1. Fault Estimation and Accommodation of Fractional-Order Nonlinear, Switched, and Interconnected Systems
- Author
-
Chencheng Zhang, Bin Jiang, and Hao Yang
- Subjects
Scheme (programming language) ,Lyapunov function ,0209 industrial biotechnology ,Computer science ,Mode (statistics) ,Order (ring theory) ,Value (computer science) ,02 engineering and technology ,Fault (power engineering) ,Topology ,Stability (probability) ,Computer Science Applications ,Human-Computer Interaction ,Nonlinear system ,symbols.namesake ,020901 industrial engineering & automation ,Control and Systems Engineering ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,020201 artificial intelligence & image processing ,Electrical and Electronic Engineering ,computer ,Software ,Information Systems ,computer.programming_language - Abstract
This article discusses the fault estimation (FE) and fault accommodation (FA) methods for fractional-order systems. First, two Lyapunov theorems of input-to-state practical stability are presented for fractional-order systems, based on which an adaptive FE/FA scheme is provided. Such a scheme ensures the faulty system is input-to-state practically stable (ISpS) with respect to estimation errors. Furthermore, new results are extended to fractional-order switched and interconnected systems: for the former, an FE/FA method is proposed which fully reveals the tradeoff between the value of the fractional order, each mode's dynamics, and switching law; for the latter, a cyclic-small-gain theorem of the fractional-order system is given under which both decentralized and distributed FE/FA methods are proposed.
- Published
- 2022