Reduced-Order Observer-Based FEA for Continuous-Time Switched Systems

2020 ◽  
pp. 111-130
Author(s):  
Dongsheng Du ◽  
Shengyuan Xu ◽  
Vincent Cocquempot
Keyword(s):  
Continuous Time ◽  
Switched Systems ◽  
Reduced Order ◽  
Reduced Order Observer

scholarly journals Robust Functional Interval Observer for Multivariable Linear Systems

2019 ◽  
Vol 141 (9) ◽  
Author(s):  
Luc Meyer
Keyword(s):  
Linear System ◽  
Linear Function ◽  
Continuous Time ◽  
State Vector ◽  
Internal State ◽  
Design Procedure ◽  
Reduced Order ◽  
Reduced Order Observer ◽  
Interval Observer ◽  
Interval Observers

The study of a continuous-time multivariable linear system may not need the knowledge of the entire internal state vector, but only of a linear function of it. In this case, instead of designing a complete observer, only a functional (also called reduced order) observer is used. In this field of research, this paper focuses on robust functional cooperative interval observers. Such an observer is proposed and its properties (in particular, its convergence) are established. Then, a design procedure is given for practical use. Finally, the theoretical contributions are illustrated in examples.

Study on Discreted Fifth-Order CNN Hyper-Chaos Synchronization Reduced Order Observer

2011 ◽  
Vol 135-136 ◽  
pp. 960-963
Author(s):  
Jie Xu ◽  
Juan Chang ◽  
Lian Zhang ◽  
Yong Sun
Keyword(s):  
Neural Networks ◽  
Continuous Time ◽  
Secure Communication ◽  
Chaos Synchronization ◽  
State Observer ◽  
Cellular Neural Networks ◽  
Reduced Order ◽  
Reduced Order Observer ◽  
Fifth Order ◽  
Order State

Secure communication with the hyper-chaos synchronization approach is the popular investigation. In this paper the fifth-order Cellular Neural Networks(CNN) hyper-chaos equation of continuous time was discreted. The innovation was that the synchronization of the hyper-chaos system was realized with the discreted reduced order state observer. Finally, the system stabilizing to zero after fugacious transition and achieving synchronization were validated by simulations, which showed the algorithm’s availability.

Loss of Optimal Performance of the Finite-Horizon Continuous-Time Linear-Quadratic Controller Driven by a Reduced-Order Observer

2017 ◽  
Vol 140 (6) ◽  
Author(s):  
Verica Radisavljevic-Gajic ◽  
Milos Milanovic
Keyword(s):  
Continuous Time ◽  
Initial Conditions ◽  
Proton Exchange ◽  
Optimal Performance ◽  
Finite Horizon ◽  
Least Square ◽  
State Variables ◽  
Linear Quadratic ◽  
Reduced Order ◽  
Reduced Order Observer

In this paper, we derive an expression for the loss of optimal performance (compared to the corresponding linear-quadratic optimal performance with the instantaneous full-state feedback) when the continuous-time finite-horizon linear-quadratic optimal controller uses the estimates of the state variables obtained via a reduced-order observer. It was shown that the loss of optimal performance value can be found by solving the differential Lyapunov equation whose dimensions are equal to dimensions of the reduced-order observer. A proton exchange membrane fuel cell example is included to demonstrate the loss of optimal performance as a function of the final time. It can be seen from the simulation results that the loss of optimal performance value can be very large. The loss of optimal performance value can be drastically reduced by using the proposed least-square formulas for the choice of the reduced-order observer initial conditions.

Interval estimation based on reduced-order observer and peak-to-peak analysis

2021 ◽  
pp. 1-19
Author(s):  
Zhenhua Wang ◽  
Hui Yin ◽  
Thach Ngoc Dinh ◽  
Tarek Raïssi
Keyword(s):  
Interval Estimation ◽  
Reduced Order ◽  
Reduced Order Observer

scholarly journals Asymptotic Regional Gradient Reduced-Order Observer

2021 ◽  
Vol 1818 (1) ◽  
pp. 012190
Author(s):  
Raheam A. Al-Saphory ◽  
Naseif J. Al-Jawari ◽  
Asmaa N. Al-Janabi
Keyword(s):  
Reduced Order ◽  
Reduced Order Observer ◽  
Regional Gradient
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