eand one for the lateral motion. The design of the controller, a Linear Quadratic 211u001eRegulator, is based on linearization of the equations of motion and feedback of 211u001ethe attitude and angular rates. The gains appearing in the control laws are 211u001ecomputed by defining a quadratic cost criterion and then solving the matrix 211u001eRiccati equation. Results of the study include the step and ramp response of the 211u001etwo separate controllers and the flight along the nominal trajectory with the 211u001eintegrated controller. The deviations from the nominal trajectory are acceptable, 211u001eso this controller can be used for a detailed sensitivity analysis.