Nonlinear Control with Distributed Delay for the Angular Stabilization of a Rigid Body

• Published in: Vestnik, St. Petersburg University. Mathematics Vol. 55; no. 4; pp. 426 - 433
• Main Authors: Aleksandrov, A. Yu, Tikhonov, A. A.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.12.2022; Springer Nature B.V
• Subjects: Analysis; Angular velocity; Asymptotic properties; Mathematics; Mathematics and Statistics; Mechanics; Motion stability; Nonlinear control; Proportional integral derivative; Rigid structures; Smoothness; Stability analysis; Torque; attitude motion; Lyapunov–Krasovskii functionals; rigid body; stabilization; asymptotic stability

The problem of the angular stabilization of a rigid body with an arbitrary triaxial ellipsoid of inertia is solved. The control strategy is based on a kind of a proportional integral derivative (PID) controller, where the conventional integral element is replaced with a more flexible control option,...