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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

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…

Machine Learning · Computer Science 2024-03-25 Nathan P. Lawrence , Philip D. Loewen , Shuyuan Wang , Michael G. Forbes , R. Bhushan Gopaluni

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

A convex parameterization of internally stabilizing controllers is fundamental for many controller synthesis procedures. The celebrated Youla parameterization relies on a doubly-coprime factorization of the system, while the recent…

Optimization and Control · Mathematics 2020-06-01 Yang Zheng , Luca Furieri , Antonis Papachristodoulou , Na Li , Maryam Kamgarpour

Anantharam showed in 1985 the existence of a model in which some stabilizable plants do not have its right-/left-coprime factorizations. In this paper, we give a condition of the nonexistence of the right-/left-coprime factorizations of…

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

This paper is concerned with the coordinate-free approach to control systems. The coordinate-free approach is a factorization approach but does not require the coprime factorizations of the plant. We present two criteria for feedback…

Optimization and Control · Mathematics 2007-05-23 Kazuyoshi Mori , Kenichi Abe

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

The dual Youla method for closed loop identification is known to have several practically important merits. Namely, it provides an accurate plant model irrespective of noise models, and fits inherently to handle unstable plants by using…

Systems and Control · Electrical Eng. & Systems 2020-12-16 Toshiharu Sugie , Ichiro Maruta

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 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

A hierarchical 2DOF (2-degree-of-freedom) structure combining Youla-Kucera (YK) parameterization and model predictive control (MPC) is presented in this paper. The YK parameterization employs the coprime factorization of the nominal system…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Zhiheng Zhao , Hans Henrik Niemann , John Bagterp Jørgensen

It is known that the set of internally stabilizing controller $\mathcal{C}_{\text{stab}}$ is non-convex, but it admits convex characterizations using certain closed-loop maps: a classical result is the Youla parameterization, and two recent…

Optimization and Control · Mathematics 2022-03-16 Yang Zheng , Luca Furieri , Maryam Kamgarpour , Na Li

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

We introduce a novel distributed control architecture for heterogeneous platoons of linear time--invariant autonomous vehicles. Our approach is based on a generalization of the concept of {\em leader--follower} controllers for which we…

Systems and Control · Computer Science 2015-11-02 Serban Sabau , Cristian Oara , Sean Warnick , Ali Jadbabaie

The paper proposes an alternative way to achieve the Internal Model Principle (IMP) in contrast to the standard way, where a model of the signal one wishes to track/reject is directly substituted into the closed-loop. The proposed…

Systems and Control · Electrical Eng. & Systems 2025-05-26 Can Kutlu Yüksel , Tomáš Vyhlídal , Silviu-Iulian Niculescu

Linearization based controllers for incompressible flows have been proven to work in theory and in simulations. To realize such a controller numerically, the infinite dimensional system has to be linearized and discretized. The unavoidable…

Dynamical Systems · Mathematics 2019-11-05 Jan Heiland

Consider that a linear time-invariant (LTI) plant is given and that we wish to design a stabilizing controller for it. Admissible controllers are LTI and must comply with a pre-selected sparsity pattern. The sparsity pattern is assumed to…

Systems and Control · Computer Science 2012-09-07 Serban Sabau , Nuno C. Martins

We have witnessed the emergence of several controller parameterizations and the corresponding synthesis methods, including Youla, system level, input-output, and many other new proposals. Meanwhile, under the same synthesis method, there…

Optimization and Control · Mathematics 2022-02-11 Shih-Hao Tseng

We have witnessed the emergence of several controller parameterizations and the corresponding synthesis methods, including Youla, system level, input-output, and many other new proposals. Meanwhile, under the same synthesis method, there…

Optimization and Control · Mathematics 2022-02-11 Shih-Hao Tseng
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