scholarly journals Backstepping Control for Induction Motors with Input and Output Constrains

2020 ◽  
Vol 10 (4) ◽  
pp. 5998-6003
Author(s):  
T. L. Nguyen ◽  
T. H. Vo ◽  
N. D. Le
Keyword(s):  
Induction Motor ◽  
Tracking Error ◽  
Design Procedure ◽  
Backstepping Control ◽  
System Stability ◽  
Voltage Source ◽  
Control Voltage ◽  
Control Input ◽  
Bounded Control ◽  
Dc Bus

In practice, the applied control voltage for an induction motor drive system fed by a voltage source inverter has a limit depending on the DC bus capacity. In certain operations such as accelerating, the motor might require an excessively high voltage value that the DC bus cannot supply. This paper presents a control solution for the bounded control input problem of the induction motor system by flexibly combining a hyperbolic tangent function in a backstepping control design procedure. In addition, the barrier Lyapunov function is also employed to force speed tracking error in a defined value. The closed-loop system stability is proven, and the proposed control is verified through numerical simulations.

Design of Switching Damping Control for Smart Structure Self-Powered Adaptive Damping Control

2010 ◽  
Author(s):  
Chao-Ting Wu ◽  
Chih-Hsiang Yang ◽  
Wen-Jong Wu ◽  
Chih-Kung Lee
Keyword(s):  
Smart Structure ◽  
Control Circuit ◽  
System Stability ◽  
Voltage Source ◽  
Storage Capacitor ◽  
Control Voltage ◽  
Controlled Switching ◽  
Damping Control ◽  
Structure Vibration ◽  
Self Powered

This paper presents a new damping control circuit which named adaptive VSPD [1] (adaptive velocity-controlled switching piezoelectric damping) that can be used to vary control voltage of VSPD damping circuit with the amplitude variation and be self-powered itself as well. Since the voltage source in the VSPD damping control circuit may cause a stability problem at small vibrations, an adaptive voltage source can be designed to purposely solve this problem. The design concept of an adaptive VSPD unit is not only to dampen the residual vibration but also to maintain the system stability by incorporating an adaptive control voltage. In fact, the energy needed for the extra voltage source within the control circuit can be provided by the storage capacitor and the energy stored can be harvested from the structure vibration energy. With this design, the damping performance can be maximized while maintaining system stability at the same time and also does not add complexity to the circuit. All the theoretical modeling, simulation and experimental results will all be detailed in this paper.

scholarly journals Backstepping Control Based on Constrained Command Filter for Hypersonic Flight Vehicles with AOA and Actuator Constraints

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Junbao Wei ◽  
Haiyan Li ◽  
Ming Guo ◽  
Jing Li ◽  
Huang Huang
Keyword(s):  
Tracking Error ◽  
Lyapunov Stability Theory ◽  
Backstepping Control ◽  
Control Input ◽  
Tracking Errors ◽  
Hypersonic Flight ◽  
Flight Vehicles ◽  
Control Scheme ◽  
Actuator Constraints ◽  
Command Filter

An antisaturation backstepping control scheme based on constrained command filter for hypersonic flight vehicle (HFV) is proposed with the consideration of angle of attack (AOA) constraint and actuator constraints of amplitude and rate. Firstly, the HFV system model is divided into velocity subsystem and height subsystem. Secondly, to handle AOA constraint, a constrained command filter is constructed to limit the amplitude of the AOA command and retain its differentiability. And the constraint range is set in advance via a prescribed performance method to guarantee that the tracking error of the AOA meets the constraint conditions and transient and steady performance. Thirdly, the proposed constrained command filter is combined with the auxiliary system for actuator constraints, which ensures that the control input meets the limited requirements of amplitude and rate, and the system is stable. In addition, the tracking errors of the system are proved to be ultimately uniformly bounded based on the Lyapunov stability theory. Finally, the effectiveness of the proposed method is verified by simulation.

scholarly journals Tracking Control Strategy Using Filter-Based Approximation for the Unknown Control Direction Problem of Uncertain Pure-Feedback Nonlinear Systems

