Rate of convergence for the Legendre pseudospectral optimal control of feedback linearizable systems

DOI10.1007/s11768-010-9104-0zbMath1240.49048arXiv0904.0833OpenAlexW2109188944MaRDI QIDQ3170353

Wei Kang

Publication date: 29 September 2011

Published in: Journal of Control Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0833

zbMATH Keywords

convergencepseudospectral methodcomputational optimal control

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10)

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Uses Software

• DIDO
• OTIS

Cites Work

• Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control
• Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems
• Optimization. Algorithms and consistent approximations
• Runge-Kutta methods in optimal control and the transformed adjoint system
• Spectral Methods for Time-Dependent Problems
• Pseudospectral Optimal Control and Its Convergence Theorems
• Survey of Numerical Methods for Trajectory Optimization
• The Euler approximation in state constrained optimal control
• A Pseudospectral Method for the Optimal Control of Constrained Feedback Linearizable Systems
• On the convergence of nonlinear optimal control using pseudospectral methods for feedback linearizable systems
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