scholarly journals MATLAB tools for linear and nonlinear system stability theorem implementation

2002 ◽  
Author(s):  
J.H. Taylor ◽  
C. Chan
Keyword(s):  
Nonlinear System ◽  
Stability Theorem ◽  
System Stability ◽  
Linear And Nonlinear

The Motor Active Flexible Suspension and Its Dynamic Effect on the High-Speed Train Bogie

2017 ◽  
Vol 140 (6) ◽  
Author(s):  
Yuan Yao ◽  
Yapeng Yan ◽  
Zhike Hu ◽  
Kang Chen
Keyword(s):  
Control System ◽  
Time Delay ◽  
High Speed ◽  
State Feedback ◽  
State Feedback Control ◽  
System Stability ◽  
High Speed Train ◽  
Suspension Parameters ◽  
Linear And Nonlinear ◽  
Hunting Stability

We put forward the motor active flexible suspension and investigate its dynamic effects on the high-speed train bogie. The linear and nonlinear hunting stability are analyzed using a simplified eight degrees-of-freedom bogie dynamics with partial state feedback control. The active control can improve the function of dynamic vibration absorber of the motor flexible suspension in a wide frequency range, thus increasing the hunting stability of the bogie at high speed. Three different feedback state configurations are compared and the corresponding optimal motor suspension parameters are analyzed with the multi-objective optimal method. In addition, the existence of the time delay in the control system and its impact on the bogie hunting stability are also investigated. The results show that the three control cases can effectively improve the system stability, and the optimal motor suspension parameters in different cases are different. The direct state feedback control can reduce corresponding feed state's vibration amplitude. Suppressing the frame's vibration can significantly improve the running stability of bogie. However, suppressing the motor's displacement and velocity feedback are equivalent to increasing the motor lateral natural vibration frequency and damping, separately. The time delay over 10 ms in control system reduces significantly the system stability. At last, the effect of preset value for getting control gains on the system linear and nonlinear critical speed is studied.

scholarly journals Numerical solution of nonlinear system of integro-differential equations using Chebyshev wavelets

2015 ◽  
Vol 11 (2) ◽  
pp. 15-34
Author(s):  
H. Aminikhah ◽  
S. Hosseini
Keyword(s):  
Exact Solution ◽  
Approximate Solution ◽  
Nonlinear System ◽  
Differential Equations ◽  
Numerical Solution ◽  
Chebyshev Wavelets ◽  
Linear And Nonlinear

Abstract This paper introduces an approach for obtaining the numerical solution of the linear and nonlinear integro-differential equations using Chebyshev wavelets approximations. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique and the results have been compared with the exact solution. Comparison of the approximate solution with exact solution shows that the used method is effectiveness and practical for classes of linear and nonlinear system of integro-differential equations.

Stability Analysis of Two-Layered Finite Hydrodynamic Porous Journal Bearing Using Linear and Nonlinear Transient Method

2007 ◽  
Author(s):  
S. K. Kakoty ◽  
S. K. Laha ◽  
P. Mallik
Keyword(s):  
Journal Bearing ◽  
Journal Bearings ◽  
Operating Conditions ◽  
System Stability ◽  
Rigid Rotor ◽  
Transient Method ◽  
Porous Bearing ◽  
Nonlinear Transient ◽  
Linear And Nonlinear ◽  
The Stability

A theoretical analysis has been carried out to determine the stability of rigid rotor supported on two symmetrical finite two-layered porous oil journal bearings. The stability curves have been drawn for different eccentricity ratios and Sommerfeld numbers. The effect of bearing feeding parameter, L/D ratio on the stability is also investigated. This paper also deals with a theoretical investigation of stability using a non-linear transient method. This analysis gives the journal centre locus and from this the system stability can be determined. With the help of graphics, several trajectories of the journal centre have been obtained for different operating conditions. Finally a comparison between single-layered porous bearing and the two-layered porous bearing is presented here.

Linear and nonlinear system identification of autonomic heart-rate modulation

1997 ◽  
Vol 16 (5) ◽  
pp. 96-105 ◽  
Author(s):  
Ki.H. Chon ◽  
R. Mukkamala ◽  
K. Toska ◽  
T.J. Mullen ◽  
A.A. Armoundas ◽  
...  
Keyword(s):  
Heart Rate ◽  
System Identification ◽  
Nonlinear System ◽  
Nonlinear System Identification ◽  
Rate Modulation ◽  
Linear And Nonlinear

Motion Control of a Wheeled Inverted Pendulum Using Equivalent-Input-Disturbance Approach

2015 ◽  
Vol 19 (2) ◽  
pp. 293-300
Author(s):  
Qi Shi ◽  
◽  
Zhejun Fang ◽  
Jinhua She ◽  
Junya Imani ◽  
...  
Keyword(s):  
Nonlinear System ◽  
Motion Control ◽  
Coordinate Transformation ◽  
Inverted Pendulum ◽  
Nonlinear Part ◽  
Input Disturbance ◽  
Wheeled Inverted Pendulum ◽  
Linear And Nonlinear ◽  
Simulation Results ◽  
Equivalent Input Disturbance

This paper presents a new method for controlling the motion of a wheeled inverted pendulum (WIP) based on the equivalent-input-disturbance (EID) approach. Coordinate transformation first transforms the WIP into a simple nonlinear system divided into linear and nonlinear parts. The nonlinear part is then treated as a state-and-input-dependent disturbance, and the EID approach is used to estimate and compensate it. Simulation results of an NXTway-GS demonstrate the validity of the method.

scholarly journals A Controller Combining Positive Velocity Feedback with Negative Angle Feedback for a Two-Wheeled Robot

2015 ◽  
Vol 15 (2) ◽  
pp. 159-170 ◽  
Author(s):  
Lingyan Hu ◽  
Henry Leung Ieee ◽  
Shaoping Xu ◽  
Hua Zhang
Keyword(s):  
Nonlinear System ◽  
Negative Feedback ◽  
Tilt Angle ◽  
Positive Feedback ◽  
Pid Controller ◽  
System Stability ◽  
Velocity Control ◽  
Velocity Feedback ◽  
Wheeled Robot ◽  
The Stability

Abstract The two-wheeled robot is a nonlinear system of multi-variables, higherorder and strong coupling. This paper presented a PID Controller with Double Loops (PCDL) to control the tilt angle and velocity of a two-wheeled robot. The angle controller is the regular negative feedback, while the velocity control is the positive feedback. The Double Loops work cooperatively to endow the system with strong anti-interference ability. The stability of the whole system is analyzed and the criterion of the system stability is developed. The simulation and experiments showed that the two-wheeled robot can self-balance and move at an expected velocity and the system has strong anti-interference ability.

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