Incremental passivity and stabilization for switched nonlinear systems. (July 2020)

• Record Type: Journal Article
• Authors: Pang, Hongbo; Li, Chensong
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 42:Number 11(2020)
• Page Start: 2088
• Page End: 2102
• Publication Date: 2020-07
• Subjects: Switched nonlinear systems -- incremental passivity -- recursive feedback incremental passification -- incremental stability; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331220905389
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper studies the problems of incremental passivity, incremental passification and incremental stabilization for a switched nonlinear system. First, an incremental passivity concept for switched nonlinear systems is proposed. Each subsystem is only required to be incrementally passive, when it is active. The energy change of each inactive subsystem is charaterized. Then, a sufficient condition for such a system to be incrementally passive is given. Second, a state-dependent switching law and state feedback controllers are designed to render a system with relative degree one incrementally passive. Third, we show that an incrementally passive switched nonlinear system can be incrementally stabilized under some constraints on the energy change of inactive subsystems. In particular, a recursive feedback incremental passification design technique is adopted to achieve the incremental stability for a switched nonlinear system with any same relative degree by designing a set of feedback controllers and a state-dependent switching law, constructively. Finally, two examples are provided to verify the effectiveness of the proposed theory.