Design for Ease of Control and Estimation

2016 ◽  
Author(s):  
A. Galip Ulsoy
Keyword(s):  
Dynamic System ◽  
Vibration Control ◽  
Design Process ◽  
Active Vibration Control ◽  
Sequential Design ◽  
Sequential Process ◽  
Linear Quadratic ◽  
Balanced Realization ◽  
Active Vibration ◽  
Controllability And Observability

Traditionally, a dynamic system is first designed then its controller is designed in a sequential process, which offers many organizational and computational advantages. However, this sequential design approach may not lead to system optimality compared to the combined design, or co-design, of the dynamic system and its controller. It has been proposed that a control proxy function (CPF) be used in the first step of this sequential design process to achieve, or approach, system-optimality. This paper considers the use of a CPF based on controllability and observability Gramians and a balanced realization to ensure the design of the dynamic system for both ease of control and estimation. The proposed approach is illustrated using an example of linear quadratic design for combined passive and active vibration control.

Active Vibration Control of Smart Hull Structure Using Piezoelectric Composite Actuators

2008 ◽  
Vol 47-50 ◽  
pp. 137-140 ◽  
Author(s):  
Jung Woo Sohn ◽  
Seung Bok Choi
Keyword(s):  
Vibration Control ◽  
Fiber Composite ◽  
Equations Of Motion ◽  
Active Vibration Control ◽  
Piezoelectric Composite ◽  
Governing Equations ◽  
Linear Quadratic ◽  
Element Analysis ◽  
Hull Structure ◽  
Active Vibration

In this paper, active vibration control performance of the smart hull structure with Macro-Fiber Composite (MFC) is evaluated. The governing equations of motion of the hull structure with MFC actuators are derived based on the classical Donnell-Mushtari shell theory. Subsequently, modal characteristics are investigated and compared with the results obtained from finite element analysis and experiment. The governing equations of vibration control system are then established and expressed in the state space form. Linear Quadratic Gaussian (LQG) control algorithm is designed in order to effectively and actively control the imposed vibration. The controller is experimentally realized and control performances are evaluated.

A novel optimal configuration of sensor and actuator using a non-linear integer programming genetic algorithm for active vibration control

2017 ◽  
Vol 28 (15) ◽  
pp. 2074-2081 ◽  
Author(s):  
Chunyou Zhang ◽  
Lihua Wang ◽  
Xiaoqiang Wu ◽  
Weijin Gao
Keyword(s):  
Genetic Algorithm ◽  
Integer Programming ◽  
Vibration Control ◽  
Active Vibration Control ◽  
Flexible Structures ◽  
Linear Quadratic ◽  
Linear Integer Programming ◽  
Optimal Criterion ◽  
Non Linear ◽  
Active Vibration

Due to widespread applications of a large number of flexible structures, to obtain the best dynamic control performance of a system, optimal locations of the actuators and sensors are necessary to be determined. This article proposes a novel optimal criterion for the actuators or sensors ensuring good controllability or observability of a structure, and also considering the remaining modes to control the spillover effect. Based on the proposed optimization criteria, a non-linear integer programming genetic algorithm is employed to achieve the optimal configurations. Active vibration control is investigated for a cantilever plate with the actuators in optimal positions to suppress the specified modes utilizing linear quadratic regulator controller. Several simulation results validate the efficiency and feasibility of the proposed optimal criteria.

Active Residual Vibration Control for Flexible Robot Manipulator Systems

1998 ◽  
Author(s):  
Zhang Xianmin ◽  
Song Li ◽  
Liu Jike
Keyword(s):  
Vibration Control ◽  
Control Method ◽  
Robot Manipulator ◽  
Active Vibration Control ◽  
Computational Method ◽  
Beam Model ◽  
Flexible Robot ◽  
Linear Quadratic ◽  
Active Vibration ◽  
Optimal Control Scheme

Abstract In this paper, a mathematical model for flexible robot manipulators with smart links featuring piezoelectric films is developed in conjunction with the finite element method. The dynamics of piezoelectric actuators and strain gage sensors bonded on the flexible links are presented for beam model. Theory and measures of active vibration control for flexible manipulators are studied based on the modal and modern control theory, and the correspondent optimal control scheme is proposed. The robust control low is formulated based on the modified independent modal control method and the Linear Quadratic theory. The computational method for the actual control moments and the control voltages are also presented.

scholarly journals Active Vibration Control of the Sting Used in Wind Tunnel: Comparison of Three Control Algorithms

