Analysis of the Stability in Large of a Sampled-Data System with Nonlinear Continuous Part by Considering an Approximate Nonlinear Model

2000 ◽  
Vol 32 (2) ◽  
pp. 1-15
Author(s):  
Andrey A. Korshunov ◽  
Anatoliy I. Korshunov
Keyword(s):  
Nonlinear Model ◽  
Data System ◽  
Sampled Data ◽  
Continuous Part ◽  
The Stability

scholarly journals Explicit parallel co-simulation approach: analysis and improved coupling method based on H-infinity synthesis

2021 ◽  
Author(s):  
Weitao Chen ◽  
Shenhai Ran ◽  
Canhui Wu ◽  
Bengt Jacobson
Keyword(s):  
Frequency Domain ◽  
Wide Frequency Range ◽  
Coupling Method ◽  
Sampled Data ◽  
H Infinity ◽  
First Case ◽  
Communication Step ◽  
Coupling Variables ◽  
The Stability ◽  
Stability And Accuracy

AbstractCo-simulation is widely used in the industry for the simulation of multidomain systems. Because the coupling variables cannot be communicated continuously, the co-simulation results can be unstable and inaccurate, especially when an explicit parallel approach is applied. To address this issue, new coupling methods to improve the stability and accuracy have been developed in recent years. However, the assessment of their performance is sometimes not straightforward or is even impossible owing to the case-dependent effect. The selection of the coupling method and its tuning cannot be performed before running the co-simulation, especially with a time-varying system.In this work, the co-simulation system is analyzed in the frequency domain as a sampled-data interconnection. Then a new coupling method based on the H-infinity synthesis is developed. The method intends to reconstruct the coupling variable by adding a compensator and smoother at the interface and to minimize the error from the sample-hold process. A convergence analysis in the frequency domain shows that the coupling error can be reduced in a wide frequency range, which implies good robustness. The new method is verified using two co-simulation cases. The first case is a dual mass–spring–damper system with random parameters and the second case is a co-simulation of a multibody dynamic (MBD) vehicle model and an electric power-assisted steering (EPAS) system model. Experimental results show that the method can improve the stability and accuracy, which enables a larger communication step to speed up the explicit parallel co-simulation.

scholarly journals On the Stability of a Stochastic Nonlinear Model of the Heart Beat Rate During a Treadmill Exercise

2020 ◽  
Vol 53 (2) ◽  
pp. 16457-16461
Author(s):  
Mohammad Mostafa Asheghan ◽  
Bahram Shafai ◽  
Joaquín Míguez
Keyword(s):  
Nonlinear Model ◽  
Treadmill Exercise ◽  
Heart Beat ◽  
Beat Rate ◽  
Heart Beat Rate ◽  
The Stability

Research on the Performances of Self-Oscillation Linear Actuator and its Compensation

2012 ◽  
Vol 433-440 ◽  
pp. 7375-7380
Author(s):  
Fan Lin ◽  
Li Qiao ◽  
Yu Wang ◽  
Hui Liu
Keyword(s):  
Nonlinear Model ◽  
Servo System ◽  
The Self ◽  
Linear Actuator ◽  
Phase Lag ◽  
Phase Lead ◽  
The Stability ◽  
Lag Compensation

Base on constitution of the self-oscillation linear actuator which is a servo system for a gun launched missile, a nonlinear model was built. Though the experiment, the model is correct. This paper studied the stability, the self-oscillation's frequency and gain on this kind of servo system. On comparing phase-lead compensation and phase-lag compensation, the later is more suitable for this system. After testing, the lag regulator is designed for the system.

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