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This paper provides a control protocol for the robust output feedback consensus of networked heterogeneous nonlinear negative-imaginary (NI) systems. Heterogeneous nonlinear output strictly negative-imaginary (OSNI) controllers are applied…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Kanghong Shi , Igor G. Vladimirov , Ian R. Petersen

A robust output feedback consensus problem for networked identical nonlinear negative-imaginary (NI) systems is investigated in this paper. Output consensus is achieved by applying identical linear output strictly negative-imaginary (OSNI)…

Systems and Control · Electrical Eng. & Systems 2021-04-09 Kanghong Shi , Igor G. Vladimirov , Ian R. Petersen

In this paper, we investigate the necessary and sufficient conditions under which a class of nonlinear systems are state feedback equivalent to nonlinear negative imaginary (NI) systems with positive definite storage functions. The…

Systems and Control · Electrical Eng. & Systems 2022-06-08 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

This paper provides a state feedback stabilization approach for nonlinear systems of relative degree less than or equal to two by rendering them nonlinear negative imaginary (NI) systems. Conditions are provided under which a nonlinear…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

In this paper, we extend nonlinear negative imaginary (NI) systems theory to switched systems. Switched nonlinear NI systems and switched nonlinear output strictly negative imaginary (OSNI) systems are defined. We show that the…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

This paper establishes absolute stability conditions for nonlinear negative imaginary (NI) systems interconnected with static nonlinear feedback. We first show that the NI property is preserved when the feedback nonlinearity can be…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Kanghong Shi , Ian R. Manchester

Negative imaginary (NI) systems play an important role in the robust control of highly resonant flexible structures. In this paper, a generalized NI system framework is presented. A new NI system definition is given, which allows for…

Optimization and Control · Mathematics 2013-12-03 M. A. Mabrok , A. G. Kallapur , I. R. Petersen , A. Lanzon

Negative imaginary (NI) systems theory is a well-established system theoretic framework for analysis and design of linear-time-invariant (LTI) control systems. In this paper, we aim to generalize negative imaginary systems theory to a class…

Dynamical Systems · Mathematics 2022-01-04 Ahmed G. Ghallab , Ian R. Petersen

In the transition to achieving net zero emissions, it has been suggested that a substantial expansion of electric power grids will be necessary to support emerging renewable energy zones. In this paper, we propose employing battery-based…

Systems and Control · Electrical Eng. & Systems 2024-07-12 Yijun Chen , Kanghong Shi , Ian R. Petersen , Elizabeth L. Ratnam

This work is concerned with interconnected networks with non-identical subsystems. We investigate the output consensus of the network where the dynamics are subject to external disturbance and/or reference input. For a network of…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Yongkang Su , Lanlan Su , Sei Zhen Khong

In this study, we extend the theory of negative imaginary (NI) systems to a nonlinear framework using a frequency-domain approach. The extended notion is completely characterized via a finite-frequency integration over a "kernel function"…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Di Zhao , Chao Chen , Sei Zhen Khong

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

In this technical note, we investigate an optimal output consensus problem for heterogeneous uncertain nonlinear multi-agent systems. The considered agents are described by high-order nonlinear dynamics subject to both static and dynamic…

Optimization and Control · Mathematics 2020-07-21 Yutao Tang , Xinghu Wang

This paper investigates the distributed optimal output consensus problem of heterogeneous linear multi-agent systems over weight-unbalanced directed networks. A novel distributed continuous-time state feedback controller is proposed to…

Optimization and Control · Mathematics 2022-09-02 Jin Zhang , Lu Liu , Haibo Ji , Xinghu Wang

This paper investigates the consensus problem for nonlinear heterogeneous multi-agent systems with limited communication data rate. Each agent is modeled by a higher-order strict-feedback continuous-time system with unknown nonlinearities…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Maopeng Ran , Lihua Xie

This paper investigates the consensus problem of multiple uncertain Lagrangian systems. Due to the discontinuity resulted from the switching topology, achieving consensus in the context of uncertain Lagrangian systems is challenging. We…

Systems and Control · Computer Science 2017-07-13 Hanlei Wang

In this paper, we show that a hybrid integrator-gain system (HIGS) is a nonlinear negative imaginary (NNI) system. We prove that the positive feedback interconnection of a linear negative imaginary (NI) system and a HIGS is asymptotically…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Kanghong Shi , Nastaran Nikooienejad , Ian R. Petersen , S. O. Reza Moheimani

This paper considers a problem of output agreement in heterogeneous networks with dynamics on the nodes as well as on the edges. The control and disturbance signals entering the nodal dynamics are "unmatched" meaning that some nodes are…

Systems and Control · Computer Science 2015-05-26 Nima Monshizadeh , Claudio De Persis

This paper addresses the consensus of a class of uncertain nonlinear fractional-order multi-agent systems (FOMAS). First a fractional non-fragile dynamic output feedback controller is put forward via the output measurements of neighboring…

Optimization and Control · Mathematics 2021-12-14 Elyar Zavary , Pouya Badri , Mahdi Sojoodi

This paper investigates output consensus in heterogeneous dynamical networks within a plug-and-play framework. The networks are interconnected through nonlinear diffusive couplings and operate in the presence of measurement and…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Yongkang Su , Sei Zhen Khong , Lanlan Su
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