Closed-Loop Input Shaping Control of Vibration in Flexible Structures via Adaptive Sliding Mode Control

2012 ◽  
Vol 19 (2) ◽  
pp. 221-233 ◽  
Author(s):  
Ming-Chang Pai
Keyword(s):  
Closed Loop ◽  
Sliding Mode ◽  
Flexible Structures ◽  
Adaptive Sliding Mode Control ◽  
Input Shaping ◽  
Parameter Uncertainties ◽  
Residual Vibration ◽  
Shaping Technique ◽  
Control Scheme ◽  
Input Shaping Control

Input shaping technique is widely used in reducing or eliminating residual vibration of flexible structures. The exact elimination of the residual vibration via input shaping technique depends on the amplitudes and instants of impulse application. However, systems always have parameter uncertainties which can lead to performance degradation. In this paper, a closed-loop input shaping control scheme is developed for uncertain flexible structures. The algorithm is based on input shaping control and adaptive sliding mode control. The proposed scheme does not need a priori knowledge of upper bounds on the norm of the uncertainties, but estimates them by using the adaptation technique. This scheme guarantees closed-loop system stability, and yields good performance and robustness in the presence of parameter uncertainties and external disturbances as well. Furthermore, it is shown that increasing the robustness to parameter uncertainties does not lengthen the duration of the impulse sequence. Simulation results demonstrate the efficacy of the proposed closed-loop input shaping control scheme.

Increasing Robustness of Input Shaping Method to Parametric Uncertainties and Time-Delays

2011 ◽  
Vol 133 (2) ◽  
Author(s):  
M. C. Pai ◽  
A. Sinha
Keyword(s):  
Time Delays ◽  
Closed Loop ◽  
Sliding Mode ◽  
Flexible Structures ◽  
System Stability ◽  
Flexible Structure ◽  
Input Shaping ◽  
Parametric Uncertainties ◽  
Residual Vibration ◽  
External Disturbances

The input shaping technique has proven to be highly effective in reducing or eliminating residual vibration of flexible structures. The exact elimination of the residual vibration via input shaping depends on the amplitudes and instants of utilized impulses. However, systems always have parametric uncertainties, which can lead to performance degradation. Furthermore, input shaping method does not deal with vibration excited by external disturbances and time-delays. In this paper, a closed-loop input shaping control scheme is developed for uncertain flexible structure and uncertain time-delay flexible structure systems. The algorithm is based on the sliding mode control and H∞/μ techniques. This scheme guarantees closed-loop system stability, and yields good performance and robustness in the presence of parametric uncertainties, time-delays and external disturbances as well. Also, it is shown that increasing the robustness to parametric uncertainties and time-delays does not lengthen the duration of the impulse sequence. Numerical examples are presented to verify the theoretical analysis.

An Input Shaping Control Scheme with Application on Overhead Cranes

2019 ◽  
Vol 20 (5) ◽  
pp. 561-573 ◽  
Author(s):  
Khalid Alghanim ◽  
Abdullah Mohammed ◽  
Masood Taheri Andani
Keyword(s):  
Optimization Technique ◽  
Sensitivity Analyses ◽  
Input Shaping ◽  
Residual Vibration ◽  
System Sensitivity ◽  
Cable Length ◽  
Control Scheme ◽  
Input Acceleration ◽  
Input Shaping Control ◽  
Continuous Range

AbstractA new optimization technique is developed to generate a step-input acceleration function for an input shaping harmonic system. This approach is integrated into an overhead crane model for a rest-to-rest maneuver with standard and nonstandard maneuver settings. The proposed method guarantees the satisfaction of the system constraints and desired final conditions, while it minimizes the system sensitivity to crane cable-length variations. The minimal system sensitivity is achieved through an optimization algorithm that provides zero vibration and a minimum integral of system sensitivity over a continuous range of crane cable length. Numerical simulations are conducted to demonstrate the feasibility of the proposed shaper in eliminating the residual vibration at the end of a programmed maneuver. Sensitivity analyses are also performed to verify the robustness of the new shaper. In comparison to the previous shapers, the new methodology is significantly less sensitive and can effectively handle different arbitrary maneuver times.

scholarly journals Integral Sliding Mode Control for Helicopter via Disturbance Observer and Quantum Information Technique

