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We present an approach to design stabilizing controllers for a set of linear systems without restrictions regarding their modeling order. To this end, the systems are treated as abstract objects in the space of the $\nu$-gap metric. Via a…

Systems and Control · Electrical Eng. & Systems 2020-07-16 Lukas Munser , Arne-Jens Hempel , Grigory Devadze , Stefan Streif

We extend the internal model principle for systems with boundary control and boundary observation, and construct a robust controller for this class of systems. However, as a consequence of the internal model principle, any robust controller…

Optimization and Control · Mathematics 2024-07-16 Jukka-Pekka Humaloja , Mikael Kurula , Lassi Paunonen

We propose a tube-based guaranteed cost model predictive controller considering a homothetic formulation for constrained linear systems subject to multiplicative structured norm-bounded uncertainties. It provides an upper bound to the…

Systems and Control · Electrical Eng. & Systems 2020-12-15 Carlos M. Massera , Marco H. Terra , Denis F. Wolf

In this paper, we present a geometric approach for computing controlled invariant sets for hybrid control systems. While the problem is well studied in the ellipsoidal case, this family is quite conservative for constrained or switched…

Optimization and Control · Mathematics 2021-12-08 Benoît Legat , Raphaël M. Jungers

Development of cloud computing enables to move Big Data in the hybrid cloud services. This requires research of all processing systems and data structures for provide QoS. Due to the fact that there are many bottlenecks requires monitoring…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-20 Evgeniy Pluzhnik , Evgeniy Nikulchev , Simon Payain

An eigenvalue based framework is developed for the H-infinity norm analysis and its norm minimization of coupled systems with time-delays, which are naturally described by delay differential algebraic equations (DDAEs). For these equations…

Systems and Control · Electrical Eng. & Systems 2020-03-30 Suat Gumussoy , Wim Michiels

We propose a new method to obtain feedback controllers of an unknown dynamical system directly from noisy input/state data. The key ingredient of our design is a new matrix S-lemma that will be proven in this paper. We provide both strict…

Optimization and Control · Mathematics 2020-12-10 Henk J. van Waarde , M. Kanat Camlibel , Mehran Mesbahi

Using the normalized B-bases of vector spaces of trigonometric and hyperbolic polynomials of finite order, we specify control point configurations for the exact description of higher dimensional (rational) curves and (hybrid) multivariate…

Numerical Analysis · Mathematics 2014-04-16 Ágoston Róth

This paper presents an intelligent controller for uncertain underactuated nonlinear systems. The adopted approach is based on sliding mode control and enhanced by an artificial neural network to cope with modeling inaccuracies and external…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Josiane Maria de Macedo Fernande , Marcelo Costa Tanaka , Wallace Moreira Bessa , Edwin Kreuzer

In this paper, we propose an approach to controller synthesis for a class of constrained nonlinear systems. It is based on the use of a hybridization, that is a hybrid abstraction of the nonlinear dynamics. This abstraction is defined on a…

Systems and Control · Computer Science 2011-09-13 Antoine Girard , Samuel Martin

This article proposes the design of H-infinity-based robust current controller for single-phase grid-feeding voltage source inverter with an LCL filter. The main objective of the proposed controller is to have good reference tracking,…

Systems and Control · Electrical Eng. & Systems 2020-08-26 Soham Chakraborty , Sourav Patel , Murti V. Salapaka

We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to "intelligent" PID controllers, the tuning of which becomes quite…

Optimization and Control · Mathematics 2009-04-03 Michel Fliess , Cédric Join

Two ways of designing low-order discrete-time (i.e. digital) controls for low-order plant (i.e. process) models are considered in this tutorial. The first polynomial method finds the controller coefficients that place the poles of the…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Hugh Lachlan Kennedy

This paper addresses the problems of stabilization, robust control, and observer design for nonlinear systems. We build upon recently a proposed method based on contraction theory and convex optimization, extending the class of systems to…

Optimization and Control · Mathematics 2014-09-29 Ian R. Manchester , Jean-Jacques E. Slotine

This paper addresses the data-driven structured controller design problem for continuous-time linear time-invariant (LTI) systems. We consider three control objectives, including stabilization, $H_2$ performance, and $H_\infty$ performance.…

Optimization and Control · Mathematics 2026-01-29 Zhaohua Yang , Yuxing Zhong , Ling Shi

A novel control design approach for general nonlinear systems is presented in this paper. The approach is based on the identification of a polynomial model of the system to control and on the on-line inversion of this model. An efficient…

Systems and Control · Computer Science 2014-07-07 C. Novara , M. Milanese

This study proposes a simple controller design approach to achieve a class of robustness, the so-called iso-damping property. The proposed approach can be executed using only one-shot input/output data. An accurate mathematical model of a…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Ansei Yonezawa , Heisei Yonezawa , Shuichi Yahagi , Itsuro Kajiwara

For linear infinite systems the approximate controllability problem by control constraints is considered. Controllability conditions represented via system parameters are obtained. Partial differential control systems and control systems…

solv-int · Physics 2008-02-03 B. Shklyar

In data-driven control, a central question is how to handle noisy data. In this work, we consider the problem of designing a stabilizing controller for an unknown linear system using only a finite set of noisy data collected from the…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Andrea Bisoffi , Claudio De Persis , Pietro Tesi

In this paper, we consider a hierarchical control problem with model uncertainty. Specifically, we consider the following objectives that we would like to accomplish. The first one being of a controllability-type that consists of…

Optimization and Control · Mathematics 2015-10-14 Getachew K. Befekadu , Eduardo L. Pasiliao