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Related papers: Adaptive Robust Control Under Model Uncertainty

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In this paper, we present Lyapunov-based robust and adaptive controllers for the finite time stabilization of a perturbed chain of integrators with bounded uncertainties. The proposed controllers can be designed for integrator chains of any…

Optimization and Control · Mathematics 2013-05-31 Mohamed Harmouche , Salah Laghrouche , Yacine Chitour

Soft robots manufactured with flexible materials can be highly compliant and adaptive to their surroundings, which facilitates their application in areas such as dexterous manipulation and environmental exploration. This paper aims at…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Renjie Ma , Ziyao Qu , Zhijian Hu , Dong Zhao , Marios M. Polycarpou

This paper studies the problem of distributionally robust model predictive control (MPC) using total variation distance ambiguity sets. For a discrete-time linear system with additive disturbances, we provide a conditional value-at-risk…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Anushri Dixit , Mohamadreza Ahmadi , Joel W. Burdick

Time-consistency is an essential requirement in risk sensitive optimal control problems to make rational decisions. An optimization problem is time consistent if its solution policy does not depend on the time sequence of solving the…

Optimization and Control · Mathematics 2015-03-26 Yinlam Chow , Marco Pavone

Combining efficient and safe control for safety-critical systems is challenging. Robust methods may be overly conservative, whereas probabilistic controllers require a trade-off between efficiency and safety. In this work, we propose a…

Systems and Control · Electrical Eng. & Systems 2022-09-16 Tim Brüdigam , Robert Jacumet , Dirk Wollherr , Marion Leibold

This work presents a distributionally robust Kalman filter to address uncertainties in noise covariance matrices and predicted covariance estimates. We adopt a distributionally robust formulation using bicausal optimal transport to…

Optimization and Control · Mathematics 2025-06-18 Bingyan Han

We propose a robust model predictive control (MPC) method for discrete-time linear systems with polytopic model uncertainty and additive disturbances. Optimizing over linear time-varying (LTV) state feedback controllers has been…

Systems and Control · Electrical Eng. & Systems 2023-09-28 Shaoru Chen , Victor M. Preciado , Manfred Morari , Nikolai Matni

This paper presents an uncertainty compensation-based robust adaptive model predictive control (MPC) framework for linear systems with both matched and unmatched nonlinear uncertainties subject to both state and input constraints. In…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Ran Tao , Pan Zhao , Ilya Kolmanovsky , Naira Hovakimyan

In the classical static optimal reinsurance problem, the cost of capital for the insurer's risk exposure determined by a monetary risk measure is minimized over the class of reinsurance treaties represented by increasing Lipschitz retained…

Risk Management · Quantitative Finance 2020-12-18 Alexander Glauner

We consider the adaptive control problem for discrete-time, nonlinear stochastic systems with linearly parameterised uncertainty. Assuming access to a parameterised family of controllers that can stabilise the system in a bounded set within…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

In this paper we consider a broad class of infinite horizon discrete-time optimal control models that involve a nonnegative cost function and an affine mapping in their dynamic programming equation. They include as special cases classical…

Optimization and Control · Mathematics 2017-11-29 Dimitri Bertsekas

In this work, we consider the optimal portfolio selection problem under hard constraints on trading volume amounts when the dynamics of the risky asset returns are governed by a discrete-time approximation of the Markov-modulated geometric…

Portfolio Management · Quantitative Finance 2014-10-07 Vladimir Dombrovskii , Tatyana Obyedko

Model Predictive Control is an extremely effective control method for systems with input and state constraints. Model Predictive Control performance heavily depends on the accuracy of the open-loop prediction. For systems with uncertainty…

Optimization and Control · Mathematics 2022-07-27 Francesco Micheli , John Lygeros

We propose a provably stabilizing and tractable approach for control of constrained linear systems under intermittent observations and unreliable transmissions of control commands. A smart sensor equipped with a Kalman filter is employed…

Optimization and Control · Mathematics 2020-04-14 Prabhat K. Mishra , Debasish Chatterjee , Daniel E. Quevedo

Robots must satisfy safety-critical state and input constraints despite disturbances and model mismatch. We introduce a robust model predictive control (RMPC) formulation that is fast, scalable, and compatible with real-time implementation.…

Optimization and Control · Mathematics 2025-09-24 Antoine P. Leeman , Johannes Köhler , Melanie N. Zeilinger

Robust control problems have significant practical implications since external disturbances can significantly impact the performance of control methods. Existing robust control methods excel at control-affine systems but fail at neural…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Huixuan Cheng , Hanjiang Hu , Changliu Liu

The paper introduces an interactive machine learning mechanism to process the measurements of an uncertain, nonlinear dynamic process and hence advise an actuation strategy in real-time. For concept demonstration, a trajectory-following…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Mohammed Abouheaf , Derek Boase , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan

This paper studies continuous-time stochastic control problems whose controlled states are fully non-Markovian and depend on unknown model parameters. Such problems arise naturally in path-dependent stochastic differential equations,…

Machine Learning · Statistics 2026-05-29 Dorival Leão , Alberto Ohashi , Simone Scotti , Adolfo M. D da Silva

This paper proposes an Adaptive Learning Model Predictive Control strategy for uncertain constrained linear systems performing iterative tasks. The additive uncertainty is modeled as the sum of a bounded process noise and an unknown…

Systems and Control · Computer Science 2018-04-27 Monimoy Bujarbaruah , Xiaojing Zhang , Ugo Rosolia , Francesco Borrelli

In this paper, a stochastic control problem under model uncertainty with general penalty term is studied. Two types of penalties are considered. The first one is of type f-divergence penalty treated in the general framework of a continuous…

Probability · Mathematics 2016-10-11 Wahid Faidi , Anis Matoussi , Mohamed Mnif
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