Motivated by practical aerospace applications, deterministic and stochastic dynamic programming and model predictive control (MPC) formulations suitable for counteracting system drift or the effect of large disturbances will be highlighted. In drift counteraction optimal control, the objective is to maximize the time or yield until the system trajectory exits a prescribed set, defined by system safety constraints, operating limits, and/or efficiency requirements. Thus, unlike in the traditional control theory, there are no set points or commands to be tracked but only constraints. Drift counteraction optimal control solutions can be applicable to aerospace systems mission life extension problems including fuel optimal Geostationary Orbit (GEO) station keeping, spacecraft Low Earth Orbit (LEO) maintenance, spacecraft attitude control during failure modes of momentum exchange devices, and aircraft endurance/range maximization. The talk will address dynamic programming (DP)-based and Model predictive control (MPC)-based solutions for drift counteraction. MPC formulations, based on mixed integer or conventional nonlinear/linear programming, can lead to effective solutions for higher order systems than possible with dynamic programming and value iterations-based methods. Furthermore, suitable continuous relaxations of mixed integer linear/nonlinear programming of drift counteraction MPC problem can recover exact solutions. The presentation will cover theory, computations, and potential aerospace applications of drift counteraction optimal control.
Dr. Ilya Kolmanovsky
He received his Ph.D. degree in Aerospace Engineering in 1995, his M.S. degree in Aerospace Engineering in 1993, and his M.A. degree in Mathematics in 1995, all from the University of Michigan, Ann Arbor. He is presently a full professor with tenure in the Department of Aerospace Engineering at the University of Michigan. His research interests are in control theory for systems with state and control constraints, and in control applications to aerospace and automotive systems. Before joining the University of Michigan in January 2010, he was with Ford Research and Advanced Engineering in Dearborn, Michigan for close to 15 years. He is a Fellow of IEEE, an Associate Fellow of AIAA, a recipient of the 2002 Donald P. Eckman Award of the American Automatic Control Council, of 2002 and 2016 IEEE Transactions on Control Systems Technology Outstanding Paper Awards, of SICE Technology Award, and of several awards of Ford Research and Advanced Engineering. He has co-authored over 175 journal articles and over 400 refereed conference papers. He is also an inventor whose record includes 102 granted United States patents.