On the convergence of nonlinear optimal control using pseudospectral methods for feedback linearizable systems

DOI10.1002/rnc.1166zbMath1138.49027OpenAlexW2101322491MaRDI QIDQ5435454

Isaac Michael Ross, Fariba Fahroo, Qi Gong, Wei Kang

Publication date: 14 January 2008

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://escholarship.org/uc/item/8k6278mn

zbMATH Keywords

optimal controlpseudospectral methodsfeedback linearizable systems

Mathematics Subject Classification ID

Nonlinear programming (90C30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Discrete approximations in optimal control (49M25)

Related Items (12)

Rate of convergence for the Legendre pseudospectral optimal control of feedback linearizable systems ⋮ Spectral and pseudospectral optimal control over arbitrary grids ⋮ Galerkin optimal control ⋮ A novel approach for the numerical investigation of optimal control problems containing multiple delays ⋮ A pseudospectral method for fractional optimal control problems ⋮ Profit maximization of a power plant ⋮ The Principle of Least Action and Fundamental Solutions of Mass-Spring and N-Body Two-Point Boundary Value Problems ⋮ Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method ⋮ Issues in the real-time computation of optimal control ⋮ Optimal transition maneuvers for a class of V/STOL aircraft ⋮ A Hermite‐Lobatto Pseudospectral Method for Optimal Control ⋮ Algorithms of data generation for deep learning and feedback design: a survey

Uses Software

• DIDO
• OTIS

Cites Work

• Optimization. Algorithms and consistent approximations
• Spectral Methods in MATLAB
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