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 • 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 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 • 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.
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 • 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.
