High-order sliding mode and high-gain observers for state estimation and fault reconstruction for a nonlinear CSTR

2017 ◽  
Author(s):  
Mustapha Boudjellal ◽  
Rachid Illoul
Keyword(s):  
State Estimation ◽  
Sliding Mode ◽  
High Gain ◽  
High Order ◽  
Fault Reconstruction

Observer-Based Synchronization of Chaotic Systems with Both Parameter Uncertainties and Channel Noise

2014 ◽  
Vol 24 (07) ◽  
pp. 1450095 ◽  
Author(s):  
Xiu Jiang ◽  
Junqi Yang ◽  
Fanglai Zhu ◽  
Liyun Xu
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
High Gain ◽  
High Order ◽  
Sliding Mode Observer ◽  
Channel Noise ◽  
Parameter Uncertainties ◽  
Reduced Order ◽  
Reduced Order Observer

This paper considers observer-based chaos synchronization and chaos-based secure communication problems for a class of uncertain chaotic systems with both parameter uncertainties and channel noise. First, by introducing an augmented vector, the original system is transformed into a new system which has no channel noise. Second, based on the concept of relative degree, an auxiliary drive signal vector is constructed so that the observer matching condition is satisfied. Third, a reduced-order observer is designed to estimate the states of the new augmented system. Then, a high-order high-gain sliding mode observer is considered to estimate the auxiliary drive signals and their derivatives exactly in a finite time. After this, the combination of the reduced-order observer and the high-order high-gain sliding mode observer is used as the receiver in the secure communication mechanism. And a kind of secure information recovery method is developed. Finally, a four-dimensional hyperchaos system is used as the simulation example to illustrate the effectiveness of the proposed methods.

Sign in / Sign up

Export Citation Format

Share Document