no code implementations • 24 Mar 2024 • 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.
no code implementations • 22 Mar 2024 • Kanghong Shi, Ian R. Petersen
We show that a HIGS-based IRC is an NI system.
no code implementations • 5 Feb 2024 • Zeinab Salehi, Yijun Chen, Ian R. Petersen, Elizabeth L. Ratnam, Guodong Shi
We establish a local energy market by defining a competitive equilibrium which balances energy and satisfies voltage constraints within the microgrid for all time.
no code implementations • 9 Dec 2023 • Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
Under some assumptions, asymptotic stability can be guaranteed for the closed-loop interconnection of an NI system and an output strictly negative imaginary system, with one of them having a one step advance.
no code implementations • 12 Nov 2023 • Yijun Chen, Kanghong Shi, Ian R. Petersen, Elizabeth L. Ratnam
By constructing a novel Lur'e-Postnikov-like Lyapunov function, a stability result is developed for the feedback interconnection of a nonlinear negative imaginary system and a nonlinear negative imaginary controller.
no code implementations • 24 Oct 2023 • Kanghong Shi, Nastaran Nikooienejad, Ian R. Petersen, S. O. Reza Moheimani
The results of this paper are then illustrated in a real-world experiment where a 2-DOF microelectromechanical system nanopositioner is stabilized by a multi-HIGS.
no code implementations • 3 Oct 2023 • Yijun Chen, Ian R. Petersen, Elizabeth L. Ratnam
Our approach to frequency and angle control centers on equipping generator buses with large-scale batteries that are controllable on a fast timescale.
no code implementations • 3 Apr 2023 • Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
In this paper, we extend nonlinear negative imaginary (NI) systems theory to switched systems.
no code implementations • 20 Oct 2022 • Zeinab Salehi, Yijun Chen, Elizabeth L. Ratnam, Ian R. Petersen, Guodong Shi
We shape individual preferences through a set of utility functions to guarantee the resource price at a competitive equilibrium remains socially acceptable, i. e., the price is upper-bounded by an affordability threshold.
no code implementations • 10 Sep 2022 • Zeinab Salehi, Yijun Chen, Ian R. Petersen, Elizabeth L. Ratnam, Guodong Shi
By shaping these preferences and proposing a set of utility functions, we can guarantee that the optimal resource price at the competitive equilibrium always remains socially acceptable, i. e., it never violates a given threshold that indicates affordability.
no code implementations • 5 Sep 2022 • Kanghong Shi, Nastaran Nikooienejad, Ian R. Petersen, S. O. Reza Moheimani
We prove that the positive feedback interconnection of a linear negative imaginary (NI) system and a HIGS is asymptotically stable.
no code implementations • 7 Jun 2022 • 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) systems with positive definite storage functions.
no code implementations • 25 Mar 2022 • Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
Roughly speaking, an affine nonlinear system that has a normal form with relative degree less than or equal to two, after possible output transformation, can be rendered nonlinear NI and nonlinear OSNI.
1 code implementation • 4 Mar 2022 • Subhransu S. Bhattacharjee, Ian R. Petersen
In this paper, we propose the Whiplash Inertial Gradient dynamics, a closed-loop optimization method that utilises gradient information, to find the minima of a cost function in finite-dimensional settings.
no code implementations • 27 Sep 2021 • Zeinab Salehi, Yijun Chen, Ian R. Petersen, Elizabeth L. Ratnam, Guodong Shi
This paper considers the problem of shaping agent utility functions in a transactive energy system to ensure the optimal energy price at a competitive equilibrium is always socially acceptable, that is, below a prescribed threshold.
no code implementations • 23 Sep 2021 • 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.
no code implementations • 9 Mar 2021 • 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) system.
no code implementations • 15 Dec 2020 • Igor G. Vladimirov, Ian R. Petersen
The tractability of the moment dynamics is also used for mean square optimal Luenberger observer design in a measurement-based filtering problem for a quasilinear quantum plant, which leads to a Kalman-like quantum filter.
Quantum Physics Systems and Control Systems and Control Optimization and Control 81S22, 81S25, 81P16, 81R15, 93B28, 81Q93, 60G35, 93E11
no code implementations • 30 Nov 2020 • 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.
no code implementations • 23 May 2020 • Kanghong Shi, Igor G. Vladimirov, Ian R. Petersen
Output feedback consensus is proved for a network of identical nonlinear NI plants by investigating the stability of its closed-loop interconnection with a network of linear OSNI controllers.
