Discontinuous dynamical systems for fault detection. A unified approach including fractional and integer order dynamics

DOI10.1016/J.MATCOM.2012.09.007OpenAlexW1971182630MaRDI QIDQ2229766

Elio Usai, Alessandro Pisano, Milan R. Rapaić

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2012.09.007

zbMATH Keywords

fault detectionswitched systemsfractional-order systemsnon-smooth dynamicssliding-mode techniques

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Systems theory; control (93-XX)

Related Items (2)

Adaptive robust control of fractional-order systems with matched and mismatched disturbances ⋮ A novel general stability criterion of time-delay fractional-order nonlinear systems based on will deduction method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimality conditions and a solution scheme for fractional optimal control problems
• Sliding mode control: a survey with applications in math
• Computational algorithms for computing the fractional derivatives of functions
• On a distributed derivative model of a viscoelastic body
• Time domain design of fractional differintegrators using least-squares
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On linear systems with a fractional derivation: Introductory theory and examples
• Two direct Tustin discretization methods for fractional-order differentiator/integrator.
• Robust state estimation and fault diagnosis for uncertain hybrid nonlinear systems
• On the multi-input second-order sliding mode control of nonlinear uncertain systems
• Discrete state observability of hybrid systems
• Discretized Fractional Calculus
• A diffusion wave equation with two fractional derivatives of different order
• Sliding order and sliding accuracy in sliding mode control
• Basic problems in stability and design of switched systems
• Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
• Advances in Fractional Calculus
• Finite-time state observation for non-linear uncertain systems via higher-order sliding modes
• Discontinuous dynamical systems
• Hybrid dynamical systems
• Liapunov functions and stability in control theory

This page was built for publication: Discontinuous dynamical systems for fault detection. A unified approach including fractional and integer order dynamics