Closed-loop input shaping control of vibration in flexible structures using discrete-time sliding mode

2011 ◽  
Vol 21 (7) ◽  
pp. 725-737 ◽  
Author(s):  
Ming-Chang Pai
Keyword(s):  
Discrete Time ◽  
Closed Loop ◽  
Sliding Mode ◽  
Flexible Structures ◽  
Input Shaping ◽  
Input Shaping Control

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.

Multiobjective Time Domain Input Shaping for Closed-Loop Discrete-Time Systems

2010 ◽  
Vol 43 (18) ◽  
pp. 200-205
Author(s):  
Uwe Boettcher ◽  
Raymond A. de Callafon ◽  
Frank E. Talke
Keyword(s):  
Discrete Time ◽  
Time Domain ◽  
Closed Loop ◽  
Input Shaping ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals Comparison of Disturbance Compensators for a Discrete-Time System with Parameter Uncertainty

2020 ◽  
Vol 10 (18) ◽  
pp. 6219
Author(s):  
Zhongyi Guo ◽  
Haifeng Ma ◽  
Qinghua Song
Keyword(s):  
Discrete Time ◽  
Parameter Uncertainty ◽  
Closed Loop ◽  
Sliding Mode ◽  
External Disturbance ◽  
Comparative Investigation ◽  
Industrial Applications ◽  
System Stability ◽  
Discrete Time System ◽  
Closed Loop System

The control design for many industrial applications requires compensation for parameter uncertainty and external disturbance. Reported in many previous works, the parameter uncertainty and external disturbance are combined as a lumped disturbance, which is assumed to be smooth and bounded. However, for a discrete-time sliding mode control (DSMC) system, the above assumption may not hold. Here, the parameter uncertainty, along with its compensation in the DSMC system, are reconsidered and reevaluated. The influence of parameter uncertainty on the closed-loop system stability is first addressed. Then, the comparative investigation of the performance of six state-of-the-art disturbance compensators for parameter uncertainty compensation is conducted. Simulation results show that none of these compensators can effectively observe and compensate for the parameter uncertainty.

Closed-Loop Input Shaping for Flexible Structures Using Time-Delay Control1

1999 ◽  
Vol 122 (3) ◽  
pp. 454-460 ◽  
Author(s):  
Vikram Kapila ◽  
Anthony Tzes ◽  
Qiguo Yan
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Flexible Structures ◽  
System Stability ◽  
Structural Vibration ◽  
Delay Systems ◽  
Linear Matrix ◽  
Input Shaping ◽  
Closed Loop Control ◽  
Loop Control

Input shaping techniques reduce the residual vibration in flexible structures by convolving the command input with a sequence of impulses. The exact cancellation of the residual structural vibration via input shaping is dependent on the amplitudes and instances of impulse application. A majority of the current input shaping schemes are inherently open-loop where impulse application at inaccurate instances can lead to system performance degradation. In this paper, we develop a closed-loop control design framework for input shaped systems. This framework is based on the realization that the dynamics of input shaped systems give rise to time delays in the input. Thus, we exploit the feedback control theory of time delay systems for the closed-loop control of input shaped flexible structures. A Riccati equation-based and a linear matrix inequality-based frameworks are developed for the stabilization of systems with uncertain, multiple input delays. Next, the aforementioned framework is applied to two input shaped flexible structure systems. This framework guarantees closed-loop system stability and performance when the impulse train is applied at inaccurate instances. Two illustrative numerical examples demonstrate the efficacy of the proposed closed-loop input shaping controller. [S0022-0434(00)00103-9]

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