A Conjugate Unscented Transform-Based Scheme for Optimal Control with Terminal State Constraints Conference Paper

abstract

• In this paper, sparse collocation approach is used to develop optimal feedback control laws for Optimal Control Problems (OCPs) involving the terminal state constraints. The effective collocation process is accomplished by utilizing the recently developed Conjugate Unscented Transformation to provide a minimal set of collocation points. In conjunction with the minimal cubature points, an l1 norm minimization technique is employed to optimally select the appropriate basis functions from a larger complete dictionary of polynomial basis functions. Finite time attitude regulation problem with terminal constraint is considered. Numerical simulations demonstrates the effectiveness of the proposed approach in derving the feedback laws for terminally constrained OCPs.

name of conference

• 2018 Annual American Control Conference (ACC)

authors

• Majji, Manoranjan

published proceedings

• 2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC)

author list (cited authors)

• Mercurio, M., Singla, P., & Majji, M.

citation count

• 1

complete list of authors

• Mercurio, Michael||Singla, Puneet||Majji, Manoranjan

publication date

• June 2018

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... American Control Conference. American Control Conference  Journal

keywords

• Approximation Theory
• Attitude Control
• Collocation Points
• Collocation Process
• Conjugate Unscented Transform Based Scheme
• Conjunction
• Constrained Ocps
• Dictionaries
• Feedback
• Feedback Control
• Finite Time Attitude Regulation Problem
• Interpolation
• L1 Norm Minimization Technique
• Linear Systems
• Mathematical Model
• Minimal Cubature Points
• Minimal Set
• Minimisation
• Numerical Analysis
• Numerical Simulations
• Optimal Control
• Optimal Control Problems
• Optimal Feedback Control Laws
• Polynomial Basis Functions
• Polynomials
• Sparse Collocation Approach
• Terminal State Constraints
• Trajectory
• Transforms

Digital Object Identifier (DOI)

• 10.23919/acc.2018.8431117

start page

• 2651

end page

• 2656

volume

• 00

URL

• http://dx.doi.org/10.23919/acc.2018.8431117