Robust centralized and integrated covariance intersection fusion Kalman estimators for networked mixed‐uncertain systems

2020 ◽  
Vol 30 (15) ◽  
pp. 6298-6329
Author(s):  
Chenjian Ran ◽  
Zili Deng
Keyword(s):  
Uncertain Systems ◽  
Covariance Intersection ◽  
Integrated Covariance

Robust integrated covariance intersection fusion Kalman estimators for networked mixed uncertain time-varying systems

2020 ◽  
Author(s):  
Yuan Gao ◽  
Zili Deng
Keyword(s):  
Kalman Filtering ◽  
Estimation Error ◽  
Original System ◽  
Lyapunov Equation ◽  
Upper Bounds ◽  
Time Varying ◽  
Worst Case ◽  
Covariance Intersection ◽  
Integrated Covariance ◽  
White Noises

Abstract For the multisensor time-varying networked mixed uncertain systems with random one-step sensor delays and uncertain-variance multiplicative and linearly dependent additive white noises, a new augmented state method with fictitious noises is presented, by which the original system is transformed into a standard system without delays and with uncertain-variance fictitious white noises. According to the minimax robust estimation principle and the Kalman filtering theory, based on the worst-case system with the conservative upper bounds of uncertain noise variances, the local and integrated covariance intersection (ICI) fused robust time-varying Kalman estimators (filter, predictor and smoother) are presented respectively in the sense that their actual estimation error variances are guaranteed to have the corresponding minimal upper bounds for all admissible uncertainties. Their robustness is proved by the extended Lyapunov equation method, and their accuracy relations are compared based on the traces of the variance matrices and the covariance ellipsoids, respectively. Specially, a universal ICI fusion robust Kalman filtering method of integrating the local robust estimators and their conservative cross-covariances is presented. It overcomes the drawbacks of the original covariance intersection (CI) fusion method and improves robust accuracy of the original CI fuser. A simulation example applied to two-mass spring system shows the effectiveness of the proposed methods and results.

Circle and Popov Criterion for Output Feedback Stabilization of Uncertain Systems

2006 ◽  
Vol 11 (2) ◽  
pp. 137-148 ◽  
Author(s):  
A. Benabdallah ◽  
M. A. Hammami
Keyword(s):  
Dynamical Systems ◽  
Output Feedback ◽  
Uncertain Systems ◽  
Feedback Stabilization ◽  
Stabilizing Controller ◽  
Nominal System ◽  
Output Feedback Stabilization ◽  
Uncertain Dynamical Systems

In this paper, we address the problem of output feedback stabilization for a class of uncertain dynamical systems. An asymptotically stabilizing controller is proposed under the assumption that the nominal system is absolutely stable.

Sign in / Sign up

Export Citation Format

Share Document