9 papers
Absolute Stability of Nonlinear Negative Imaginary Systems with Application to Potential Energy Shaping
Kanghong Shi, Ian R. Manchester
This paper establishes absolute stability conditions for nonlinear negative imaginary (NI) systems interconnected with static nonlinear feedback. We first show that the NI property…
Digital Control of Negative Imaginary Systems Using Discrete-Time Multi-HIGS: Application to a Dual-Stage MEMS Force Sensor
Kanghong Shi, Diyako Dadkhah, Ian R. Petersen +1
In this paper, we propose a digital control approach for multi-input multi-output negative imaginary (NI) systems using discrete-time hybrid integrator-gain systems (HIGS) controll…
Negative Imaginary Neural ODEs: Learning to Control Mechanical Systems with Stability Guarantees
Kanghong Shi, Ruigang Wang, Ian R. Manchester
We propose a neural control method to provide guaranteed stabilization for mechanical systems using a novel negative imaginary neural ordinary differential equation (NINODE) contro…
Hybrid integrator-gain system based integral resonant controllers for negative imaginary systems
Kanghong Shi, Ian R. Petersen
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-bas…
On the Stability of Networked Nonlinear Negative Imaginary Systems with Applications to Electrical Power Systems
Yijun Chen, Kanghong Shi, Ian R. Petersen +1
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…
Discrete-time Integral Resonant Control of Negative Imaginary Systems: Application to a High-speed Nanopositioner
Kanghong Shi, Erfan Khodabakhshi, Prosanto Biswas +2
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…