Zonotopic fault detection observer for linear parameter‐varying descriptor systems

2019 ◽  
Vol 29 (11) ◽  
pp. 3426-3445 ◽  
Author(s):  
Jitao Li ◽  
Zhenhua Wang ◽  
Yi Shen ◽  
Mickael Rodrigues
Keyword(s):  
Fault Detection ◽  
Descriptor Systems ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Parameter Varying

scholarly journals Robust Filtering for Discrete-Time Linear Parameter-Varying Descriptor Systems

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1871 ◽  
Author(s):  
Carlos Rodriguez ◽  
Karina A. Barbosa ◽  
Daniel Coutinho
Keyword(s):  
Discrete Time ◽  
Filter Design ◽  
Linear Time ◽  
Estimation Error ◽  
Sufficient Conditions ◽  
Descriptor Systems ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Parameter Varying ◽  
Time Linear

This paper deals with robust state estimation for discrete-time, linear parameter varying (LPV) descriptor systems. It is assumed that all the system state-space matrices are affine functions of the uncertain parameters and both the parameters and their variations are bounded functions of time with known minimum and maximum values. First, necessary and sufficient conditions are proposed for admissibility and bounded realness for discrete linear time-varying (DLTV) descriptor systems. Next, two convex optimisation based methods are proposed for designing admissible stationary linear descriptor filters for LPV descriptor systems which ensure a prescribed upper bound on the ℓ2-induced gain from the noise signal to the estimation error regardless of model uncertainties. The proposed filter design results were based on parameter-dependent generalised Lyapunov functions, and full-order, augmented-order and reduced-order filters were considered. Numerical examples are presented to show the effectiveness of the proposed filtering scheme. In particular, the proposed approach was used to estimate the state variables of a controlled horizontal 2-DOF robotic manipulator based on noisy measurements.

scholarly journals Actuator fault detection and isolation on a quadrotor unmanned aerial vehicle modeled as a linear parameter-varying system

2019 ◽  
Vol 52 (9-10) ◽  
pp. 1228-1239 ◽  
Author(s):  
Julio Alberto Guzmán-Rabasa ◽  
Francisco Ronay López-Estrada ◽  
Brian Manuel González-Contreras ◽  
Guillermo Valencia-Palomo ◽  
Mohammed Chadli ◽  
...  
Keyword(s):  
Fault Detection ◽  
Unmanned Aerial Vehicle ◽  
Fault Detection And Diagnosis ◽  
Fault Detection And Isolation ◽  
Actuator Fault ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Aerial Vehicle ◽  
Parameter Varying ◽  
Detection And Diagnosis

This paper presents the design of a fault detection and diagnosis system for a quadrotor unmanned aerial vehicle under partial or total actuator fault. In order to control the quadrotor, the dynamic system is divided in two subsystems driven by the translational and the rotational dynamics, where the rotational subsystem is based on a linear parameter-varying model. A robust linear parameter-varying observer applied to the rotational subsystem is considered to detect actuator faults, which can occur as total failures (loss of a propeller or a motor) or partial faults (degradation). Furthermore, fault diagnosis is done by analyzing the displacements of the roll and pitch angles. Numerical experiments are carried out in order to illustrate the effectiveness of the proposed methodology.

Sign in / Sign up

Export Citation Format

Share Document