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Stable inverse systems for periodically time-varying plants are essential for feedforward control and iterative learning control of multirate and periodic systems, yet existing approaches either require complex-valued Floquet factors and…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Hiroshi Okajima

This paper addresses a system identification for linear periodically time-varying plants in the discrete-time setting. A system identification algorithm for linear, periodically time-varying plants is introduced based on a cyclic…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Hiroshi Okajima , Yusuke Fujimoto , Hiroshi Oku , Haruto Kondo

This paper introduces a conversion matrix method for linear periodically time-variant (LPTV) digital phase-locked loop (DPLL) phase noise modeling that offers precise and computationally efficient results to enable rapid design iteration…

Signal Processing · Electrical Eng. & Systems 2024-07-01 Hongyu Lu , Patrick P. Mercier

This paper proposes a new methodology in linear time-periodic (LTP) system identification. In contrast to previous methods that totally separate dynamics at different tag times for identification, the method focuses on imposing appropriate…

Systems and Control · Electrical Eng. & Systems 2021-11-10 Mingzhou Yin , Andrea Iannelli , Mohammad Khosravi , Anilkumar Parsi , Roy S. Smith

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

In this paper, we propose an adaptive data-driven min-max model predictive control (MPC) scheme for discrete-time linear time-varying (LTV) systems. We assume that prior knowledge of the system dynamics and bounds on the variations are…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Yifan Xie , Julian Berberich , Frank Allgöwer

Linear, time-varying (LTV) systems composed of time shifts, frequency shifts, and complex amplitude scalings are operators that act on continuous finite-energy waveforms. This paper presents a novel, resource-efficient method for…

Information Theory · Computer Science 2015-06-23 Andrew Harms , Waheed U. Bajwa , Robert Calderbank

We consider the problem of zeroing an error output of a nonlinear discrete-time system in the presence of constant exogenous disturbances, subject to hard convex constraints on the input signal. The design specification is formulated as a…

Optimization and Control · Mathematics 2021-05-07 John W. Simpson-Porco

We present a finite-time framework for identifying stable and unstable linear time-invariant (LTI) systems from a single closed-loop input-output trajectory. The method does not require knowledge of the stabilizing controller, an…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Ahmad Al-Tawaha , Ming Jin , Khaled F. Aljanaideh

Model-based robust control requires not only accurate nominal models but also systematic uncertainty representations to guarantee stability and performance. However, constructing polytopic uncertainty models typically demands multiple…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Hiroshi Okajima , Shun Shirahama , Tatsunori Hayashi , Nobutomo Matsunaga

Discrete-time linear time-varying (LTV) systems form a powerful class of models to approximate complex dynamical systems with nonlinear dynamics for the purpose of analysis, design and control. Motivated by inference of spatio-temporal…

Systems and Control · Computer Science 2018-05-23 Roel Dobbe , Stephan Liu , Ye Yuan , Claire Tomlin

This paper presents a novel approach for the identification of linear time-periodic (LTP) systems in continuous time. This method is based on harmonic modeling and consists in converting any LTP system into an equivalent LTI system with…

Systems and Control · Electrical Eng. & Systems 2024-04-18 Flora Vernerey , Pierre Riedinger , Andrea Iannelli , Jamal Daafouz

This thesis applies Floquet theory to analyze linear periodic time-varying (LPTV) systems, represented by a system of ordinary differential equations (ODEs) that depend on a time variable t and have a matrix of coefficients with period T>0.…

Systems and Control · Electrical Eng. & Systems 2022-02-02 Oren Fivel

Ensuring stability of discrete-time (DT) linear parameter-varying (LPV) input-output (IO) models estimated via system identification methods is a challenging problem as known stability constraints can only be numerically verified, e.g.,…

Systems and Control · Electrical Eng. & Systems 2024-03-13 Johan Kon , Jeroen van de Wijdeven , Dennis Bruijnen , Roland Tóth , Marcel Heertjes , Tom Oomen

The problem of $\mathcal{L}_2$ stabilization of a state feedback stochastic control loop is investigated under different constraints. The discrete time linear time invariant (LTI) open loop plant is chosen to be unstable. The additive white…

Systems and Control · Electrical Eng. & Systems 2024-09-06 Shrija Karmakar , Ritwik Kumar Layek

This work presents a dual system-level parameterization (D-SLP) method for closed-loop system identification. The recent system-level synthesis framework parameterizes all stabilizing controllers via linear constraints on closed-loop…

Optimization and Control · Mathematics 2023-04-06 Amber Srivastava , Mingzhou Yin , Andrea Iannelli , Roy S. Smith

Time-distributed Optimization (TDO) is an approach for reducing the computational burden of Model Predictive Control (MPC). When using TDO, optimization iterations are distributed over time by maintaining a running solution estimate and…

Optimization and Control · Mathematics 2021-02-25 Dominic Liao-McPherson , Terrence Skibik , Jordan Leung , Ilya Kolmanovsky , Marco M. Nicotra

This paper studies the problem of online stabilization of an unknown discrete-time linear time-varying (LTV) system under bounded non-stochastic (potentially adversarial) disturbances. We propose a novel control algorithm based on convex…

Optimization and Control · Mathematics 2023-12-15 Jing Yu , Varun Gupta , Adam Wierman

The article deals with the problem of synthesis of an adaptive observer of state variables of a linear time-varying SISO dynamic system. It is assumed that the control signal and the output variable are measurable. It is assumed that the…

Dynamical Systems · Mathematics 2022-03-30 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Olga Slita , Olga Kozachek

In this paper, we consider the robust closed-loop model predictive control (MPC) of a linear time-variant (LTV) system with norm bounded disturbances and LTV model uncertainty, wherein a series of constrained optimal control problems (OCPs)…

Optimization and Control · Mathematics 2020-06-16 Shaoru Chen , Han Wang , Manfred Morari , Victor M. Preciado , Nikolai Matni
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