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This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

Systems and Control · Electrical Eng. & Systems 2021-01-07 Lei Wang , Christopher M. Kellett

A nonovershooting finite-time control design for linear multi-input system is proposed by upgrading a linear (asymptotic) nonovershooting stabilizer to a homogeneous one. Robustness of the safety and stability properties is analyzed using…

Optimization and Control · Mathematics 2023-05-17 Andrey Polyakov , Miroslav Krstic

The recent rapid proliferation of renewable energy is fundamentally changing the dynamic operations of power systems, necessitating new approaches to assess stability for these highly nonlinear systems. In this paper, we prove that…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Maryam Khodabakhshloo , Elizabeth L. Ratnam , Ian R. Petersen

In this paper we analyze a neuromorphic controller, inspired by the leaky integrate-and-fire neuronal model, in closed-loop with a single-input single-output linear time-invariant system. The controller consists of two neuron-like variables…

Systems and Control · Electrical Eng. & Systems 2024-09-11 E. Petri , K. J. A. Scheres , E. Steur , W. P. M. H. Heemels

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

This paper analyzes output feedback control of a class of unknown nonlinear systems in the presence of measurement noise using multiple high-gain observers (MHGO). It is well-known that single high-gain observers (HGO) are not able to…

Optimization and Control · Mathematics 2019-06-04 Kasra Esfandiari , Mehran Shakarami

This paper presents a survey of recent results on the theory of negative imaginary systems. This theory can be applied to the robust control of large flexible structures with colocated force actuators and position sensors.

Systems and Control · Computer Science 2014-01-31 Ian R. Petersen , Alexander Lanzon

In the transition to net zero, it has been suggested that a massive expansion of the electric power grid will be required to support emerging renewable energy zones. In this paper, we propose the use of battery-based feedback control and…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Yijun Chen , Kanghong Shi , Ian R. Petersen , Elizabeth L. Ratnam

This paper develops a cooperative fault-tolerant tracking framework for heterogeneous networked linear systems subject to sensor faults and external disturbances. Each unit employs an augmented $\mathcal{H}_\infty$ observer that jointly…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Moh Kamalul Wafi , Yurid E. Nugraha , Bambang L. Widjiantoro , Katherin Indriawati

This paper addresses the positive synchronization of interconnected systems on undirected graphs. For homogeneous positive systems, a static feedback protocol design is proposed, based on the Linear Regulator problem. The solution to the…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Alba Gurpegui , Mark Jeeninga , Emma Tegling , Anders Rantzer

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

Recently, negative imaginary and counter-clockwise systems have attracted attention as an interesting class of systems, which is well-motivated by applications. In this paper first the formulation and extension of negative imaginary and…

Optimization and Control · Mathematics 2016-03-16 Arjan van der Schaft

Networked control systems (NCSs) are vulnerable to faults and hidden malfunctions in communication channels that can degrade performance or even destabilize the closed loop. Classical metrics in robust control and fault detection typically…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Ruslan Seifullaev , André Teixeira

This paper investigates a new method for consensus in a group of nonlinear complex multi-agent systems using fixed-order non-fragile dynamic output feedback controller, via an LMI approach. The proposed scheme is decentralized in the sense…

Optimization and Control · Mathematics 2015-01-21 Amir Amini , Ali Azarbahram , Mahdi Sojoodi

We develop a Lyapunov-based small-gain theorem for establishing fixed-time input-to-state stability (FxT-ISS) guarantees in interconnected nonlinear dynamical systems. The proposed framework considers interconnections in which each…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Michael Tang , Miroslav Krstic , Jorge Poveda

This paper presents an anti-windup PI controller, using a saturating integrator, for a single-input single-output stable nonlinear plant, whose steady-state input-output map is increasing. We prove that, under reasonable assumptions, there…

Optimization and Control · Mathematics 2021-07-02 Pietro Lorenzetti , George Weiss

We consider nonlinear control systems for which there exist some structural obstacles to the design of classical continuous stabilizing feedback laws. More precisely, it is studied systems for which the backstepping tool for the design of…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

A static non-linear homogeneous feedback for a fixed-time stabilization of a linear time-invariant (LTI) system is designed in such a way that the settling time is assigned exactly to a prescribed constant for all nonzero initial…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Andrey Polyakov , Miroslav Krstic

Closed-loop positivity of feedback interconnections of positive monotone nonlinear systems is investigated. It is shown that an instantaneous gain condition on the open-loop systems which implies feedback well-posedness also guarantees…

Optimization and Control · Mathematics 2015-08-27 Sei Zhen Khong , Corentin Briat , Anders Rantzer

The robust stability problem involves designing a controlled system which remains stable in the presence of modeling uncertainty. In this context, results known as small gain theorems are used to quantify the maximum amount of uncertainty…

Optimization and Control · Mathematics 2026-04-01 Gavin Glenn , Emma J. Reid