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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

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

Machine Learning · Computer Science 2021-08-13 Benjamin Gravell , Tyler Summers

Optimal state-feedback controllers, capable of changing between different objective functions, are advantageous to systems in which unexpected situations may arise. However, synthesising such controllers, even for a single objective, is a…

Systems and Control · Computer Science 2020-10-13 Christopher Iliffe Sprague , Dario Izzo , Petter Ögren

We study the constrained linear quadratic regulator with unknown dynamics, addressing the tension between safety and exploration in data-driven control techniques. We present a framework which allows for system identification through…

Optimization and Control · Mathematics 2019-07-09 Sarah Dean , Stephen Tu , Nikolai Matni , Benjamin Recht

We propose a simple, practical and intuitive approach to improve the performance of a conventional controller in uncertain environments using deep reinforcement learning while maintaining safe operation. Our approach is motivated by the…

Systems and Control · Electrical Eng. & Systems 2021-10-07 Tom Staessens , Tom Lefebvre , Guillaume Crevecoeur

Autonomous racing presents unique challenges due to its non-linear dynamics, the high speed involved, and the critical need for real-time decision-making under dynamic and unpredictable conditions. Most traditional Reinforcement Learning…

Robotics · Computer Science 2025-05-13 Benedict Hildisch , Edoardo Ghignone , Nicolas Baumann , Cheng Hu , Andrea Carron , Michele Magno

Unlike traditional model-based reinforcement learning approaches that estimate system parameters from data, non-model-based data-driven control learns the optimal policy directly from input-state data without any intermediate model…

Optimization and Control · Mathematics 2026-05-05 Leilei Cui , Zhong-Ping Jiang , Petter N. Kolm , Grégoire G. Macqueron

We propose a compositional approach to synthesize policies for networks of continuous-space stochastic control systems with unknown dynamics using model-free reinforcement learning (RL). The approach is based on implicitly abstracting each…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Abolfazl Lavaei , Mateo Perez , Milad Kazemi , Fabio Somenzi , Sadegh Soudjani , Ashutosh Trivedi , Majid Zamani

We propose a parameterization of a nonlinear dynamic controller based on the recurrent equilibrium network, a generalization of the recurrent neural network. We derive constraints on the parameterization under which the controller…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Neelay Junnarkar , He Yin , Fangda Gu , Murat Arcak , Peter Seiler

One approach to robust control for linear plants with structured uncertainty as well as for linear parameter-varying (LPV) plants (where the controller has on-line access to the varying plant parameters) is through…

Optimization and Control · Mathematics 2008-08-20 J. A. Ball , Q. Fang , G. J. Groenewald , S. ter Horst

Deep reinforcement learning approaches are becoming appealing for the design of nonlinear controllers for voltage control problems, but the lack of stability guarantees hinders their deployment in real-world scenarios. This paper constructs…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Jie Feng , Wenqi Cui , Jorge Cortés , Yuanyuan Shi

This paper describes the design of a robust controller for position control in systems with sandwiched backlash. The backlash, which is nonsmooth and nonlinear, is inevitable in the operation of many systems, but it can have destructive…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Yoav Vered , Stephen J. Elliott

Linear time-periodic (LTP) dynamical systems frequently appear in the modeling of phenomena related to fluid dynamics, electronic circuits, and structural mechanics via linearization centered around known periodic orbits of nonlinear…

Numerical Analysis · Mathematics 2017-06-13 Caleb C. Magruder , Serkan Gugercin , Christopher A. Beattie

This paper investigates the problem of regulating in real time a linear dynamical system to the solution trajectory of a time-varying constrained convex optimization problem. The proposed feedback controller is based on an adaptation of the…

Optimization and Control · Mathematics 2021-09-13 Gianluca Bianchin , Jorge Cortes , Jorge I. Poveda , Emiliano Dall'Anese

Stable inverse systems for periodically time-varying plants are essential for feedforward control and iterative learning control of multirate and periodic systems, yet existing approaches either require complex-valued Floquet factors and…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Hiroshi Okajima

We present a framework for systematically combining data of an unknown linear time-invariant system with prior knowledge on the system matrices or on the uncertainty for robust controller design. Our approach leads to linear matrix…

Systems and Control · Electrical Eng. & Systems 2024-12-04 Julian Berberich , Carsten W. Scherer , Frank Allgöwer

Learning-based approaches, such as reinforcement learning (RL) and imitation learning (IL), have indicated superiority over rule-based approaches in complex urban autonomous driving environments, showing great potential to make intelligent…

Robotics · Computer Science 2022-05-31 Haochen Liu , Zhiyu Huang , Jingda Wu , Chen Lv

Unlike for Linear Time-Invariant (LTI) systems, for nonlinear systems, there exists no general framework for systematic convex controller design which incorporates performance shaping. The Linear Parameter-Varying (LPV) framework sought to…

Systems and Control · Electrical Eng. & Systems 2022-02-09 Patrick J. W. Koelewijn , Roland Tóth , Siep Weiland

We are motivated by the real challenges presented in a human-robot system to develop new designs that are efficient at data level and with performance guarantees such as stability and optimality at systems level. Existing…

Systems and Control · Electrical Eng. & Systems 2021-01-19 Xiang Gao , Jennie Si , Yue Wen , Minhan Li , He , Huang

This paper proposes a novel robust reinforcement learning framework for discrete-time linear systems with model mismatch that may arise from the sim-to-real gap. A key strategy is to invoke advanced techniques from control theory. Using the…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Leilei Cui , Tamer Başar , Zhong-Ping Jiang