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Sampled-Data Stabilization With Control Lyapunov Functions via Quadratically Constrained Quadratic Programs | IEEE Journals & Magazine | IEEE Xplore

Sampled-Data Stabilization With Control Lyapunov Functions via Quadratically Constrained Quadratic Programs


Abstract:

Controller design for nonlinear systems with Control Lyapunov Function (CLF) based quadratic programs has recently been successfully applied to a diverse set of difficult...Show More

Abstract:

Controller design for nonlinear systems with Control Lyapunov Function (CLF) based quadratic programs has recently been successfully applied to a diverse set of difficult control tasks. These existing formulations do not address the gap between design with continuous time models and the discrete time sampled implementation of the resulting controllers, often leading to poor performance on hardware platforms. We propose an approach to close this gap by synthesizing sampled-data counterparts to these CLF-based controllers, specified as quadratically constrained quadratic programs (QCQPs). Assuming feedback linearizability and stable zero-dynamics of a system's continuous time model, we derive practical stability guarantees for the resulting sampled-data system. We demonstrate improved performance of the proposed approach over continuous time counterparts in simulation.
Published in: IEEE Control Systems Letters ( Volume: 6)
Page(s): 680 - 685
Date of Publication: 02 June 2021
Electronic ISSN: 2475-1456

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