Design of integral sliding mode observers with application to fault and unknown input reconstruction

2009 ◽  
Author(s):  
R. Sharma ◽  
M. Aldeen
Keyword(s):  
Sliding Mode ◽  
Unknown Input ◽  
Integral Sliding Mode ◽  
Sliding Mode Observers ◽  
Input Reconstruction

H ∞ and Sliding Mode Observers for Linear Time-Invariant Fractional-Order Dynamic Systems With Initial Memory Effect

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Sang-Chul Lee ◽  
Yan Li ◽  
YangQuan Chen ◽  
Hyo-Sung Ahn
Keyword(s):  
Memory Effect ◽  
Fractional Order ◽  
Dynamic Systems ◽  
Sliding Mode ◽  
Linear Time ◽  
Unknown Input ◽  
Unknown Input Observer ◽  
Linear Time Invariant ◽  
Sliding Mode Observers ◽  
Time Invariant

The H∞ and sliding mode observers are important in integer-order dynamic systems. However, these observers are not well explored in the field of fractional-order dynamic systems. In this paper, the H∞ filter and the fractional-order sliding mode unknown input observer are developed to estimate state of the linear time-invariant fractional-order dynamic systems with consideration of proper initial memory effect. As the first result, the fractional-order H∞ filter is introduced, and it is shown that the gain from the noise to the estimation error is bounded in the sense of the H∞ norm. Based on the extended bounded real lemma, the H∞ filter design is formulated in a linear matrix inequality form, and it will be seen that numerical methods to solve convex optimization problems are feasible in fractional-order systems (FOSs). As the second result of this paper, not only state but also unknown input disturbance are estimated by fractional-order sliding-mode unknown input observer, simultaneously. In this paper, it is shown that the design and stability analysis of the two estimation techniques are not related with the initial history. Through two numerical examples, the performance of the fractional-order H∞ filter and the fractional-order sliding-mode observer is illustrated with consideration of the initialization functions.

scholarly journals Unknown Input Estimation for Nonlinear Systems Using Sliding Mode Observers and Smooth Window Functions

2018 ◽  
Vol 56 (5) ◽  
pp. 3619-3641 ◽  
Author(s):  
Ankush Chakrabarty ◽  
Ann E. Rundell ◽  
Stanisław H. Żak ◽  
Fanglai Zhu ◽  
Gregery T. Buzzard
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode ◽  
Unknown Input ◽  
Input Estimation ◽  
Window Functions ◽  
Sliding Mode Observers ◽  
Unknown Input Estimation

scholarly journals Sliding mode observers and observability singularity in chaotic synchronization

2004 ◽  
Vol 2004 (1) ◽  
pp. 11-31 ◽  
Author(s):  
L. Boutat-Baddas ◽  
J. P. Barbot ◽  
D. Boutat ◽  
R. Tauleigne
Keyword(s):  
Chaotic System ◽  
Data Transmission ◽  
Sliding Mode ◽  
Chaotic Synchronization ◽  
Sliding Mode Observer ◽  
System Structure ◽  
Unknown Input ◽  
Sliding Mode Observers ◽  
Secured Data

We present a new secured data transmission based on a chaotic synchronization and observability singularity. For this, we adopt an approach based on an inclusion of the message in the system structure and we use a sliding mode observer for system with unknown input in order to recover the information. We end the paper with an example of chaotic system with an observability bifurcation. Moreover, this example highlights some benefits of the so-called step-by-step sliding mode observer.

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