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Transcript
Dzung Du
M.S., Computerized Control System, Kiev Institute of Civil Aviation
Ph.D. candidate, Aeronautics and Astronautics Engineering, Purdue University
Fields of Interests:
Numerical Methods for Optimal Control Problems
Hybrid Systems
Multi-Agent Simulation of the National Airspace System
Approximation of Special Mathematical Functions
Contacts:
Room 337B
Potter Building, Purdue University
West Lafayette, 47906
Email: [email protected]
Office phone: (765)-496-6633
Numerical Methods for Optimal Control Problems: We are developing a computational approach
which is
i)
computationally efficient
ii)
can handle a broad class of optimal control problems.
Switched systems are a very specific class of hybrid systems that consist of several modes (described by
differential equations) and switching laws governing the active mode. So far, we have successfully
applied this method for switched systems (with both internally and externally forced switching). It is our
intent to use the technique to handle more general classes of optimal control problems, like optimal
control with maximax or minimax cost functionals, optimal control processes governed by integral
equations, etc. Also, the multidimensional version of the algorithm could be applied for solving these
PDE like the Hamilton-Jacobi-Bellman PDE (in optimal feedback control), the Hamilton-Jacobi-Isaacs
PDE (in dynamic games and reachability analysis for hybrid control systems).
Multi-Agent Simulation of the Air Traffic Control System: We are developing a agent-based testbed
that called SimUAV. In agent-based simulation, each of the entities in the National Airspace System, like
aircraft, air traffic controller, weather factors, navigation and surveillance systems, communication/datalinks, etc. can be modeled as an agent. The performance of the whole system is created by the captured
interaction among the agents. Our main aim in building the testbed is: the model should be flexible
enough for the purpose of verification and testing of new automation tools and system concepts, such as
conflict detection/resolution algorithms, free flight concepts,…etc.