Project Grant 2511752
- This National Science Foundation (NSF) Project Grant award under the Engineering program (CFDA 47.041) will fund research at Louisiana State University (LSU) to develop mathematical methods for controlling important classes of dynamical systems used in aerospace engineering. The $100,000 grant, awarded from August 1, 2023 to July 31, 2026, will produce designs and theory for interval contractors and reference governors to address input and state constraints in aerospace systems. The research...
- This Project Grant award of $314,416, provided by the National Science Foundation (NSF) through the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental and applied research across three main areas: elliptic optimal control problems, elliptic problems with rough coefficients, and fully nonlinear elliptic partial differential equations. The research aims to develop computational tools and analyses relevant for applications in fields such as engineering, materials...
- This Project Grant award from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $200,000.00 to Louisiana State University (LSU) to conduct research on learning methods for complex stochastic systems modeled by stochastic differential equations. The 3-year project aims to develop rigorous mathematical results to assess the accuracy of learning algorithms for these types of intricate systems, which have...
- This Project Grant award from the National Science Foundation (NSF) Engineering program (CFDA 47.041) in the amount of $510,000.00 is funding research to develop new theoretical frameworks and data-driven tools for controlling complex, highly diverse populations of interconnected systems. The project, titled "Focused Control of Unfocused Ensemble Systems via Data-Enabled Moment Methods," aims to enable a new class of control architectures that can learn from data and respond in...
- This $315,000 federal Project Grant award from the National Science Foundation's Engineering program (CFDA 47.041) supports the development of new methods to robustly analyze and control large-scale networked systems with uncertain and variable delays. Specifically, the project will combine integral quadratic constraint and partial integral equation frameworks to enable accurate modeling and control of nonlinear systems with known and uncertain delay components. This work has direct applications...
- The National Science Foundation (NSF) Directorate for Engineering (CFDA Program 47.041) awarded a $344,126 Project Grant to the University of Wisconsin System for a 3-year research project focused on developing new mathematical methods and computational tools to enable the use of complex data formats, such as visual and thermal images, for advanced model predictive control (MPC) systems. The key objectives are to: Integrate concepts from control theory, topology, machine learning, and Bayesian...
- This Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $216,296 to Louisiana State University (LSU) from September 1, 2024 to August 31, 2027. The project aims to develop novel approaches and underlying theory for online machine learning, with a focus on applications in biomedical research, finance, cybersecurity, and big data. Key aspects include: Exploring the use of partial differential equations and optimal...
- This National Science Foundation project grant of $361,251 will support research at Louisiana State University from July 1, 2022 to June 30, 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will investigate novel numerical schemes for least squares problems involving elliptic partial differential equations that model steady state problems in science and engineering. This includes developing finite element methods for least squares problems in data fitting...
- The National Science Foundation awarded a $400,000 Project Grant to the University of Washington under the Engineering program (CFDA 47.041) to develop data-guided system-theoretic techniques for control of dynamic systems from August 15, 2022 to July 31, 2025. Specifically, the award will support research to extend the current data-guided control paradigm to nonlinear systems and networked systems through novel data-parameterized analysis and synthesis methods. The research will also examine...
- This $250,000 Project Grant award from the National Science Foundation (NSF) Engineering program (CFDA 47.041) aims to address challenges in stochastic nonlinear control and learning for dynamical systems through a novel "Spectral Dynamic Embedding" approach. Led by the Georgia Tech Research Corporation, the research intends to develop computationally efficient control algorithms suitable for applications in robotics, aerospace, manufacturing, and beyond. The key innovations involve...
This Project Grant award, valued at $225,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Louisiana State University (LSU) for the project "Feedback Control of Data-Driven Control Systems with Time Delays." The project aims to advance mathematical control theory by developing data-driven feedback control methods to ensure desirable behavior in dynamical systems commonly found in engineering and applied sciences, with a focus on mitigating uncertainty and delays in real-world systems, especially in aerospace applications. The research will tackle key mathematical challenges in achieving feedback control goals for data-driven systems with delays, using strategies such as emulation approaches, delay compensation methods, and chain predictors. The theoretical developments will be validated through numerical simulations and applied to aircraft model scenarios. The project also trains PhD students in interdisciplinary research and promotes broader engagement between mathematics and engineering.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $225.0k | 8/5/25 |