Optimal Control of Rigid Body Angular Velocity with Quadratic Cost

P. Tsiotras, M. Corless and M. Rotea
Additional contact information
P. Tsiotras: University of Virginia
M. Corless: Purdue University
M. Rotea: Purdue University

Journal of Optimization Theory and Applications, 1998, vol. 96, issue 3, No 2, 507-532

Abstract: Abstract In this paper, we consider the problem of obtaining optimal controllers which minimize a quadratic cost function for the rotational motion of a rigid body. We are not concerned with the attitude of the body and consider only the evolution of the angular velocity as described by the Euler equations. We obtain conditions which guarantee the existence of linear stabilizing optimal and suboptimal controllers. These controllers have a very simple structure.

Keywords: Rigid bodies; Hamilton–Jacobi equation; Riccati equation; optimal control (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1022656326640

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