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Xing Shen ◽  
Yuke Dai ◽  
Mingxuan Chen ◽  
Lei Zhang ◽  
Li Yu
Keyword(s):  
Optimal Control ◽  
Wind Tunnel ◽  
Vibration Control ◽  
Control Algorithm ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Real Time Control ◽  
Linear Quadratic ◽  
Control Effort ◽  
Active Vibration

In wind tunnel tests, cantilever stings are often used as model-mount in order to reduce flow interference on experimental data. In this case, however, large-amplitude vibration and low-frequency vibration are easily produced on the system, which indicates the potential hazards of gaining inaccurate data and even damaging the structure. This paper details three algorithms, respectively, Classical PD Algorithm, Artificial Neural Network PID (NNPID), and Linear Quadratic Regulator (LQR) Optimal Control Algorithm, which can realize active vibration control of sting used in wind tunnel. The hardware platform of the first-order vibration damping system based on piezoelectric structure is set up and the real-time control software is designed to verify the feasibility and practicability of the algorithms. While the PD algorithm is the most common method in engineering, the results show that all the algorithms can achieve the purpose of over 80% reduction, and the last two algorithms perform even better. Besides, self-tuning is realized in NNPID, and with the help of the Observer/Kalman Filter Identification (OKID), LQR optimal control algorithm can make the control effort as small as possible. The paper proves the superiority of NNPID and LQR algorithms and can be an available reference for vibration control of wind tunnel system.

scholarly journals Active Vibration Control of a Helicopter Rotor Blade by Using a Linear Quadratic Regulator

2018 ◽  
Author(s):  
Md Mosleh Uddin ◽  
Pratik Sarker ◽  
Colin R. Theodore ◽  
Uttam K. Chakravarty
Keyword(s):  
Vibration Control ◽  
Rotor Blade ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Control Technique ◽  
Helicopter Rotor ◽  
Optimum Level ◽  
Linear Quadratic ◽  
Helicopter Rotor Blade ◽  
Active Vibration

Active vibration control is a widely implemented method for helicopter vibration control. Due to the significant progress in the microelectronics, this technique outperforms the traditional passive control technique due to the weight penalty and lack of adaptability for the changing flight conditions. In this paper, an optimal controller is designed to attenuate the helicopter rotor blade vibration. The mathematical model of the triply coupled vibration of the rotating cantilever beam is used to develop the state-space model of an isolated rotor blade. The required natural frequencies are determined by the modified Galerkin method and only the principal aerodynamic forces acting on the structure are considered. Linear quadratic regulator is designed to achieve the vibration reduction at the optimum level and the controller is tuned for the hovering and forward flight.

Active Vibration Control for a Machine Tool With Parallel Kinematics and Adaptronic Actuator

2009 ◽  
Vol 4 (3) ◽  
Author(s):  
Alexandra Ast ◽  
Peter Eberhard
Keyword(s):  
Machine Tool ◽  
Vibration Control ◽  
Position Control ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Parallel Kinematics ◽  
Linear Quadratic ◽  
Control Approach ◽  
Authority Control ◽  
Active Vibration

The use of adaptronic components opens up interesting new possibilities for modern machine tools such as parallel kinematics. In this paper, two active vibration control concepts are designed for an adaptronic component of a parallel kinematic machine tool. The machine tool is modeled as a flexible multibody system model including a nonlinear flatness-based position control. Both the combination of a frequency shaped linear quadratic regulator with an active damping concept in a high authority control/low authority control approach and the H2 optimal control with gain scheduling show a high potential in the simulation to significantly increase the disturbance rejection or the tracking performance of the machine tool.

Semi Active Vibration Control of a Passenger Car Using Magnetorheological Shock Absorber

2010 ◽  
Author(s):  
Ali Fellah Jahromi ◽  
A. Zabihollah
Keyword(s):  
Vibration Control ◽  
Control Algorithm ◽  
Shock Absorber ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Suspension System ◽  
Linear Quadratic ◽  
Passenger Car ◽  
Road Profile ◽  
Active Vibration

A novel semi-active control system for suspension systems of passenger car using Magnetorheological (MR) damper is introduced. The suspension system is considered as a massspring model with an eight-degrees-of-freedom, a passive damper and an active damper. The semi-active vibration control is designed to reduce the amplitude of automotive vibration caused by the alteration of road profile. The control mechanism is designed based on the optimal control algorithm, Linear Quadratic Regulator (LQR). In this system, the damping coefficient of the shock absorber changes actively trough inducing magnetic field. It is observed that utilizing the present control algorithm may significantly reduce the vibration response of the passenger car, thus, providing comfortable drive. The new developed suspension system may lead to design and manufacturing of passenger car in which the passenger may not feel the changes in road profile from highly bumpy to smooth profile.

