Robust controllers design for constrained nonlinear parameter varying descriptor systems

2021 ◽  
Author(s):  
Ines Righi ◽  
Sabrina Aouaouda ◽  
Mohammed Chadli ◽  
Khaled Khelil
Keyword(s):  
Nonlinear Parameter ◽  
Descriptor Systems ◽  
Robust Controllers ◽  
Parameter Varying

scholarly journals Gain-Scheduled Control via Convex Nonlinear Parameter Varying Models

2019 ◽  
Vol 52 (28) ◽  
pp. 70-75 ◽  
Author(s):  
Antonio Sala ◽  
Carlos Ariño ◽  
Ruben Robles
Keyword(s):  
Nonlinear Parameter ◽  
Parameter Varying ◽  
Gain Scheduled

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.

Vehicle sideslip angle estimation using nonlinear parameter-varying observers

2015 ◽  
Author(s):  
Boulaid Boulkroune ◽  
Sebastiaan V. Aalst ◽  
Erwin Rademakers ◽  
Koen Sannen ◽  
Norddin El Ghouti
Keyword(s):  
Nonlinear Parameter ◽  
Sideslip Angle ◽  
Angle Estimation ◽  
Parameter Varying
Sign in / Sign up

Export Citation Format

Share Document