Modal Control of Acoustic Plants

1989 ◽  
Vol 111 (3) ◽  
pp. 326-330 ◽  
Author(s):  
J. L. Dohner ◽  
R. Shoureshi
Keyword(s):  
State Space ◽  
State Space Model ◽  
Active Noise Control ◽  
Three Dimensional ◽  
Space Representation ◽  
Modal Control ◽  
Linear Quadratic ◽  
Single Input Single Output ◽  
State Space Representation ◽  
Single Output

This paper produces a three-dimensional closed loop active noise control system using modal control. A state space representation of the acoustic plant was produced and then expanded to include actuator and measurement dynamics. Using this state space model and linear quadratic gaussian control theory, a single input, single output feedback filter was produced by a well-damped system. Experimental results are given. For bandlimited noise excitation, the controller produced satisfactory results.

Time-Domain Hydroelastic Analysis of a Flexible Marine Structure Using State-Space Models

2008 ◽  
Vol 131 (1) ◽  
Author(s):  
Reza Taghipour ◽  
Tristan Perez ◽  
Torgeir Moan
Keyword(s):  
State Space ◽  
Time Domain ◽  
State Space Model ◽  
Space Representation ◽  
Regular Waves ◽  
State Space Representation ◽  
Alternative State ◽  
Marine Structure ◽  
Hydroelastic Analysis ◽  
The Mathematical Model

This article deals with time-domain hydroelastic analysis of a marine structure. The convolution terms associated with fluid memory effects are replaced by an alternative state-space representation, the parameters of which are obtained by using realization theory. The mathematical model established is validated by comparison to experimental results of a very flexible barge. Two types of time-domain simulations are performed: dynamic response of the initially inert structure to incident regular waves and transient response of the structure after it is released from a displaced condition in still water. The accuracy and the efficiency of the simulations based on the state-space model representations are compared to those that integrate the convolutions.

scholarly journals Multibody Modeling and Balance Control of a Reaction Wheel Inverted Pendulum Using LQR Controller

2021 ◽  
Vol 1 (1) ◽  
pp. 84-89
Author(s):  
Ümit Önen ◽  
Abdullah Çakan
Keyword(s):  
State Space ◽  
Inverted Pendulum ◽  
Balance Control ◽  
Space Representation ◽  
Reaction Wheel ◽  
Linear Quadratic ◽  
Pendulum System ◽  
State Space Representation ◽  
Inverted Pendulum System ◽  
Lqr Controller

In this study, modeling and LQR control of a reaction wheel inverted pendulum system is described. The reaction wheel inverted pendulum model is created by using a 3D CAD platform and exported to Simscape Multibody. The multibody model is linearized to derive a state-space representation. A LQR (Linear-quadratic regulator) controller is designed and applied for balance control of the pendulum. The results show that deriving a state-space representation from multibody is an easy and effective way to model dynamic systems and balance control of the reaction wheel inverted pendulum is successfully achieved by LQR controller. Results are given in the form of graphics.

Fixed causality slip-stick friction models for use in simulation of non-linear systems

2005 ◽  
Vol 219 (3) ◽  
pp. 199-206 ◽  
Author(s):  
D Margolis
Keyword(s):  
State Space ◽  
Sliding Friction ◽  
State Space Model ◽  
Electric Circuit ◽  
Friction Model ◽  
Space Representation ◽  
State Space Representation ◽  
System A ◽  
Friction Models ◽  
Order State

Slip-stick friction occurs when the relative velocity between sliding surfaces approaches zero and the surfaces become ‘stuck’, requiring a force larger than the sliding friction force to break the surfaces loose, allowing sliding to resume. Mathematically, these physics are an example of ‘ideal switching’ where the velocity is zero and the force is determined by other parts of the system, or the force is set by the friction model (and could be zero), and the velocity is determined by other parts of the system. A switch in an electric circuit is another example. Including ideal switches in an overall physical system model is complicated by the inversion of causality when the switch occurs. In one state the velocity is prescribed and the force is determined, and in the other state the force is prescribed and the velocity is determined. Such causal inversions create formulation and computational problems, and these problems can be quite prohibitive if many switches are part of the model. This paper presents fixed causal models for slip-stick friction that allow a single state space model to be used regardless of the number of switches. Such a development allows simulation of multiple plate brakes and clutches, or ideal rectifiers, using an explicit first-order state space representation. It should be noted that there has been extensive work in the development of models that represent the physics of friction. One such model is the LuGre model [1] where microstructural displacements are modelled. Our intent here is not to extend the physics of slip-stick friction, but rather to reasonably represent the physics while providing a computationally convenient method for including slip-stick friction in overall system models.

scholarly journals Model predictive control for a multiple injection combustion model

