Stable-by-Design Kinematic Control Based on Optimization

Vinicius Mariano Goncalves, Bruno Vilhena Adorno, Andre Crosnier, Philippe Fraisse

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This article presents a new kinematic control paradigm for redundant robots based on optimization. The general approach takes into account convex objective functions with inequality constraints and a specific equality constraint resulting from a Lyapunov function, which ensures closed-loop stability by design. Furthermore, we tackle an important particular case by using a convex combination of quadratic and l1-norm objective functions, making possible for the designer to choose different degrees of sparseness and smoothness in the control inputs. We provide a pseudoanalytical solution to this optimization problem and validate the approach by controlling the center of mass of the humanoid robot HOAP3.
Original languageEnglish
Pages (from-to)644-656
Number of pages13
JournalIEEE Transactions on Robotics
Issue number3
Early online date20 Jan 2020
Publication statusPublished - 1 Jun 2020


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