Optimal control of an angular motion of a rigid body during infinite and finite time intervals.

DOI10.1016/S0096-3003(02)00274-6zbMath1041.70022MaRDI QIDQ1408340

A. I. El-Gohary

Publication date: 15 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

perturbationBellman equationasymptotic stabilityEuler's equationsLyapunov-Bellman techniqueoptimal control moments

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Control/observation systems governed by ordinary differential equations (93C15) Stability problems in rigid body dynamics (70E50) Perturbation methods for rigid body dynamics (70E20)

Related Items (10)

Finite-time bounded control for a class of stochastic nonlinear systems with randomly quantized measurements ⋮ Observer-based finite-time \(H_\infty\) control of discrete-time Markovian jump systems ⋮ Observer-based finite-time control of time-delayed jump systems ⋮ On the determinant of quaternionic polynomial matrices and its application to system stability ⋮ Optimal sliding mode controllers for attitude stabilization of flexible spacecraft ⋮ Robust finite-time \(H_{\infty }\) control of singular stochastic systems via static output feedback ⋮ Observer-based finite-time \(H_\infty\) control of singular Markovian jump systems ⋮ Optimal Output Feedback Controllers for Spacecraft Attitude Tracking ⋮ Optimal control of rigid body motion with the help of rotors using stereographic coordinates ⋮ Robust finite-time \(H_\infty\) control for uncertain discrete jump systems with time delay

Cites Work

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• On the stability of an equilibrium position and rotational motion of a gyrostat
• On the control of programmed motion of a rigid body containing moving masses
• On the stability of relative programmed motion of satellite-gyrostat
• On the exponential stability of the permanent rotational motion of a gyrostat
• Hamiltonian adaptive control of spacecraft
• On the stabilization of unstable motions by additional forces when the feedback loop is incomplete

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