Set-Based State Estimation Approaches for Descriptor Systems

2020 ◽  
pp. 25-56
Author(s):  
Ye Wang
Keyword(s):  
State Estimation ◽  
Descriptor Systems

scholarly journals Set-based state estimation and fault diagnosis of linear discrete-time descriptor systems using constrained zonotopes

2020 ◽  
Vol 53 (2) ◽  
pp. 4291-4296
Author(s):  
Brenner S. Rego ◽  
Davide M. Raimondo ◽  
Guilherme V. Raffo
Keyword(s):  
Fault Diagnosis ◽  
State Estimation ◽  
Discrete Time ◽  
Descriptor Systems

scholarly journals Observer Design for a Class of Nonlinear Descriptor Systems: A Takagi-Sugeno Approach with Unmeasurable Premise Variables

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
J. Soulami ◽  
A. El Assoudi ◽  
M. Essabre ◽  
M. Habibi ◽  
E. El Yaagoubi
Keyword(s):  
Differential Equations ◽  
State Estimation ◽  
Ordinary Differential Equations ◽  
Differential Algebraic Equations ◽  
The State ◽  
Lyapunov Theory ◽  
Observer Design ◽  
Descriptor Systems ◽  
Fuzzy Observer ◽  
Takagi Sugeno

The Takagi-Sugeno (T-S) fuzzy observer for dynamical systems described by ordinary differential equations is widely discussed in the literature. The aim of this paper is to extend this observer design to a class of T-S descriptor systems with unmeasurable premise variables. In practice, the computation of solutions of differential-algebraic equations requires the combination of an ordinary differential equations (ODE) routine together with an optimization algorithm. Therefore, a natural way permitting to estimate the state of such a system is to design a procedure based on a similar numerical algorithm. Beside some numerical difficulties, the drawback of such a method lies in the fact that it is not easy to establish a rigorous proof of the convergence of the observer. The main result of this paper consists in showing that the state estimation problem for a class of T-S descriptor systems can be achieved by using a fuzzy observer having only an ODE structure. The convergence of the state estimation error is studied using the Lyapunov theory and the stability conditions are given in terms of linear matrix inequalities (LMIs). Finally, an application to a model of a heat exchanger pilot process is given to illustrate the performance of the proposed observer.

scholarly journals State Estimation for Polytopic LPV Descriptor Systems: Application to Fault Diagnosis

2009 ◽  
Vol 42 (8) ◽  
pp. 438-443 ◽  
Author(s):  
H. HAMDI ◽  
M. RODRIGUES ◽  
C. MECHMECHE ◽  
D. THEILLIOL ◽  
N. BENHADJ BRAIEK
Keyword(s):  
Fault Diagnosis ◽  
State Estimation ◽  
Descriptor Systems

Fixed-Interval Kalman Smoother for Non-Square Descriptor Systems with Correlated Noise

2012 ◽  
Vol 433-440 ◽  
pp. 3601-3607
Author(s):  
Hang Wei Tian ◽  
Ying Shi
Keyword(s):  
State Estimation ◽  
Discrete Time ◽  
Kalman Filtering ◽  
Stochastic Systems ◽  
Fixed Interval ◽  
Descriptor Systems ◽  
Correlated Noise ◽  
Filtering Theory ◽  
Numerical Examples ◽  
Kalman Smoother

Based on the classical Kalman filtering theory, the state estimation problem is considered for non-square descriptor discrete time stochastic systems. Under Assumptions 1~3, a fixed-Interval Kalman smoother for non-square descriptor systems with correlated noise is given. Some numerical examples illustrate the effectiveness of the proposed algorithm.

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