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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

This paper provides a protocol to address the robust output feedback consensus problem for networked heterogeneous nonlinear negative-imaginary (NI) systems with free body dynamics. We extend the definition of nonlinear NI systems to allow…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

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

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

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 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 consider the output synchronization problem for a network of heterogeneous diffusively-coupled nonlinear agents. Specifically, we show how the (non-identical) agents can be controlled in such a way that their outputs…

Optimization and Control · Mathematics 2013-03-13 A. Isidori , L. Marconi , G. Casadei

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 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 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

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

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

The negative imaginary (NI) systems theory has attracted interests due to the robustness properties of feedback interconnected NI systems. However, a full output optimal controller-synthesis methodology, for such class of systems, is yet to…

Optimization and Control · Mathematics 2022-04-05 Mohamed Mabrok

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

We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

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

In this paper, we present a data-driven output feedback controller for nonlinear systems that achieves practical output regulation, using noise-free input/output measurement data. The proposed controller is based on (i) an inverse model of…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Yeongjun Jang , Hamin Chang , Heein Park , Hyeonyeong Jang , Takashi Tanaka , Hyungbo Shim

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 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 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
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