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Nonlinear systems can be probed by driving them with two or more pure tones while measuring the intermodulation products of the drive tones in the response. We describe a digital lock-in analyzer which is designed explicitly for this…

Instrumentation and Detectors · Physics 2013-06-11 Erik A. Tholen , Daniel Platz , Daniel Forchheimer , Vivien Schuler , Mats O. Tholen , Carsten Hutter , David B. Haviland

In an open-loop experiment, an input sequence is applied to an unknown linear time-invariant system (in continuous or discrete time) affected also by an unknown-but-bounded disturbance sequence (with an energy or instantaneous bound); the…

Systems and Control · Electrical Eng. & Systems 2022-10-19 Andrea Bisoffi , Claudio De Persis , Pietro Tesi

Nowadays control systems are mostly implemented on digital platforms and, increasingly, over shared communication networks. Reducing resources (processor utilization, network bandwidth, etc.) in such implementations increases the potential…

Optimization and Control · Mathematics 2011-02-04 Manuel Mazo , Adolfo Anta , Paulo Tabuada

This article surveys the System Level Synthesis framework, which presents a novel perspective on constrained robust and optimal controller synthesis for linear systems. We show how SLS shifts the controller synthesis task from the design of…

Optimization and Control · Mathematics 2019-04-04 James Anderson , John C. Doyle , Steven Low , Nikolai Matni

In this work, we study fast time scale dynamic interactions between inverters, synchronous machines, and transmission lines. The overlapping time scales between inverter controls and electromagnetic phenomena idfentified in recent years has…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Gabriel E. Colon-Reyes , Ruth Kravis , Sunash Sharma , Duncan Callaway

In this paper, we study the control properties of a new class of stochastic ensemble systems that consists of families of random variables. These random variables provide an increasingly good approximation of an unknown discrete,…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Nirabhra Mandal , Mohammad Khajenejad , Sonia Martinez

We discuss the scheduling of a set of networked control systems implemented over a shared communication network. Each control loop is described by a linear-time-invariant (LTI) system with an event-triggered implementation. We assume the…

Systems and Control · Computer Science 2016-10-13 Dieky Adzkiya , Manuel Mazo

Local and inter-area oscillations in bulk power systems are typically identified using spatial profiles of poorly damped modes, and they are mitigated via carefully tuned decentralized controllers. In this paper, we employ non-modal tools…

Optimization and Control · Mathematics 2017-05-16 Xiaofan Wu , Florian Dörfler , Mihailo R. Jovanović

This paper developed a novel control approach for the sparse and safe frequency regulation for inverter intensive microgrids (MGs). In the scenario, the inverters and external grids are expected to reach a synchronized desired frequency…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Junhui Zhang , Lizhi Ding , Xiaonan Lu , Wenyuan Tang

In this paper, we study the control of dynamical systems under temporal logic task specifications using gradient-based methods relying on quantitative measures that express the extent to which the tasks are satisfied. A class of controllers…

Systems and Control · Electrical Eng. & Systems 2019-09-06 Peter Varnai , Dimos V. Dimarogonas

One of the ways to satisfy the requirements of ultra-reliable low latency communication for mission critical Machine-type Communications (MTC) applications is to integrate multiple communication interfaces. In order to estimate the…

Information Theory · Computer Science 2016-05-10 Jimmy J. Nielsen , Petar Popovski

Unlike for Linear Time-Invariant (LTI) systems, for nonlinear systems, there exists no general framework for systematic convex controller design which incorporates performance shaping. The Linear Parameter-Varying (LPV) framework sought to…

Systems and Control · Electrical Eng. & Systems 2022-02-09 Patrick J. W. Koelewijn , Roland Tóth , Siep Weiland

This paper proposes a new methodology for design of a stabilizing control law for multi-input linear systems with time-varying, singular gains on the control. The results presented here assume the control gain to satisfy persistence of…

Optimization and Control · Mathematics 2014-10-17 Srikant Sukumar , Maruthi R. Akella

In this paper, low-order models of the frequency and voltage response of mixed-generation, low-inertia systems are presented. These models are unique in their ability to efficiently and accurately model frequency and voltage dynamics…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Marena Trujillo , Amir Sajadi , Jonathan Shaw , Bri-Mathias Hodge

A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during…

Chaotic Dynamics · Physics 2015-07-02 A. V. Makarenko

An interleaving technique is proposed to enhance the throughput of current-mode CMOS discrete time chaotic sources based on the iteration of unidimensional maps. A discussion of the reasons and the advantages offered by the approach is…

Chaotic Dynamics · Physics 2015-07-02 Sergio Callegari , Riccardo Rovatti , Gianluca Setti

Iterative Learning Control (ILC) is useful in spacecraft application for repeated high precision scanning maneuvers. Repetitive Control (RC) produces effective active vibration isolation based on frequency response. This paper considers ILC…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Shuo Liu , Richard W. Longman , Benjamas Panomruttanarug

This paper discusses model order reduction of LTI systems over limited frequency intervals within the framework of balanced truncation. Two new \emph{frequency-dependent balanced truncation} methods were developed, one is \emph{SF-type…

Systems and Control · Computer Science 2016-02-16 Xin Du , Peter Benner

We introduce system norms which assess transient behavior of stable Linear Time-Invariant (LTI) systems. This allows us to address undesired responses to initial conditions, finite resource consumption signals, or persistent perturbations.…

Optimization and Control · Mathematics 2025-09-23 Pierre Apkarian , Dominikus Noll

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