scholarly journals String stability analysis of homogeneous linear unidirectionally connected systems with nonzero initial conditions

2009 ◽  
Author(s):  
S. Klinge ◽  
R.H. Middleton
Keyword(s):  
Stability Analysis ◽  
Initial Conditions ◽  
String Stability ◽  
Homogeneous Linear

scholarly journals Fixed-Time Stability Analysis of Permanent Magnet Synchronous Motors with Novel Adaptive Control

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Maoxing Liu ◽  
Jie Wu ◽  
Yong-zheng Sun
Keyword(s):  
Stability Analysis ◽  
Permanent Magnet ◽  
Initial Conditions ◽  
Lyapunov Stability Theory ◽  
Fixed Time ◽  
Stability Control ◽  
Time Stability ◽  
Permanent Magnet Synchronous Motors ◽  
Synchronous Motors ◽  
Comparison Results

We firstly investigate the fixed-time stability analysis of uncertain permanent magnet synchronous motors with novel control. Compared with finite-time stability where the convergence rate relies on the initial permanent magnet synchronous motors state, the settling time of fixed-time stability can be adjusted to desired values regardless of initial conditions. Novel adaptive stability control strategy for the permanent magnet synchronous motors is proposed, with which we can stabilize permanent magnet synchronous motors within fixed time based on the Lyapunov stability theory. Finally, some simulation and comparison results are given to illustrate the validity of the theoretical results.

Delay Dependent H∞ Stochastic Stability Analysis for Stochastic Nonlinear Delay Hybrid Singular System

2013 ◽  
Vol 765-767 ◽  
pp. 520-523
Author(s):  
Hong Qian Lu ◽  
Xing Ping Liu ◽  
Wu Neng Zhou
Keyword(s):  
Stability Analysis ◽  
Stochastic Stability ◽  
Initial Conditions ◽  
Singular System ◽  
Linear Matrix ◽  
Stochastically Stable ◽  
Linear Matrix Inequality Approach ◽  
Stochastic Stability Analysis ◽  
Delay Dependent ◽  
Nonlinear Delay

This paper deals with the problem of stochastic stability analysis for stochastic nonlinear delay hybrid singular system in this paper. Based on linear matrix inequality approach, a delay dependent condition is proposed, which ensures the stochastic nonlinear delay hybrid singular system is stochastically stable with H performance under zero initial conditions. Finally, an example is provided to demonstrate the effectiveness of the proposed approach.

Hybrid Fuzzy Skyhook Surface Control Using Multi-Objective Microgenetic Algorithm for Semi-Active Vehicle Suspension System Ride Comfort Stability Analysis

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
Yi Chen ◽  
Zhong-Lai Wang ◽  
Jing Qiu ◽  
Hong-Zhong Huang
Keyword(s):  
Stability Analysis ◽  
Real Time ◽  
Ride Comfort ◽  
Polynomial Function ◽  
Sliding Mode ◽  
Initial Conditions ◽  
Active Suspension ◽  
Suspension System ◽  
Multi Objective ◽  
Microgenetic Algorithm

A polynomial function supervising fuzzy sliding mode control (PSFαSMC), which embedded with skyhook surface method, is proposed for the ride comfort of a vehicle semi-active suspension. The multi-objective microgenetic algorithm (MOμGA) has been utilized to determine the PSFαSMC controller’s parameter alignment in a training process with three ride comfort objectives for the vehicle semi-active suspension, which is called the “offline” step. Then, the optimized parameters are applied to the real-time control process by the polynomial function supervising controller, which is named “online” step. A two-degree-of-freedom dynamic model of the vehicle semi-active suspension systems with the stability analysis is given for passenger’s ride comfort enhancement studies, and a simulation with the given initial conditions has been devised in MATLAB. The numerical results have shown that this hybrid control method is able to provide real-time enhanced level of reliable ride comfort performance for the semi-active suspension system.

A Simplified Framework for String Stability Analysis of Automated Vehicles∗

1998 ◽  
Vol 30 (5) ◽  
pp. 375-405 ◽  
Author(s):  
J. EYRE ◽  
D. YANAKIEV ◽  
I. KANELLAKOPOULOS
Keyword(s):  
Stability Analysis ◽  
Automated Vehicles ◽  
String Stability

Dynamics and Stability of a Nonlinear Brake Model

2001 ◽  
Author(s):  
Jörg Wauer ◽  
Jürgen Heilig
Keyword(s):  
Stability Analysis ◽  
Lyapunov Exponent ◽  
Nonlinear Model ◽  
Numerical Evaluation ◽  
Critical Speed ◽  
Initial Conditions ◽  
Brake Disc ◽  
Disc Brake ◽  
Brake Pad ◽  
The Stability

Abstract The dynamics of a nonlinear car disc brake model is investigated and compared with a simplified linear model. The rotating brake disc is approximated by a rotating ring. The brake pad is modeled as a point mass which is in contact with the rotating ring and visco-elastically suspended in axial and circumferential direction. The stability analysis for the nonlinear model is performed by a numerical evaluation of the top Lyapunov-exponent. Several parameter studies for the nonlinear model are discussed. It is shown that dynamic instabilities of the nonlinear model are estimated at subcritical rotating speeds lower than 10% of the critical speed. Further, the sensitivity of the nonlinear model to the initial conditions and the stiffness ratios is demonstrated.

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