Digital control of negative imaginary systems: a discrete-time hybrid integrator-gain system approach
K Shi, IR Petersen - arXiv preprint arXiv:2403.16046, 2024 - arxiv.org
A hybrid integrator-gain system (HIGS) is a control element that switches between an
integrator and a gain, which overcomes some inherent limitations of linear controllers. In this …
integrator and a gain, which overcomes some inherent limitations of linear controllers. In this …
Discrete-time Integral Resonant Control of Negative Imaginary Systems: Application to a High-speed Nanopositioner
We propose a discrete-time integral resonant control (IRC) approach for negative imaginary
(NI) systems, which overcomes several limitations of continuous-time IRC. We show that a …
(NI) systems, which overcomes several limitations of continuous-time IRC. We show that a …
Hybrid integrator-gain system based integral resonant controllers for negative imaginary systems
K Shi, IR Petersen - arXiv preprint arXiv:2403.15140, 2024 - arxiv.org
We introduce a hybrid control system called a hybrid integrator-gain system (HIGS) based
integral resonant controller (IRC) to stabilize negative imaginary (NI) systems. A HIGS-based …
integral resonant controller (IRC) to stabilize negative imaginary (NI) systems. A HIGS-based …
Unified Control of Voltage, Frequency and Angle in Electrical Power Systems: A Passivity and Negative-Imaginary based Approach
This paper proposes a unified methodology for voltage regulation, frequency
synchronization, and rotor angle control in power transmission systems considering a one …
synchronization, and rotor angle control in power transmission systems considering a one …
On the Stability of Networked Nonlinear Imaginary Systems with Applications to Electrical Power Systems
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 …
expansion of electric power grids will be necessary to support emerging renewable energy …
On the stability of networked nonlinear negative imaginary systems with applications to electrical power systems
Y Chen, K Shi, IR Petersen, EL Ratnam - IFAC-PapersOnLine, 2024 - Elsevier
In this paper, we propose employing battery-based feedback control and nonlinear negative
imaginary (NI) systems theory to reduce the need for such expansion. By formulating a novel …
imaginary (NI) systems theory to reduce the need for such expansion. By formulating a novel …