2017/07/30 by Sei Zhen Khong, Khong, Sei Zhen, Ian R. Petersen +3
Engineering · Physics and Astronomy · #Control and Stability of Dynamical Systems #FOS: Electrical engineering #FOS: Mathematics #Force Microscopy Techniques and Applications #Model Reduction and Neural Networks #Optimization and Control (math.OC) #Piezoelectric Actuators and Control #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1707.09602
openalex publication_date 2017/07/30 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
Sufficient and necessary conditions for the stability of positive feedback\ninterconnections of negative imaginary systems are derived via an integral\nquadratic constraint (IQC) approach. The IQC framework accommodates\ndistributed-parameter systems with irrational transfer function\nrepresentations, while generalising existing results in the literature and\nallowing exploitation of flexibility at zero and infinite frequencies to reduce\nconservatism in the analysis. The main results manifest the important property\nthat the negative imaginariness of systems gives rise to a certain form of IQCs\non positive frequencies that are bounded away from zero and infinity. Two\nadditional sets of IQCs on the DC and instantaneous gains of the systems are\nshown to be sufficient and necessary for closed-loop stability along a homotopy\nof systems.\n