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Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method
Open accessAbstract
An algorithm is described to solve multiple-phase optimal control problems using a recently developed numerical method called the Gauss pseudospectral method . The algorithm is well suited for use in modern vectorized programming languages such as FORTRAN 95 and MATLAB. The algorithm discretizes the cost functional and the differential-algebraic equations in each phase of the optimal control problem. The phases are then connected using linkage conditions on the state and time. A large-scale nonlinear programming problem (NLP) arises from the discretization and the significant features of the NLP are described in detail. A particular reusable MATLAB implementation of the algorithm, called GPOPS , is applied to three classical optimal control problems to demonstrate its utility. The algorithm described in this article will provide researchers and engineers a useful software tool and a reference when it is desired to implement the Gauss pseudospectral method in other programming languages.
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Cited by
Zhao, W., Ngoduy, D., Shepherd, S., Liu, R., & Papageorgiou, M. (2018) · Transportation Research Part C: Emerging Technologies · doi:10.1016/j.trc.2018.05.025 · Cited by 357
Scheduling and Planning Framework for Time Delay Integration Imaging by Agile Satellite
Qiu, W., Xu, C., Ren, Z., & Teo, K. L. (2022) · IEEE Transactions on Aerospace and Electronic Systems · doi:10.1109/taes.2021.3098101 · Cited by 26
Metadata
- Authors
- Rao, A. V., Benson, D. A., Darby, C., Patterson, M. A., Francolin, C., Sanders, I., & Huntington, G. T.
- Venue
- ACM Transactions on Mathematical Software
- Published
- 2010-04
- Volume
- 37
- Issue
- 2
- Pages
- 1-39
- ISSN
- 0098-3500 (ISSN-L)
- 1557-7295
- OpenAlex
- W1983639748
- Cited by
- 651
- References
- 0
- FWCI
- 78.07
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method. https://app.cochat.ai/papers/10.1145/1731022.1731032
- The paper
- Rao, A. V., Benson, D. A., Darby, C., Patterson, M. A., Francolin, C., Sanders, I., & Huntington, G. T. (2010). Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method. ACM Transactions on Mathematical Software. https://doi.org/10.1145/1731022.1731032
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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