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We explore the performance of a recursive least-squares algorithm to determine the bandwidth $\omega_{12}$ and the detuning $\Delta\omega$ of a superconducting cavity. We base the simulations on parameters of the ESS double-spoke cavities.…

Accelerator Physics · Physics 2024-01-01 Volker Ziemann

We describe an method that measures the unloaded quality factor $Q_0$, the external quality factor $Q_E$, and the cavity detuning $\Delta\omega$ with a recursive least-squares algorithm. It combines a large number of consecutive…

Accelerator Physics · Physics 2024-03-22 Volker Ziemann

This paper investigates the optimality analysis of the recursive least-squares (RLS) algorithm for autoregressive systems with exogenous inputs (ARX systems). A key challenge in analyzing is managing the potential unboundedness of the…

Optimization and Control · Mathematics 2025-05-27 Xingrui Liu , Jieming Ke , Yanlong Zhao

An analog crystal filter based cavity emulator is modified with reverse biased varactor diodes to provide a tuning range of around 160 Hz. The piezo drive voltage of the resonance controller is used to detune the cavity through the bias…

Accelerator Physics · Physics 2023-11-13 S. Raman , P. Varghese , B. Chase , S. Ahmed , C. Fulz , P. Hanlet , D. Klepec

In quantum computing the decoherence time of the qubits determines the computation time available and this time is very limited when using current hardware. In this paper we minimize the execution time (the depth) for a class of circuits…

Feedback traps use closed-loop control to trap or manipulate small particles and molecules in solution. They have been applied to the measurement of physical and chemical properties of particles and to explore fundamental questions in the…

Instrumentation and Detectors · Physics 2015-04-02 Momčilo Gavrilov , Yonggun Jun , John Bechhoefer

We develop a recursive least square (RLS) type algorithm with a minimax concave penalty (MCP) for adaptive identification of a sparse tap-weight vector that represents a communication channel. The proposed algorithm recursively yields its…

Signal Processing · Electrical Eng. & Systems 2023-04-03 Bowen Li , Suya Wu , Erin E. Tripp , Ali Pezeshki , Vahid Tarokh

We develop a recursive total least-squares (RTLS) algorithm for errors-in-variables system identification utilizing the inverse power method and the dichotomous coordinate-descent (DCD) iterations. The proposed algorithm, called DCD-RTLS,…

Systems and Control · Computer Science 2015-06-22 Reza Arablouei , Kutluyıl Doğançay , Stefan Werner

Enabled by progress in superconducting technology, several continuous wave linear accelerators are foreseen in the next decade. For these machines, it is of crucial importance to track the main cavity parameters, such as the resonator…

Accelerator Physics · Physics 2025-07-11 Bozo Richter , Andrea Bellandi , Julien Branlard , Leon Speidel , Annika Eichler

Real-time identification of electrical equivalent circuit models is a critical requirement in many practical systems, such as batteries and electric motors. Significant work has been done in the past developing different types of algorithms…

Systems and Control · Electrical Eng. & Systems 2021-01-15 Balakumar Balasingam , Krishna Pattipati

This paper introduces a closed-loop frequency analysis tool for reset control systems. To begin with sufficient conditions for the existence of the steady-state response for a closed-loop system with a reset element and driven by periodic…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Ali Ahmadi Dastjerdi , A. Astolfi , Niranjan Saikumar , N. Karbasizadeh , Duarte Valerio , S. Hassan HosseinNia

As the scale of problems and data used for experimental design, signal processing and data assimilation grow, the oft-occuring least squares subproblems are correspondingly growing in size. As the scale of these least squares problems…

Computation · Statistics 2023-02-09 Nathaniel Pritchard , Vivak Patel

We consider the joint problem of system identification and inverse optimal control for discrete-time stochastic Linear Quadratic Regulators. We analyze finite and infinite time horizons in a partially observed setting, where the state is…

Optimization and Control · Mathematics 2025-02-24 Victor Geadah , Juncal Arbelaiz , Harrison Ritz , Nathaniel D. Daw , Jonathan D. Cohen , Jonathan W. Pillow

This paper presents a method for approximating a class of complex transfer function matrices corresponding to physically realizable complex linear quantum systems. The class of linear quantum systems under consideration includes…

Systems and Control · Computer Science 2011-07-29 Ian R. Petersen

This paper presents novel adaptive space-time reduced-rank interference suppression least squares algorithms based on joint iterative optimization of parameter vectors. The proposed space-time reduced-rank scheme consists of a joint…

Information Theory · Computer Science 2013-01-15 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

The goal of a LLRF system is to control an actual RF cavity with beam. While digital simulations have a place, having an analog circuit to stand in for the cavity can be tremendously helpful in validating hardware+firmware+software under…

Accelerator Physics · Physics 2022-10-18 Shreeharshini Dharanesh Murthy , Lawrence Doolittle , Andrew Benwell

We present a novel iterative algorithm for approximating the linear least squares solution with low complexity. After a motivation of the algorithm we discuss the algorithm's properties including its complexity, and we present theoretical…

Data Structures and Algorithms · Computer Science 2016-11-15 Michael Lunglmayr , Christoph Unterrieder , Mario Huemer

The closed-loop stability and infinite-horizon performance of receding-horizon approximations are studied for non-stationary linear-quadratic regulator (LQR) problems. The approach is based on a lifted reformulation of the optimal control…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Jintao Sun , Michael Cantoni

This paper investigates system identification problems with Gaussian inputs and quantized observations under fixed thresholds. By reinterpreting the nonlinear effects induced by quantization as the product of the unknown parameter and an…

Optimization and Control · Mathematics 2025-10-20 Xingrui Liu , Ying Wang , Yanlong Zhao

This work presents a new variation of the commonly used Least Mean Squares Algorithm (LMS) for the identification of sparse signals with an a-priori known sparsity using a hard threshold operator in every iteration. It examines some useful…

Systems and Control · Computer Science 2016-08-04 Lampros Flokas , Petros Maragos
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