Monique Chyba's main research area concerns the development of geometric methods to solve optimal control problems. One of her central objectives is to understand the role of singular extremals in optimal strategies for nonlinear control systems. More specifically, she has been lately focusing on using differential geometric techniques to exploit in the time optimal problem the particular structure of the Lie algebra formed by the vector fields describing a controlled mechanical system. Her research is oriented towards applications with a special emphasis on the motion planning problem for autonomous underwater vehicles.

Books

• Autonomous Underwater vehicles Ocean Engineering, Special Issue on Autonomous Underwater Vehicles, M. Chyba: Guest Editor, Vol 36/1, pp. 1-132, 2009.
• Singular Trajectories and their Role in Control Theory (with B. Bonnard) Springer-Verlag, Series: Mathematics and Applications: Vol 40, 357 pgs (2003).

Journals and Conferences Proceedings

• (With A. Sanyal)Robust Feedback Tracking of Autonomous Underwater Vehicles with Disturbance Rejection. Proceedings of the American Control Conference (ACC), St Louis, To Appear (2009).
• (With N. Nordkvist, A, Sanyal, S. Singh, R.N. Smith) Robust tracking control of autonomous underwater vehicles in presence of disturbance inputs, . 28th International Conference on Offshore Mechanics and Artic Engineering (OMAE), Hawaii, To Appear (2009)
• Ecoliers et Etudiants : Synergies P´edagogiques. Bulletin SMAI Matapli, Numero 87, pp. 109-120 (2008).
• (With B. Bonnard, D. Sugny) Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case. IEEE Transactions on Automatic Control, Submitted.
• (With R.N. Smith, G.R. Wilkens, C. Catone) A geometrical approach to the motion planning problem for a submerged rigid body. International Journal of Control. To appear (2009).
• (With H. Hairer, G. Vilmart) The role of symplectic integrators in optimal control. Optimal Control Applications and Methods. (doi: 10.1002/oca.855), (2008).
• (With T. Haberkorn, S.B. Singh, R.N. Smith, S.K. Choi) Increasing Underwater Vehicle Autonomy by Reducing Energy Consumption. Ocean Engineering, Special Issues on Autonomous Underwater Vehicles, Vol 36/1, pp. 62-73 (2009).
• (With T. Haberkorn, R.N. Smith, G.R. Wilkens) A Geometric Analysis of Trajectory Design for Underwater Vehicles. Discrete and Continuous Dynamical Systems-B, Volume: 11, Number: 2 (March 2009).
• (With R.N. Smith) A first extension of geometric control theory to underwater vehicles. Proceedings of Navigation Guidance & Control of Underwater Vehicles NGCUV08, 2008.
• (With T. Haberkorn, R.N. Smith, S.K. Choi, G. Marani, C. Mcleod) Efficient Control of an Autonomous Underwater Vehicle while Accounting for Thruster Failure. 7th International Conference on Computer Applications and Information Technology in the Maritime Industries (COMPIT), 2008.
• (With T. Haberkorn, R.N. Smith, S.K. Choi) Autonomous Underwater Vehicles: Development and Implementation of time and Energy Efficient Trajectories. Ship Technology Research, 55/2 (2008), pp.36-48
• (With T. Haberkorn, R.N. Smith, S.K. Choi) Design and implementation of time efficient trajectories for an underwater vehicle. Ocean Engineering, 35/1, pp. 63-76, 2008.