2010 IEEE International Conference on Robotics and Automation 2010
DOI: 10.1109/robot.2010.5509715
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Human-in-the-Loop: Terminal constraint receding horizon control with human inputs

Abstract: This paper presents a control theoretic formulation and optimal control solution for integrating human control inputs subject to linear state constraints. The formulation utilizes a receding horizon optimal controller to update the control effort given the most recent state and human control input information. The novel solution to the corresponding finite horizon optimal control problem with terminal constraint is derived using Hilbert space methods. The control laws are applied to two planar human-driven mas… Show more

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Cited by 15 publications
(12 citation statements)
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“…and the task is modeled by the constraint, x(k + N ) ∈ X f = {x | M x = b}, one can solve P MP C analytically as long as the human input sequences are sufficiently regular. In particular, if the human input sequences belong to the Hilbert space of square-summable sequences 3 (denoted by H), in [19], P MP C was solved as a direct application of Hilbert's Projection Theorem, following the procedure in [27]. In particular, the optimal u opt k at time k is given by…”
Section: Solving the Mpcmentioning
confidence: 99%
See 1 more Smart Citation
“…and the task is modeled by the constraint, x(k + N ) ∈ X f = {x | M x = b}, one can solve P MP C analytically as long as the human input sequences are sufficiently regular. In particular, if the human input sequences belong to the Hilbert space of square-summable sequences 3 (denoted by H), in [19], P MP C was solved as a direct application of Hilbert's Projection Theorem, following the procedure in [27]. In particular, the optimal u opt k at time k is given by…”
Section: Solving the Mpcmentioning
confidence: 99%
“…In this paper, we frame the mixed initiative interaction problem as a model predictive control problem, following the initial work in [19]. The proposed approach makes a distinction between low-level (automatic controller) tasks and high-level (human) tasks, with completion guarantees associated with the low-level tasks without the need for strong assumptions on the human input signals.…”
Section: Introductionmentioning
confidence: 99%
“…In [11], based on the objective of minimizing the human effort, a role adaptation strategy is developed to switch between model-based and model-free predictions in the case of partially known tasks. In [12], [13], the terminal constraint receding horizon control is developed for shared control of human and robot, such that the common goal can be achieved subsequently. A homotopy switching model is developed in [14] for dyad haptic interaction in physical collaborative tasks.…”
Section: Introductionmentioning
confidence: 99%
“…This paradigm has been successfully applied to obtain skills such as ball manipulation [20] with an anthropomorphic robot hand, and balanced inverse kinematics for a humanoid robot [22], and more recently tasks that involve force based policies [21], [25]. It will be fair to say that robotic researchers are becoming increasingly more interested in human-in-the-loop robot control and learning, which provides a platform for both human and robot to learn actively [25][26][27][28].…”
Section: Introductionmentioning
confidence: 99%