scholarly journals Nonstationary Robust Control of Flexible Structures Using Frequency-Shaped Time-Varying Criterion Function

1996 ◽  
Vol 32 (7) ◽  
pp. 985-992 ◽  
Author(s):  
Susumu HARA ◽  
Kazuo YOSHIDA
Keyword(s):  
Robust Control ◽  
Flexible Structures ◽  
Time Varying ◽  
Criterion Function

Nonstationary Robust Positioning Control of Flexible Structures

1995 ◽  
Author(s):  
Susumu Hara ◽  
Kazuo Yoshida
Keyword(s):  
Vibration Control ◽  
Flexible Structures ◽  
Synthesis Method ◽  
Riccati Equations ◽  
Time Varying ◽  
Criterion Function ◽  
Positioning Control ◽  
Vibrating System ◽  
Smooth Change ◽  
Time Invariant

Abstract For positioning control of such vibrating system as flexible structures, it is important to reduce vibration. In the problem, influences of such uncertainties as variations of parameters of controllers possess nonstationary characteristics. This paper presents an integrated synthesis method of both motion and vibration controller maintaining the robustness of the control by using a time-varying criterion function. In this method, a smooth change from H2 positioning control to H vibration control is realized by solving time-varying Riccati equations in stead of time-invariant Riccati equations. This method is applied to a positioning problem of flexible tower-like structure. In comparison with the former methods proposed by the authors, the usefulness of the method is verified theoretically and experimentally.

Simultaneous Optimization of Positioning and Vibration Controls Using Time-Varying Criterion Function

1994 ◽  
Vol 6 (4) ◽  
pp. 278-284 ◽  
Author(s):  
Susumu Hara ◽  
◽  
Kazuo Yoshida ◽  
Keyword(s):  
Optimal Control ◽  
Flexible Structures ◽  
Simultaneous Optimization ◽  
Flexible Structure ◽  
Time Varying ◽  
Criterion Function ◽  
Residual Vibration ◽  
Positioning Control

For the positioning control of flexible structures, it is important to reduce residual vibration after the positioning is completed. If a positioning controller and a vibration controller are designed independently and abrupt switching is performed from the former to the latter, the moving structure suffers from impact, and additional vibration is caused. This paper presents a method for simultaneously synthesizing both motion and vibration controllers, using a time-varying criterion function for optimal control. This method is applied to the positioning control of a flexible structure. The usefulness of the method is verified theoretically and experimentally.

Identification and robust control of flexible structures using shape memory actuators

1993 ◽  
Author(s):  
Robert W. Lashlee ◽  
Rajendra R. Damle ◽  
Vittal S. Rao ◽  
Frank J. Kern
Keyword(s):  
Robust Control ◽  
Shape Memory ◽  
Flexible Structures ◽  
Shape Memory Actuators

Globally optimal robust control for systems with time-varying nonlinear perturbations

1997 ◽  
Vol 21 ◽  
pp. S125-S130 ◽  
Author(s):  
Jeremy G. VanAntwerp ◽  
Richard D. Braatz ◽  
Nikolaos V. Sahinidis
Keyword(s):  
Robust Control ◽  
Time Varying ◽  
Nonlinear Perturbations

Robust vibration control of flexible panel: modeling and simulation

2017 ◽  
Vol 14 (5) ◽  
pp. 433-442
Author(s):  
Aalya Banu ◽  
Asan G.A. Muthalif
Keyword(s):  
Robust Control ◽  
Vibration Control ◽  
Controller Design ◽  
Control Strategies ◽  
Active Vibration Control ◽  
Flexible Structures ◽  
Parametric Uncertainty ◽  
Design Algorithm ◽  
Content Type ◽  
And Performance

Purpose This paper aims to develop a robust controller to control vibration of a thin plate attached with two piezoelectric patches in the presence of uncertainties in the mass of the plate. The main goal of this study is to tackle dynamic perturbation that could lead to modelling error in flexible structures. The controller is designed to suppress first and second modal vibrations. Design/methodology/approach Out of various robust control strategies, μ-synthesis controller design algorithm has been used for active vibration control of a simply supported thin place excited and actuated using two piezoelectric patches. Parametric uncertainty in the system is taken into account so that the robust system will be achieved by maximizing the complex stability radius of the closed-loop system. Effectiveness of the designed controller is validated through robust stability and performance analysis. Findings Results obtained from numerical simulation indicate that implementation of the designed controller can effectively suppress the vibration of the system at the first and second modal frequencies by 98.5 and 88.4 per cent, respectively, despite the presence of structural uncertainties. The designed controller has also shown satisfactory results in terms of robustness and performance. Originality/value Although vibration control in designing any structural system has been an active topic for decades, Ordinary fixed controllers designed based on nominal parameters do not take into account the uncertainties present in and around the system and hence lose their effectiveness when subjected to uncertainties. This paper fulfills an identified need to design a robust control system that accommodates uncertainties.

Discrete-Time Robust Control of Linear Periodically Time-Varying Systems

2007 ◽  
Author(s):  
S. Kalender ◽  
H. Flashner
Keyword(s):  
Robust Control ◽  
Discrete Time ◽  
Robustness Analysis ◽  
Value Theory ◽  
Time Varying ◽  
Sampled Data ◽  
Point Mapping ◽  
Time Dynamic ◽  
Time Representation ◽  
Time Varying Systems

An approach for robust control of periodically time-varying systems is proposed. The approach combines the point-mapping formulation and a parameterization of the control vector to formulate an equivalent time-invariant discrete-time representation of the system. The discrete-time representation of the dynamic system allows for the application of known sampled-data control design methodologies. A perturbed, discrete-time dynamic model is formulated and plant parametric uncertainty are obtained using a truncated point-mapping algorithm. The error bounds due to point-mapping approximation are computed and a robustness analysis problem of the system due to parametric uncertainties is formulated using structured singular value theory. The proposed approach is illustrated by two design examples. Simulation studies show good performance robustness of the control system to parameter perturbations and system nonlinearities.

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