Efficiently Computable Constrained Optimal Feedback Controllers

Y. Chen, L. Roveda and D.J. Braun, Efficiently Computable Constrained Optimal Feedback ControllersIEEE Robotics and Automation Letters, vol. 4, no. 1, pp. 121-128, 2018.

This paper introduces two locally optimal feedback controllers designed for real-time implementation of constrained optimal control. Unlike conventional approaches that require extensive computation or rely on sub-optimal approximations, the proposed controllers can be computed efficiently online while handling nonlinear dynamics, nonlinear costs, and box-constrained control inputs. Their performance is validated through theoretical analysis, simulation, and robot experiments.

Why it matters: Real-time robot control often requires balancing accuracy, efficiency, and robustness under constraints. These controllers make constrained optimal feedback control practical for real-world robots, improving their ability to handle perturbations and modeling errors with low computational cost.