Optimal controller based servo system design for the thrust vector control of liquid propellant engine of three stage launch vehicle

Thrust Vector Control (TVC) Actuation System gimbals the rocket nozzle that provides precise steering for the launch vehicle. A small rotation of the gimbal is sufficient for generating a significant amount of force or thrust at the gimbal point. The force generated via TVC actuation system stabilizes and steers the vehicle in the required direction to overcome the wind-gust disturbances and balance the aerodynamic movements. The State space model of the linear actuator is considered for the servo system design. The Linear Quadratic Regulator (LQR) is an optimal method in modern control theory that uses state-space technique to analyze or scrutinize the servo systems. The system can be stabilized, using full state feedback under the assumption that all state variables are measurable and are available for feedback. This technique nearly eliminates the trial and error complexity of conventional compensator based design methodology for the TVC actuation systems.