Robust Output-Feedback MPC for Nonlinear Systems with Applications to Robotic Exploration

Fuente: arXiv
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Auteurs principaux: Brown, Scott, Khajenejad, Mohammad, Suresh, Aamodh, Martinez, Sonia
Format: Preprint
Publié: 2025
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author Brown, Scott
Khajenejad, Mohammad
Suresh, Aamodh
Martinez, Sonia
author_facet Brown, Scott
Khajenejad, Mohammad
Suresh, Aamodh
Martinez, Sonia
contents This paper introduces a novel method for robust output-feedback model predictive control (MPC) for a class of nonlinear discrete-time systems. We propose a novel interval-valued predictor which, given an initial estimate of the state, produces intervals which are guaranteed to contain the future trajectory of the system. By parameterizing the control input with an initial stabilizing feedback term, we are able to reduce the width of the predicted state intervals compared to existing methods. We demonstrate this through a numerical comparison where we show that our controller performs better in the presence of large amounts of noise. Finally, we present a simulation study of a robot navigation scenario, where we incorporate a time-varying entropy term into the cost function in order to autonomously explore an uncertain area.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09768
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Robust Output-Feedback MPC for Nonlinear Systems with Applications to Robotic Exploration
Brown, Scott
Khajenejad, Mohammad
Suresh, Aamodh
Martinez, Sonia
Systems and Control
This paper introduces a novel method for robust output-feedback model predictive control (MPC) for a class of nonlinear discrete-time systems. We propose a novel interval-valued predictor which, given an initial estimate of the state, produces intervals which are guaranteed to contain the future trajectory of the system. By parameterizing the control input with an initial stabilizing feedback term, we are able to reduce the width of the predicted state intervals compared to existing methods. We demonstrate this through a numerical comparison where we show that our controller performs better in the presence of large amounts of noise. Finally, we present a simulation study of a robot navigation scenario, where we incorporate a time-varying entropy term into the cost function in order to autonomously explore an uncertain area.
title Robust Output-Feedback MPC for Nonlinear Systems with Applications to Robotic Exploration
topic Systems and Control
url https://arxiv.org/abs/2504.09768