Determination of State Space Matrices for Active Vibration Control Using ANSYS Finite Element Package

2012 ◽  
Author(s):  
A. H. Daraji ◽  
J. M. Hale
Keyword(s):  
Finite Element ◽  
Vibration Control ◽  
State Space ◽  
Active Vibration Control ◽  
Linear Quadratic Control ◽  
Linear Quadratic ◽  
Sensors And Actuators ◽  
Sensor Actuator ◽  
Finite Element Package ◽  
Active Vibration

This paper concerns optimal placement of discrete piezoelectric sensors and actuators for active vibration control, using a genetic algorithm based on minimization of linear quadratic index as an objective function. A new method is developed to get state space matrices for simple and complex structures with bonded sensors and actuators, using the ANSYS finite element package taking into account piezoelectric mass, stiffness and electromechanical coupling effects. The state space matrices for smart structures are highly important in active vibration control for the optimisation of sensor and actuator locations and investigation of open and closed loop system control response, both using simulation and experimentally. As an example, a flexible flat plate with bonded sensor/actuator pairs is represented in ANSYS using three dimensional SOLID45 elements for the passive structure and SOLID5 for the piezoelectric elements, from which the necessary state space matrices are obtained. To test the results, the plate is mounted as a cantilever and two sensor/actuator pairs are located at the optimal locations. These are used to attenuate the first six modes of vibration using active vibration reduction based on a classical and optimal linear quadratic control scheme. The plate is subject to forced vibration at the first, second and third natural frequencies and represented in ANSYS using a proportional derivative controller and compared with a Matlab model based on ANSYS state space matrices using linear quadratic control. It is shown that the ANSYS state space matrices describe the system efficiently and correctly.

Dynamic model and active vibration control of a membrane antenna structure

2017 ◽  
Vol 24 (18) ◽  
pp. 4282-4296 ◽  
Author(s):  
Xiang Liu ◽  
Guoping Cai ◽  
Fujun Peng ◽  
Hua Zhang
Keyword(s):  
Vibration Control ◽  
Dynamic Model ◽  
Active Vibration Control ◽  
Piezoelectric Actuators ◽  
Dynamic Responses ◽  
Linear Quadratic ◽  
Particle Swarm Optimizer ◽  
Control Cost ◽  
Antenna Structure ◽  
Active Vibration

This paper studies a dynamic model and active vibration control of a membrane antenna structure. Based on the finite element method (FEM), the dynamic model of the membrane antenna structure is established. Piezoelectric actuators are used to suppress the vibration of the structure and their optimal locations on the membrane are determined using the optimization method, where an efficient numerical criterion depended on controllability Grammian is used as optimization criterion and the particle swarm optimizer (PSO) is used as optimization algorithm. Active controllers are designed by the classical linear quadratic regulator (LQR) method. Simulation results indicate that the vibration modes and dynamic responses obtained by the dynamic model established in this paper coincide well with the results of the software ABAQUS; vibration of the structure can be suppressed effectively by the piezoelectric actuators, and optimal placed actuators not only can produce better control effectiveness but also need smaller control cost.

scholarly journals Deflection and Vibration Control of Laminated Plates Using Extension and Shear Actuated Fiber Composites

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
S. Raja ◽  
Tadashige Ikeda ◽  
D. Dwarakanathan
Keyword(s):  
Vibration Control ◽  
Numerical Study ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Laminated Plates ◽  
Piezoelectric Composite ◽  
Linear Quadratic ◽  
Plate Length ◽  
Isoparametric Finite Element ◽  
Active Vibration

The use of surface bonded and embedded piezoelectric composite actuators is examined through a numerical study. Modelling schemes are therefore developed by applying the isoparametric finite element approach to idealise extension-bending and shear-bending couplings due to piezoelectric actuations. A modal control based linear quadratic regulator is employed to perform the active vibration control studies. Influence of shear actuation direction and its width has been examined and interesting deflection patterns are noticed. The through width SAFC develops a constant deflection beyond its length along the laminated plate length. In contrast, segmented SAFC produces a moderate to linearly varying deflection pattern. MFC actuators have shown promising features in vibration control performances. Nevertheless, closed loop damping presents the efficiency of SAFC in the vibration control application. It is therefore envisaged that optimally actuated smart laminates can be designed using MFC and SAFC to efficiently counteract the disturbance forces.

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