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Qiang Qu ◽  
Fuyang Chen ◽  
Bin Jiang ◽  
Gang Tao
Keyword(s):  
Quantum Information ◽  
Disturbance Observer ◽  
Closed Loop ◽  
Sliding Mode ◽  
Closed Loop System ◽  
Parameter Uncertainties ◽  
Integral Sliding Mode ◽  
Control Scheme ◽  
Unknown Disturbance ◽  
Control Accuracy

A novel self-repairing control scheme is proposed for a helicopter with unknown disturbance. Firstly, a disturbance observer is introduced to observe the disturbance of the system, which can produce corresponding control signals according to the disturbance signals. Secondly, an integral sliding mode controller is designed to compensate the unobserved disturbance and uncertainties. All of the closed-loop poles can be arbitrarily placed and the output errors converge to zero effectively through the controller. Besides, a robust closed-loop system against disturbance and parameter uncertainties is achieved. In addition, quantum information technique is used to increase the self-repairing control accuracy of helicopter. Finally, simulation results demonstrate the effectiveness and feasibility of the proposed self-repairing control scheme.

scholarly journals An Adjustable Zero Vibration Input Shaping Control Scheme for Overhead Crane Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Abdullah Mohammed ◽  
Khalid Alghanim ◽  
Masood Taheri Andani
Keyword(s):  
Sensitivity Analysis ◽  
Control System ◽  
System Performance ◽  
Input Shaping ◽  
Overhead Crane ◽  
Shaping Technique ◽  
Design Flexibility ◽  
Control Scheme ◽  
Point To Point ◽  
Input Shaping Control

This article presents a modified zero vibration (ZV) input shaping technique to address the sensitivity and flexibility limitations of the classic ZV shapers commonly implemented in overhead crane applications. Starting with the classical ZV formulation, new parameters are introduced to optimize the control system performance according to a versatile objective function. The new shaper enhances the design flexibility and operational domain of the shaper, while it inherits the robustness properties and computational efficiency of the ZV scheme. Unlike the original ZV shaper, the proposed shaper allows for the point-to-point maneuver time to be fixed. The sensitivity analysis of the controller confirms that the new shaper effectively reduces the ZV sensitivity to the cable length variations.

Sliding Mode Control of a 2D Torsional MEMS Micromirror with Sidewall Electrodes

2013 ◽  
Vol 3 (1) ◽  
pp. 16-26
Author(s):  
Hui Chen ◽  
Manu Pallapa ◽  
Weijie Sun ◽  
Zhendong Sun ◽  
John T. W. Yeow
Keyword(s):  
Sliding Mode Control ◽  
Closed Loop ◽  
Sliding Mode ◽  
Loop System ◽  
Closed Loop System ◽  
Parameter Uncertainties ◽  
External Disturbances ◽  
Mode Control ◽  
Control Scheme ◽  
The Stability

This paper presents a sliding mode control scheme to improve the positioning performance of a 2-Degree-of-freedom (DOF) torsional MEMS micromirror with sidewall electrodes. The stability of closed-loop system is proved by Lyapunov stability theorem under the existence of bounded parameter uncertainties and external disturbances. Furthermore, the performance of the closed-loop system is illustrated by experimental and simulation results which verify that the feasibility and effectiveness of the proposed scheme. The results demonstrated that the torsional MEMS micromirror with the proposed sliding mode controller has a good transient response and tracking performance.

scholarly journals Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven-Dimensional Power System

2020 ◽  
Vol 2020 ◽  
pp. 1-13 ◽  
Author(s):  
Jiangbin Wang ◽  
Ling Liu ◽  
Chongxin Liu ◽  
Xiaoteng Li
Keyword(s):  
Sliding Mode Control ◽  
Power System ◽  
Design Process ◽  
Equivalence Principle ◽  
Sliding Mode ◽  
Chaotic Oscillation ◽  
Adaptive Sliding Mode Control ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Control Scheme

The main purpose of the paper is to control chaotic oscillation in a complex seven-dimensional power system model. Firstly, in view that there are many assumptions in the design process of existing adaptive controllers, an adaptive sliding mode control scheme is proposed for the controlled system based on equivalence principle by combining fixed-time control and adaptive control with sliding mode control. The prominent advantage of the proposed adaptive sliding mode control scheme lies in that its design process breaks through many existing assumption conditions. Then, chaotic oscillation behavior of a seven-dimensional power system is analyzed by using bifurcation and phase diagrams, and the proposed strategy is adopted to control chaotic oscillation in the power system. Finally, the effectiveness and robustness of the designed adaptive sliding mode chaos controllers are verified by simulation.

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