2021 ◽  
Vol 11 (1) ◽  
pp. 1134-1140
Author(s):  
Hoang Nguyen Khac ◽  
Amin Modabberian ◽  
Xiaoguo Storm ◽  
Kai Zenger ◽  
Jari Hyvönen
Keyword(s):  
State Space ◽  
State Space Model ◽  
Space Representation ◽  
Combustion Model ◽  
Multiple Injection ◽  
Engine Model ◽  
State Space Representation ◽  
Indicated Mean Effective Pressure ◽  
Start Of Injection ◽  
Predictive Controller

Abstract In this work, a model predictive controller is developed for a multiple injection combustion model. A 1D engine model with three distinct injections is used to generate data for identifying the state-space representation of the engine model. This state-space model is then used to design a controller for controlling the start of injection and injected fuel mass of the post injection. These parameters are used as inputs for the engine model to control the maximum cylinder pressure and indicated mean effective pressure.

scholarly journals Linear Mathematical Model for State-Space Representation of Small Scale Turbojet Engine with Variable Exhaust Nozzle

2017 ◽  
Vol 46 (1) ◽  
pp. 1 ◽  
Author(s):  
Károly Beneda ◽  
Rudolf Andoga ◽  
Ladislav Főző
Keyword(s):  
Mathematical Model ◽  
State Space ◽  
Nozzle Geometry ◽  
Space Representation ◽  
Small Scale ◽  
Linear Quadratic ◽  
Convergent Nozzle ◽  
State Space Representation ◽  
Turbojet Engine ◽  
Engine Components

The goal of this article is to develop a linear mathematical model for a small scale turbojet engine with variable convergent nozzle, and validate it on existing laboratory hardware owned by the authors’ Departments.Control of gas turbine engines plays an essential role in the safety of aviation. Although its role is constantly expanding, ranging from pilot workload reduction to detailed diagnostics, the basic competence is to regulate the thrust output of the power plant with maximum available accuracy, rapidity, stability, and robustness. The linear quadratic control is one possible solution for the above mentioned criteria.Although civil aircraft engines include fixed exhaust nozzle geometry, in military applications the exhaust nozzle geometry is also adjustable to reach optimum efficiency due to better matching of individual engine components, etc.In the present article the authors deduce the members of state space governing equations to acquire the basis of the LQ control.The established model is based on the physical laws describing the operational behavior of the engine as well as its complexity should be reduced to an acceptable level where still enough details remain to reflect the nature of the controlled object.

Dynamic Analysis of a Torsional MEMS Scanner Mirror: Part 1 — Disturbance Analysis Framework

2005 ◽  
Author(s):  
Faik Can Meral ◽  
Ipek Basdogan
Keyword(s):  
State Space ◽  
Transfer Functions ◽  
State Space Model ◽  
Time Domain Analysis ◽  
The State ◽  
Space Representation ◽  
Modeling And Analysis ◽  
Lyapunov Approach ◽  
State Space Representation ◽  
Disturbance Analysis

Future optical micro systems such as Micro Electro Mechanical Systems (MEMS) scanners and micro-mirrors will extend the resolution and sensitivity offered by their predecessors. These systems face the challenge of achieving nanometer precision subjected to various disturbances. Predicting the performance of such systems early in the design process can significantly impact the design cost and also improve the quality of the design. Our approach aims to predict the performance of such systems under various disturbance sources and develop a generalized design approach for MEMS structures. In this study, we used ANSYS for modeling and analysis of a torsional MEMS scanner mirror. ANSYS modal analysis results, which are eigenvalues (natural frequencies) and eigenvectors (modeshapes), are used to obtain the state space representation of the mirror. The state space model of the scanner mirror was reduced using various reduction techniques to eliminate the states that are insignificant for the transfer functions of interest. The results of these techniques were compared to obtain the best approach to obtain a lower order model that still contains all of the relevant dynamics of the original model. After the model size is reduced significantly, a disturbance analysis is performed using Lyapunov approach to obtain root-mean-square (RMS) values of the mirror rotation angle under the effect of a disturbance torque. The Lyapunov approach results were validated using a time domain analysis.

The Linear Optimal Control for the Mechanical Vibration Based on Remanufacturing Repaired

2013 ◽  
Vol 823 ◽  
pp. 47-51
Author(s):  
Ling Liu
Keyword(s):  
Optimal Control ◽  
State Space ◽  
Vibration Suppression ◽  
State Space Model ◽  
State Regulation ◽  
Order System ◽  
Modal Control ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Space Model

It is used by the piezoelectric ceramics sheet of positive-inverse piezoelectric effect in a set of copper alloy remanufacturing repair cantilever vibration system as the research object in the paper.A state space model have been generated on the cantilever beem mechanical structure of dynamics finite element modeling and degrees of freedom dynamic polycondensation.It is inhibited effectively when a cantilever beam subjected to external transient pulse disturbance caused by first order, two order and higher order system mode vibration,by using the linear quadratic optimal control of two state regulation for the detection of position feedback independent modal control on the basis of the state-space model. Software is used to simulate active vibration control effect.The simulation results show that the mode control inhibited have excellent effects for the repaired cantilever vibration, also analysed on the modal control parameters for the vibration suppression effect.

