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We propose a framework for the design of feedback controllers that combines the optimization-driven and model-free advantages of deep reinforcement learning with the stability guarantees provided by using the Youla-Kucera parameterization…

Systems and Control · Electrical Eng. & Systems 2024-03-27 Nathan P. Lawrence , Philip D. Loewen , Shuyuan Wang , Michael G. Forbes , R. Bhushan Gopaluni

We study parameterizations of stabilizing nonlinear policies for learning-based control. We propose a structure based on a nonlinear version of the Youla-Kucera parameterization combined with robust neural networks such as the recurrent…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Nicholas H. Barbara , Ruigang Wang , Alexandre Megretski , Ian R. Manchester

This paper presents a parameterization of nonlinear controllers for uncertain systems building on a recently developed neural network architecture, called the recurrent equilibrium network (REN), and a nonlinear version of the Youla…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Ruigang Wang , Ian R. Manchester

Designing controllers that simultaneously achieve strong performance and provable closed-loop stability remains a central challenge in control engineering. This work introduces a diffusion-based generative framework for linear controller…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Matteo Cercola , Donatello Materassi , Simone Formentin

We derive a state-space characterization of all dynamic state-feedback controllers that make an equilibrium of a nonlinear input-affine continuous-time system locally exponentially stable. Specifically, any controller obtained as the sum of…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Luca Furieri

Neural networks have demonstrated remarkable success in modeling nonlinear dynamical systems. However, identifying these systems from closed-loop experimental data remains a challenge due to the correlations induced by the feedback loop.…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Mahrokh G. Boroujeni , Laura Meroi , Leonardo Massai , Clara L. Galimberti , Giancarlo Ferrari-Trecate

We present a parameterization of the stabilizing controllers over commutative rings. In the classical case, that is, in the case where there exist the right-/left-coprime factorizations of the given plant, the stabilizing controllers can be…

Optimization and Control · Mathematics 2007-05-23 Kazuyoshi Mori

The complexity of modern control systems necessitates architectures that achieve high performance while ensuring robust stability, particularly for nonlinear systems. In this work, we tackle the challenge of designing output-feedback…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Clara Lucía Galimberti , Luca Furieri , Giancarlo Ferrari-Trecate

This paper proposes a novel input-output parametrization of the set of internally stabilizing output-feedback controllers for linear time-invariant (LTI) systems. Our underlying idea is to directly treat the closed-loop transfer matrices…

Systems and Control · Computer Science 2020-07-14 Luca Furieri , Yang Zheng , Antonis Papachristodoulou , Maryam Kamgarpour

This study investigates a parameterization of all retrofit controllers. Retrofit control can accomplish modular design of control systems, i.e., independent design of subcontrollers only with its corresponding subsystem model in a dynamical…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Hampei Sasahara , Takayuki Ishizaki , Jun-ichi Imura

In this paper, we develop a modular design method of decentralized controllers for linear dynamical network systems, where multiple subcontroller designers aim at individually regulating their local control performance with accessibility…

Systems and Control · Electrical Eng. & Systems 2020-11-11 Takayuki Ishizaki , Hampei Sasahara , Masaki Inoue , Takahiro Kawaguchi , Jun-ichi Imura

This paper is concerned with application of the classical Youla-Ku\v{c}era parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent…

Quantum Physics · Physics 2015-03-10 Arash Kh. Sichani , Ian R. Petersen , Igor G. Vladimirov

Various new implicit parameterizations for stabilizing controllers that allow one to impose structural constraints on the controller have been proposed lately. They are convex but infinite-dimensional, formulated in the frequency domain…

Optimization and Control · Mathematics 2022-04-01 Mauricio C. de Oliveira , Yang Zheng

This paper presents a policy parameterization for learning-based control on nonlinear, partially-observed dynamical systems. The parameterization is based on a nonlinear version of the Youla parameterization and the recently proposed…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Nicholas H. Barbara , Ruigang Wang , Ian R. Manchester

This paper proposes a nonlinear policy architecture for control of partially-observed linear dynamical systems providing built-in closed-loop stability guarantees. The policy is based on a nonlinear version of the Youla parameterization,…

Systems and Control · Electrical Eng. & Systems 2022-06-20 Ruigang Wang , Nicholas H. Barbara , Max Revay , Ian R. Manchester

This paper discusses learning a structured feedback control to obtain sufficient robustness to exogenous inputs for linear dynamic systems with unknown state matrix. The structural constraint on the controller is necessary for many…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Sayak Mukherjee , Thanh Long Vu

Declines in cost and concerns about the environmental impact of traditional generation have boosted the penetration of renewables and non-conventional distributed energy resources into the power grid. The intermittent availability of these…

Systems and Control · Electrical Eng. & Systems 2022-03-10 Priyank Srivastava , Patricia Hidalgo-Gonzalez , Jorge Cortes

This study investigates a parameterization of all output-rectifying retrofit controllers for distributed design of a structured controller. It has been discovered that all retrofit controllers can be characterized as a constrained Youla…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Hampei Sasahara , Takayuki Ishizaki , Jun-ichi Imura

In this paper, we focus on the problem about direct way to design a stable controller for nonlinear system. A framework of learning controller with Lyapunov-based constraint is proposed, which is intended to transform designing and analyis…

Systems and Control · Computer Science 2019-03-11 Me Le , Chi Yanxun , Li Zhiwei , Xu Dongfu , Zhang Yulong

We investigate the important problem of certifying stability of reinforcement learning policies when interconnected with nonlinear dynamical systems. We show that by regulating the input-output gradients of policies, strong guarantees of…

Systems and Control · Computer Science 2018-10-30 Ming Jin , Javad Lavaei
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