Active vibration control using LMI-based mixed H/sub 2//H/sub ∞/ state and output feedback control with nonlinearity

2002 ◽  
Author(s):  
K. Nonami ◽  
S. Sivrioglu
Keyword(s):  
Feedback Control ◽  
Vibration Control ◽  
Output Feedback ◽  
Active Vibration Control ◽  
Output Feedback Control ◽  
Active Vibration

Simulation Study of Active Vibration Control of Cantilever Beam by Using State and Output Feedback Control Laws

2013 ◽  
Author(s):  
S. M. Khot ◽  
Nitesh P. Yelve ◽  
Raj Nair
Keyword(s):  
Mathematical Model ◽  
Feedback Control ◽  
Vibration Control ◽  
Output Feedback ◽  
Active Vibration Control ◽  
Output Feedback Control ◽  
Full Model ◽  
Control Laws ◽  
Active Vibration ◽  
The Mathematical Model

Undesired noise and vibrations have a detrimental effect in many areas. Hence the control of vibrations has become a relevant technological challenge. Active vibration control of structures using smart materials especially is in vogue. It involves sensing the motion of the structure using sensors, generating a control signal using a controller and applying a control force on the structure using actuators. To design the control system of any vibrating structure, the mathematical model of the system is required. However, it is not possible, to theoretically construct the model of complex structures. On the other hand, it is relatively simpler to model such systems in an Finite Element (FE) environment like ANSYS©. This paper deals with the extraction of the mathematical model of a cantilever beam from its FEA model. This procedure of extraction is applicable to any mechanical system under dynamics study. Then again, the matrices thus formed are usually very large and require a lot of computational time to process. Hence an attempt is made to construct the reduced model of the system which approximates the actual model to the desired extent. In this paper, the full model of the beam is reduced by discarding those modes which do not contribute to the overall response on the basis of their dc gains in MATLAB©. It is found that the frequency and transient responses of the full and reduced models match closely. Hence the reduced model may be used to represent the system instead of the full model with reasonable accuracy. Design of controller is attempted using the theory of state and output feedback control laws. The controller is modeled by calculating the optimal control gain by formulating an algorithm to solve the equations involved. The transient and frequency responses of the controlled full model and reduced models are then plotted. The procedure for designing controller described in this paper may be extended to any real world system.

A comparison of active vibration control techniques - Output feedback vs optimal control

1987 ◽  
Author(s):  
ZORAN MARTINOVIC ◽  
RAPHAEL HAFTKA ◽  
WILLIAM HALLAUER, JR. ◽  
GEORGE SCHAMEL, II
Keyword(s):  
Optimal Control ◽  
Vibration Control ◽  
Output Feedback ◽  
Active Vibration Control ◽  
Control Techniques ◽  
Active Vibration

Active Vibration Control of Storage and Retrieval Machines

2008 ◽  
Author(s):  
Daniel Go¨rges ◽  
Jens Kroneis ◽  
Steven Liu
Keyword(s):  
Feedback Control ◽  
Vibration Control ◽  
Trajectory Planning ◽  
Active Vibration Control ◽  
Beam Theory ◽  
State Feedback Control ◽  
Dimensional Model ◽  
Euler Beam ◽  
Storage And Retrieval ◽  
Active Vibration

In this paper a novel concept for active vibration control of storage and retrieval machines is presented. The storage and retrieval machine is modeled based on the Bernoulli-Euler beam theory, yielding an infinite-dimensional model, and the assumed modes method in order to obtain a finite-dimensional model. The resulting model is of low order, a fourth-order model regarding the first and the second eigenfrequency describes the dynamics sufficiently. The model is verified on an experimental storage and retrieval machine. Several active vibration control strategies are studied, including trajectory planning approaches like higher-order trajectory planning, feedforward control approaches like trajectory filtering and input shaping, and feedback control approaches like state-feedback control. The strategies are evaluated by simulation and compared via performance measures.

Vibration Control of a Beam Using the Nearly Optimal Control Algorithm with a Disturbance Force Observer

2001 ◽  
Vol 17 (4) ◽  
pp. 173-177
Author(s):  
Der-An Wang ◽  
Yii-Mai Huang
Keyword(s):  
Optimal Control ◽  
Feedback Control ◽  
Vibration Control ◽  
Feedforward Control ◽  
Active Vibration Control ◽  
Asymptotic Properties ◽  
Control Law ◽  
Flexible Beam ◽  
Active Vibration ◽  
Modal Space

ABSTRACTActive vibration control of a flexible beam subjected to arbitrary, unmeasurable disturbance forces is investigated in this paper. The concept of independent modal space control is adopted. Both the feedforward and feedback control is implemented here to reduce the beam vibration. Because of the existence of the disturbance forces, the feedforward control is applied by employing the idea of force cancellation. A modal space disturbance force observer is then established in this paper to observe the disturbance modal forces for the feedforward control. For obtaining the feedforward and feedback control gains with the optimal sense, the nearly optimal control law is derived, where the modal disturbance forces are regarded as additional states. The vibration control performances and the asymptotic properties of the control law are discussed.

Spacecraft Vibration Suppression Using Variable Structure Output Feedback Control and Smart Materials

2005 ◽  
Vol 128 (2) ◽  
pp. 221-230 ◽  
Author(s):  
Qinglei Hu ◽  
Guangfu Ma
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Smart Materials ◽  
Vibration Suppression ◽  
Angular Rate ◽  
Output Feedback Control ◽  
Variable Structure ◽  
Linear Feedback ◽  
Active Vibration ◽  
Attitude Controller

A hybrid control scheme for vibration reduction of flexible spacecraft during rotational maneuvers is investigated by using variable structure output feedback control (VSOFC) for attitude control and smart materials for active vibration suppression. The proposed control design process is twofold: design of the attitude controller using VSOFC theory acting on the hub and design of an independent flexible vibration controller acting on the flexible part using piezoceramics as sensors and actuators to actively suppress certain flexible modes. The attitude controller, using only the attitude and angular rate measurement, consists of a linear feedback term and a discontinuous feedback term, which are designed so that the sliding surface exists and is globally reachable. With the presence of this attitude controller, an additional independent flexible control system acting on the flexible parts is designed for further vibration suppression. Using the piezoelectric materials as actuator/sensor, both single-mode vibration suppression and multimode vibration suppression are studied and compared for the different active vibration control algorithms, constant-gain negative velocity feedback (CGNVF) control, positive position feedback (PPF) control, and linear-quadratic Gaussian (LQG) control. Numerical simulations demonstrate that the proposed approach can significantly reduce the vibration of the flexible appendages and further greatly improve the precision during and after the maneuver operations.

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