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The paper is devoted to a design of a common bounded feedback control steering a system of an arbitrary number of linear oscillators to the equilibrium. At high energies, the control is based on the asymptotic theory of reachable sets of…

Optimization and Control · Mathematics 2015-11-16 Alexander Ovseevich , Aleksey Fedorov

We consider coherent feedback control of quantum transport and focus on the application of simple controllers and the effects of a finite bias voltage. We show that simple single-parameter controllers can give rise to a range of useful…

Mesoscale and Nanoscale Physics · Physics 2017-06-20 Rajpal Thethi , Clive Emary

We compare the performance of proportional-integral-derivative (PID) control, linear model predictive control (LMPC), and nonlinear model predictive control (NMPC) for a physical setup of the quadruple tank system (QTS). We estimate the…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Anders H. D. Andersen , Tobias K. S. Ritschel , Steen Hørsholt , Jakob Kjøbsted Huusom , John Bagterp Jørgensen

The quadratic optimal state feedback (LQR) is one of the most popular designs for linear systems and succeeds via the solution of the algebraic Riccati equation. The situation is different in the case of non-linear systems: the Riccati…

Optimization and Control · Mathematics 2024-01-30 Boris Lohmann , Joscha Bongard

This paper presents three types of sliding mode controllers for a magnetic levitation system. First, a proportional-integral sliding mode controller (PI-SMC) is designed using a new switching surface and a proportional plus power rate…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Pratik Vernekar , Vitthal Bandal

Data-Driven Inversion-Based Control (D$^{2}$-IBC) is a recently introduced control design method for uncertain nonlinear systems, relying on a two degree-of-freedom architecture, with a nonlinear controller and a linear controller running…

Systems and Control · Computer Science 2018-01-30 Carlo Novara , Simone Formentin

An integral extension of state-feedback controllers for linear time-varying plants is proposed, which preserves performance of the nominal controller in the unperturbed case. Similar to time-invariant state feedback with integral action,…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Richard Seeber , Markus Tranninger

In this paper, a modified robust model predictive control scheme is proposed for linear parametric variable (LPV) and hybrid systems based on a quasi-min-max algorithm. Using a new cost function resulted in reduced unwanted disturbances…

Systems and Control · Electrical Eng. & Systems 2023-11-30 Soroush Sadeghnejad , Farshad Khadivar , Mojtaba Esfandiari , Golchehr Amirkhani , Hamed Moradi , Farzam Farahmand , Gholamreza Vossoughi

This paper proposes an output feedback controller capable of ensuring steady-state offset-free tracking for ramp and sinusoidal reference signals while ensuring local stability and state and input constraints fulfillment. The proposed…

Optimization and Control · Mathematics 2024-03-18 Geovana Franca dos Santos , Eugenio B. Castelan , Walter Lucia

This paper considers a power transmission network characterized by interconnected nonlinear swing dynamics on generator buses. At the steady state, frequencies across different buses synchronize to a common nominal value such as $50$Hz or…

Systems and Control · Electrical Eng. & Systems 2023-10-04 Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam

We consider the static output feedback control for Linear Quadratic Regulator problems with structured constraints under the assumption that system parameters are unknown. To solve the problem in the model free setting, we propose the…

Optimization and Control · Mathematics 2023-03-21 Shokichi Takakura , Kazuhiro Sato

The increasing integration of power electronic devices is driving the development of more advanced tools and methods for the modeling, analysis, and control of modern power systems to cope with the different time-scale oscillations. In this…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Umberto Biccari , Noboru Sakamoto , Eneko Unamuno , Danel Madariaga , Enrique Zuazua , Jon Andoni Barrena

Control of wire-borne underactuated brachiating robots requires a robust feedback control design that can deal with dynamic uncertainties, actuator constraints and unmeasurable states. In this paper, we develop a robust feedback control for…

Robotics · Computer Science 2023-08-15 Siavash Farzan , Ai-Ping Hu , Michael Bick , Jonathan Rogers

An adaptive funnel control method is considered for the regulation of the output for a class of nonlinear infinite-dimensional systems on real Hilbert spaces. After a decomposition of the state space and some change of variables related to…

Optimization and Control · Mathematics 2022-04-06 Anthony Hastir , Joseph J. Winkin , Denis Dochain

A method is presented for solving the discrete-time finite-horizon Linear Quadratic Regulator (LQR) problem subject to auxiliary linear equality constraints, such as fixed end-point constraints. The method explicitly determines an affine…

Systems and Control · Computer Science 2018-09-18 Forrest Laine , Claire Tomlin

In this paper, we present a novel control scheme for feedback optimization. That is, we propose a discrete-time controller that can steer the steady state of a physical plant to the solution of a constrained optimization problem without…

Systems and Control · Electrical Eng. & Systems 2020-07-09 Verena Häberle , Adrian Hauswirth , Lukas Ortmann , Saverio Bolognani , Florian Dörfler

The control of constrained systems using model predictive control (MPC) becomes more challenging when full state information is not available and when the nominal system model and measurements are corrupted by noise. Since these conditions…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Joseph Lorenzetti , Marco Pavone

We address H-infinity structured static state feedback and give a simple form for an optimal control law applicable to linear time invariant systems with symmetric and Hurwitz state matrix. More specifically, the control law as well as the…

Optimization and Control · Mathematics 2015-10-02 Carolina Lidström , Anders Rantzer

We present a formulation of feedback in quantum systems in which the best estimates of the dynamical variables are obtained continuously from the measurement record, and fed back to control the system. We apply this method to the problem of…

Quantum Physics · Physics 2009-10-31 A. C. Doherty , K. Jacobs

This paper introduces a new approach for output feedback stabilization of SISO systems which, unlike most of the techniques found in the literature, does not use high-gain observers and control input saturation to achieve separation between…

Optimization and Control · Mathematics 2007-05-23 Manfredi Maggiore , Kevin Passino