Temporal and Amplitude Generalization in Motor Learning

1998 ◽  
Vol 79 (4) ◽  
pp. 1825-1838 ◽  
Author(s):  
Susan J. Goodbody ◽  
Daniel M. Wolpert
Keyword(s):  
Motor Control ◽  
Motor Learning ◽  
Force Field ◽  
State Space ◽  
Single Point ◽  
Three Dimensional ◽  
Control Process ◽  
Space Representation ◽  
State Space Representation ◽  
Temporal Rate

Goodbody, Susan J. and Daniel M. Wolpert. Temporal and amplitude generalization in motor learning. J. Neurophysiol. 79: 1825–1838, 1998. A fundamental feature of human motor control is the ability to vary effortlessly over a substantial range, both the duration and amplitude of our movements. We used a three-dimensional robotic interface, which generated novel velocity dependent forces on the hand, to investigate how adaptation to these altered dynamics experienced only for movements at one temporal rate and amplitude generalizes to movements made at a different rate or amplitude. After subjects had learned to make a single point-to-point movement in a novel velocity-dependent force field, we examined the generalization of this learning to movements of both half the duration or twice the amplitude. Such movements explore a state-space not experienced during learning—any changes in behavior are due to generalization of the learning, the form of which was used to probe the intrinsic constraints on the motor control process. The generalization was assessed by determining the force field in which subjects produced kinematically normal movements. We found substantial generalization of the motor learning to the new movements supporting a nonlocal representation of the control process. Of the fields tested, the form of the generalization was best characterized by linear extrapolation in a state-space representation of the controller. Such an intrinsic constraint on the motor control process can facilitate the scaling of natural movements.

State Space Representation of the Nonself-Adjoint Acoustic Duct System

1990 ◽  
Vol 112 (4) ◽  
pp. 483-488 ◽  
Author(s):  
A. J. Hull ◽  
C. J. Radcliffe ◽  
M. Miklavcˇicˇ ◽  
C. R. MacCluer
Keyword(s):  
Frequency Response ◽  
State Space ◽  
Transient Response ◽  
State Space Model ◽  
Engineering Problem ◽  
Space Representation ◽  
Acoustic Response ◽  
Space Model ◽  
State Space Representation ◽  
Frequency Behavior

One-dimensional acoustic response of ducts is a classical engineering problem. The acoustic response in a hard-walled duct with a dissipative end condition can be visualized as a combination of standing and propagating wave response. A modal decomposition based on the system eigenvalues derived here produces an infinite order state space model incorporating this behavior. This allows computation of system transient response as well as frequency response. The shapes of duct characteristic response derived here are in stark contrast to those previously available for ducts. It is shown that the traditionally employed sinusoidal responses cannot be used to compute duct response for dissipative ends. A comparison between the frequency response of a finite order truncation of the new state space model and a previous exact frequency response is included. The new transient response of the truncated state space model is demonstrated and truncation error investigated. High frequency behavior of the state space model is discussed.

scholarly journals Three-Dimensional Crane Modelling and Control Using Euler-Lagrange State-Space Approach and Anti-Swing Fuzzy Logic

2015 ◽  
Vol 9 (1) ◽  
pp. 5-13 ◽  
Author(s):  
Andrei Aksjonov ◽  
Valery Vodovozov ◽  
Eduard Petlenkov
Keyword(s):  
Fuzzy Logic ◽  
State Space ◽  
Three Dimensional ◽  
Space Representation ◽  
Future Research ◽  
State Space Representation ◽  
Complex Motor ◽  
Integral Controller ◽  
Proportional Integral Controller ◽  
And Control

Abstract The mathematical model of the three-dimensional crane using the Euler-Lagrange approach is derived. A state-space representation of the derived model is proposed and explored in the Simulink® environment and on the laboratory stand. The obtained control design was simulated, analyzed and compared with existing encoder-based system provided by the three-dimensional (3D) Crane manufacturer Inteco®. As well, an anti-swing fuzzy logic control has been developed, simulated, and analyzed. Obtained control algorithm is compared with the existing anti-swing proportional-integral controller designed by the 3D crane manufacturer Inteco®. 5-degree of freedom (5DOF) control schemes are designed, examined and compared with the various load masses. The topicality of the problem is due to the wide usage of gantry cranes in industry. The solution is proposed for the future research in sensorless and intelligent control of complex motor driven application.

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