Synthesis of a pendulous accelerometer feedback controller using linear matrix inequalities and construction of invariant ellipsoids

This paper considers a possibility of improving the pendulous accelerometer control quality parameters. A state-feedback controller based on linear matrix inequalities is synthesized. Invariant ellipsoids for stability zone limitation are found. A linear-quadratic regulator with the quality cost function is based on design parameters. A method of using invariant ellipsoids to determine the quality cost function of the linear-quadratic regulator is considered. The results of the transient process mathematical simulations with specific force 1g for each of the controllers are presented.