13 citations · 33 across the 20 of their papers we have counts for
20 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…
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…
Unified Control of Voltage, Frequency and Angle in Electrical Power Systems: A Passivity and Negative-Imaginary based Approach
Yijun Chen, Kanghong Shi, Ian R. Petersen +1
This paper proposes a unified methodology for voltage regulation, frequency synchronization, and rotor angle control in power transmission systems considering a one-axis generator…
Digital control of negative imaginary systems: a discrete-time hybrid integrator-gain system approach
Kanghong Shi, Ian R. Petersen
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…
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…
Discrete-time Negative Imaginary Systems from ZOH Sampling
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
A new definition of discrete-time negative imaginary (NI) systems is provided. This definition characterizes the dissipative property of a zero-order hold sampled continuous-time N…
A Nonlinear Negative Imaginary Systems Framework with Actuator Saturation for Control of Electrical Power Systems
Yijun Chen, Kanghong Shi, Ian R. Petersen +1
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,…
Negative Imaginary Control Using Hybrid Integrator-Gain Systems: Application to MEMS Nanopositioner
Kanghong Shi, Nastaran Nikooienejad, Ian R. Petersen +1
In this paper, we propose a new approach to address the control problem for negative imaginary (NI) systems by using hybrid integrator-gain systems (HIGS). We investigate the singl…
Nonlinear Negative Imaginary Systems with Switching
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 imagina…
A negative imaginary approach to hybrid integrator-gain system control
Kanghong Shi, Nastaran Nikooienejad, Ian R. Petersen +1
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 n…
Negative Imaginary State Feedback Equivalence for a Class of Nonlinear Systems
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
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) sy…
Making Nonlinear Systems Negative Imaginary via State Feedback
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) s…
Necessary and Sufficient Conditions for State Feedback Equivalence to Negative Imaginary Systems
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
In this paper, we present necessary and sufficient conditions under which a linear time-invariant (LTI) system is state feedback equivalent to a negative imaginary (NI) system. Mor…
Negative Imaginary State Feedback Equivalence for Systems of Relative Degree One and Relative Degree Two
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
This paper presents necessary and sufficient conditions under which a linear system of relative degree either one or two is state feedback equivalent to a negative imaginary (NI) s…
Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems with Free Body Motion
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
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…
Robust Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems
Kanghong Shi, Igor G. Vladimirov, Ian R. Petersen
This paper provides a control protocol for the robust output feedback consensus of networked heterogeneous nonlinear negative-imaginary (NI) systems. Heterogeneous nonlinear output…
Robust Output Feedback Consensus for Networked Identical Nonlinear Negative-Imaginary Systems
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…