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This paper introduces a dual input-output parameterization (dual IOP) for the identification of linear time-invariant systems from closed-loop data. It draws inspiration from the recent input-output parameterization developed to synthesize…

Optimization and Control · Mathematics 2023-11-16 Ran Chen , Amber Srivastava , Mingzhou Yin , Roy S. Smith

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

In decentralized control problems, a standard approach is to specify the set of allowable decentralized controllers as a closed subspace of linear operators. This then induces a corresponding set of Youla parameters. Previous work has shown…

Systems and Control · Computer Science 2014-01-29 Laurent Lessard , Sanjay Lall

A state space based design method is given to find strongly stabilizing controllers for multiple-input-multiple-output plants (MIMO). A sufficient condition is derived for the existence of suboptimal stable H-infinity controller in terms of…

Systems and Control · Electrical Eng. & Systems 2020-03-13 Suat Gumussoy , Hitay Ozbay

The internal model principle is a fundamental result stating a necessary and sufficient condition for a stabilizing controller to be robustly regulating. Its classical formulation is given in terms of coprime factorizations and the largest…

Optimization and Control · Mathematics 2020-05-25 Petteri Laakkonen

As the benchmark of data-driven control methods, the linear quadratic regulator (LQR) problem has gained significant attention. A growing trend is direct LQR design, which finds the optimal LQR gain directly from raw data and bypassing…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Feiran Zhao , Alessandro Chiuso , Florian Dörfler

This paper presents a numerically robust approach to multi-band disturbance rejection using an iterative Youla-Kucera parameterization technique. The proposed method offers precise control over shaping the frequency response of a feedback…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Xiaohai Hu , Jason Laks , Guoxiao Guo , Xu Chen

The paper studies digital redesign of linear time-invariant analog controllers under intermittent sampling. The sampling pattern is only assumed to be uniformly bounded, but otherwise irregular and unknown a priori. The contribution of the…

Optimization and Control · Mathematics 2016-03-10 Leonid Mirkin

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

The stabilizer formalism is a scheme, generalizing well-known techniques developed by Gottesman [quant-ph/9705052] in the case of qubits, to efficiently simulate a class of transformations ("stabilizer circuits", which include the quantum…

Quantum Physics · Physics 2023-03-20 Niel de Beaudrap

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

The paper considers pseudo-differential boundary value control systems. The underlying operators form an algebra D with the help of which we are able to formulate typical boundary value control problems. The symbolic calculus gives tools to…

Analysis of PDEs · Mathematics 2007-05-23 Jouko Tervo , Markku Nihtilä , Petri Kokkonen

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 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

It is widely recognized that the existing parameter estimators and adaptive controllers for robot manipulators are extremely complicated to be of practical use. This is mainly due to the fact that the existing parameterization includes the…

Dynamical Systems · Mathematics 2021-06-16 Jose Guadalupe Romero , Romeo Ortega , Alexey Bobtsov

In this technical communique, we develop a graphical design procedure for reset controllers for unstable LTI plants based on recent developments on Scaled Relative Graph analysis, yielding an $L_2$-gain performance bound. The stabilizing…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Julius P. J. Krebbekx , Roland Tóth , Amritam Das

This paper addresses the end-to-end sample complexity bound for learning in closed loop the state estimator-based robust H2 controller for an unknown (possibly unstable) Linear Time Invariant (LTI) system, when given a fixed state-feedback…

Systems and Control · Electrical Eng. & Systems 2022-12-23 Yifei Zhang , Sourav Kumar Ukil , Andrei Sperila , Serban Sabau

Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback…

Optimization and Control · Mathematics 2021-06-03 Francesco Ferrante , Fabrizio Dabbene , Chiara Ravazzi

We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was…

Optimization and Control · Mathematics 2022-08-18 John W. Simpson-Porco

We study the notion of structured realizability for linear systems defined over graphs. A stabilizable and detectable realization is structured if the state-space matrices inherit the sparsity pattern of the adjacency matrix of the…

Systems and Control · Computer Science 2012-12-11 Laurent Lessard , Maxim Kristalny , Anders Rantzer