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1341
Author(s):  
Yun Ho Choi ◽  
Sung Jin Yoo
Keyword(s):  
Controller Design ◽  
Tracking Error ◽  
Design Procedure ◽  
Control Input ◽  
State Variables ◽  
Feedback Systems ◽  
Unknown Control Directions ◽  
Unknown Control ◽  
Unknown Control Direction ◽  
Control Direction

A filter-based recursive tracker design approach is presented for the problem of unknown control directions of pure-feedback systems with completely unknown non-affine nonlinearities. In the controller design procedure, the first-order filters for error surfaces, a control input, and state variables are employed to design nonadaptive virtual and actual control laws independent of adaptive function approximators. In addition, for the unknown control direction problem, the filtering signals are incorporated with Nussbaum functions. Different from existing adaptive approximation-based control schemes in the presence of unknown control directions, the proposed approach does not require any adaptive technique regardless of completely unknown nonlinear functions. Therefore, a simplified tracking structure can be constructed. Using the Lyapunov stability analysis, it is shown that the tracking error is reduced within an adjustable neighborhood of the origin while ensuring all the closed-loop signals are bounded.

Precise Point-to-Point Positioning Control of Flexible Structures

1990 ◽  
Vol 112 (4) ◽  
pp. 667-674 ◽  
Author(s):  
S. P. Bhat ◽  
D. K. Miu
Keyword(s):  
Position Control ◽  
Flexible Structures ◽  
Design Procedure ◽  
Control Technique ◽  
Control Input ◽  
Bounded Control ◽  
Linear Quadratic Optimal Control ◽  
Flexible Mode ◽  
Point Positioning ◽  
Point To Point

Control strategies to accomplish precise point-to-point positioning of flexible structures are discussed. First, the problem is formulated and solved in closed form using a linear quadratic optimal control technique for a simple system with only one rigid and one flexible mode; the resulting analytical solutions are examined in both the time and frequency domain. In addition, the necessary and sufficient condition for zero residual vibration is derived which simply states that the Laplace transform of the time bounded control input must vanish at the system poles. This criteria is then used to highlight the common features of existing techniques and to outline an alternative design procedure for precise position control of more complicated structures having multiple flexible modes.

Research on a New Azimuth Control Method for Stratospheric Balloon-Borne Gondola System

2012 ◽  
Vol 190-191 ◽  
pp. 1033-1039
Author(s):  
Hong Hui Wang ◽  
Zhao Hui Yuan ◽  
Juan Wu
Keyword(s):  
Control Method ◽  
Sliding Mode ◽  
Tracking Error ◽  
System Stability ◽  
Control Input ◽  
Tracking Accuracy ◽  
Cmac Neural Network ◽  
System A ◽  
Stratospheric Balloon ◽  
Robust Adaptive

For a class of non-matching uncertain nonlinear system such as stratospheric balloon-borne gondola azimuth control system, a new robust adaptive multiple sliding mode controller is proposed. In this control method, the virtual and the practical control variables are obtained by designing the multiple sliding modes step-by-step. For avoiding the chattering problem generated by discontinuous input, the traditional sign function is replaced by hyperbolic tangent function. Meanwhile, the CMAC neural network is used to approximate the system uncertainties and the derivative of virtual control input online, which can reduce the conservation of controller parameters design. The system stability analyses show that the control method can guarantee that the output tracking error and slide modes asymptotically convergent to boundary layer. The simulation results show that the controller has higher tracking accuracy, and stronger robust to nonlinear and uncertainty of system, and it also can be applied to other similar non-matching uncertain nonlinear systems.

scholarly journals Sliding mode control technique for an induction motor drive supplied by a three-level voltage source inverter

2008 ◽  
Vol 21 (2) ◽  
pp. 195-207 ◽  
Author(s):  
Sergey Ryvkin ◽  
Richard Schmidt-Obermöller ◽  
Andreas Steimel
Keyword(s):  
Induction Motor ◽  
High Power ◽  
Sliding Mode ◽  
Design Procedure ◽  
Control Technique ◽  
Voltage Source ◽  
Motor Drive ◽  
Induction Motor Drive ◽  
Voltage Source Inverter ◽  
Simulation Results

The possibility of using sliding-mode (SM) technique for an induction motor drive with a class of inverters dedicated to high power, the three-level voltage-source inverter (3LVSI), has been presented. A designed control based on the proposed two-step design procedure is discussed; drive simulation results are shown. .

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