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This paper investigates the input-output performance of secondary frequency controllers through the control-theoretic notion of $H_2$ norms. We consider a quadratic objective accounting for the cost of reserve procurement and provide exact…

Optimization and Control · Mathematics 2020-08-03 Bala Kameshwar Poolla , John W. Simpson-Porco , Nima Monshizadeh , Florian Dörfler

This paper studies the problem of output agreement in networks of nonlinear dynamical systems under time-varying disturbances, using dynamic diffusive couplings. Necessary conditions are derived for general networks of nonlinear systems,…

Systems and Control · Computer Science 2013-12-02 Mathias Bürger , Claudio De Persis

This paper addresses a class of (non-)convex optimization problems subject to general convex constraints, which pose significant challenges for traditional methods due to their inherent non-convexity and diversity. Conventional convex…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Xiucheng Wang , Xuan Zhao , Nan Cheng

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

A Multi-hop Control Network consists of a plant where the communication between sensors, actuators and computational units is supported by a (wireless) multi-hop communication network, and data flow is performed using scheduling and routing…

Optimization and Control · Mathematics 2016-11-18 F. Smarra , A. D'Innocenzo , M. D. Di Benedetto

We consider the framework of convex high dimensional stochastic control problems, in which the controls are aggregated in the cost function. As first contribution, we introduce a modified problem, whose optimal control is under some…

Optimization and Control · Mathematics 2023-04-28 Adrien Séguret , Clémence Alasseur , J. Frédéric Bonnans , Antonio De Paola , Nadia Oudjane , Vincenzo Trovato

This paper investigates stable suboptimal H-infinity controllers for a class of single-input single-output time-delay systems. For a given plant and weighting functions, the optimal controller minimizing the mixed sensitivity (and the…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Suat Gumussoy , Hitay Ozbay

We study minimum-variance feedback-control design for a networked control system with retarded dynamics, where inter-agent communication is subject to latency. We prove that such a design can be solved efficiently for circular formations…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Luca Ballotta , Mihailo R. Jovanović , Luca Schenato

Converter-based generators and loads are growing in prevalence on power grids across the globe. The rise of these resources necessitates controllers that handle the power electronic devices' strict current limits without jeopardizing…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Lauren Streitmatter , Trager Joswig-Jones , Baosen Zhang

The paper deals with the H2-norm and associated energy or power measurements for a class of processes known as CSVIU (Control and State Variation Increase Uncertainty). These are system models for which a stochastic process conveys the…

Optimization and Control · Mathematics 2021-06-28 João B. R. do Val , Daniel S. Campos

Systems whose variable are constrained to be positive allow computationally efficient control design. We generalize these results to linear systems which leave a cone invariant. This is a wider class of systems than positive systems. We…

Systems and Control · Electrical Eng. & Systems 2020-01-28 Yu Kawano , Fulvio Forni

In this paper, a deep structured tracking problem is introduced for a large number of decision-makers. The problem is formulated as a linear quadratic deep structured team, where the decision-makers wish to track a global target…

Systems and Control · Electrical Eng. & Systems 2021-10-22 Jalal Arabneydi , Amir G. Aghdam

This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by…

Optimization and Control · Mathematics 2021-03-17 Liudmila Tumash , Carlos Canudas-de-Wit , Maria Laura Delle Monache

This paper deals with the H2 suboptimal output synchronization problem for heterogeneous linear multi-agent systems. Given a multi-agent system with possibly distinct agents and an associated H2 cost functional, the aim is to design output…

Optimization and Control · Mathematics 2020-06-17 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

Large-scale integration of renewables in power systems gives rise to new challenges for keeping synchronization and frequency stability in volatile and uncertain power flow states. To ensure the safety of operation, the system must maintain…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Chao Duan , Pratyush Chakraborty , Takashi Nishikawa , Adilson E. Motter

In this paper, online convex optimization is applied to the problem of controlling linear dynamical systems. An algorithm similar to online gradient descent, which can handle time-varying and unknown cost functions, is proposed. Then,…

Optimization and Control · Mathematics 2021-11-03 Marko Nonhoff , Matthias A. Müller

This text presents an introduction to an emerging paradigm in control of dynamical systems and differentiable reinforcement learning called online nonstochastic control. The new approach applies techniques from online convex optimization…

Machine Learning · Computer Science 2026-04-28 Elad Hazan , Karan Singh

This paper deals with strong structural controllability of structured networks. A structured network is a family of structured systems (called node systems) that are interconnected by means of a structured interconnection law. The node…

Optimization and Control · Mathematics 2020-12-17 J. Jia , B. M. Shali , H. J. van Waarde , M. K. Camlibel , H. L. Trentelman

In this paper, we study a class of finite-time control problems for discrete-time positive linear systems with time-varying state parameters. Although several interesting control problems appearing in population biology, economics, and…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Chengyan Zhao , Masaki Ogura , Kenji Sugimoto

Recent research has shown that supervised learning can be an effective tool for designing optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of these neural network (NN) controllers is still not…

Optimization and Control · Mathematics 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang