2023/10/24 by Kanghong Shi, Shi, Kanghong, Nastaran Nikooienejad +5 · 1 citation
Engineering · Physics and Astronomy · #FOS: Electrical engineering #FOS: Mathematics #Force Microscopy Techniques and Applications #Iterative Learning Control Systems #Optimization and Control (math.OC) #Piezoelectric Actuators and Control #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2310.15828
openalex publication_date 2023/10/24 · openalex created_date 2023/10/26 · openalex updated_date 2026/07/28
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 single HIGS of its original form and its two variations, including a multi-HIGS and the serial cascade of two HIGS. A single HIGS is shown to be a nonlinear negative imaginary system, and so is the multi-HIGS and the cascade of two HIGS. We show that these three types of HIGS can be used as controllers to asymptotically stabilize linear NI systems. 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.