Bang-bang optimal control for differentially flat systems using mapped pseudospectral method and analytic homotopic approach
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Publication:2835503
DOI10.1002/oca.2232zbMath1353.49044OpenAlexW2258352029MaRDI QIDQ2835503
Weiwei Cai, Yanwei Zhu, Leping Yang
Publication date: 5 December 2016
Published in: Optimal Control Applications and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/oca.2232
Applications of optimal control and differential games (49N90) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15)
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- Motion planning for flat systems using positive B-splines: an LMI approach
- A unified framework for the numerical solution of optimal control problems using pseudospectral methods
- A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
- A modified pseudospectral scheme for accurate solution of Bang-Bang optimal control problems
- Spectral Methods in MATLAB
- Barycentric Lagrange Interpolation
- Flatness and defect of non-linear systems: introductory theory and examples
- An hp‐adaptive pseudospectral method for solving optimal control problems
- Pseudospectral Methods for Optimal Motion Planning of Differentially Flat Systems
- A Pseudospectral Method for the Optimal Control of Constrained Feedback Linearizable Systems
- New smoothing techniques for solving bang–bang optimal control problems—numerical results and statistical interpretation
