Discrete-time Negative Imaginary Systems from ZOH Sampling

2023/12/09 by Kanghong Shi, Shi, Kanghong, Ian R. Petersen +3
Engineering · #Advanced MEMS and NEMS Technologies #FOS: Electrical engineering #FOS: Mathematics #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.2312.05419

openalex publication_date 2023/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 NI system. 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. In the case of linear systems, we also provide necessary and sufficient frequency-domain and LMI conditions under which the definition is satisfied. Also provided is a simple DC gain condition for the stability results in the linear case.

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