• Title/Summary/Keyword: Multiple-pendulum

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Stochastic Responses of a Spring-Pendulum System under Narrow Band Random Excitation (협대역 불규칙가진력을 받는 탄성진자계의 확률적 응답특성)

  • Cho, Duk-Sang
    • Journal of the Korean Society of Industry Convergence
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    • v.4 no.2
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    • pp.133-139
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    • 2001
  • The nonlinear response statistics of an spring-pendulum system with internal resonance under narrow band random excitation is investigated analytically- The center frequency of the filtered excitation is selected to be close to natural frequency of directly excited spring mode. The Fokker-Planck equations is used to generate a general first-order differential equation in the dynamic moment of response coordinates. By means of the Gaussian closure method the dynamic moment equations for the random responses of the system are reduced to a system of autonomous ordinary differential equations. The nonlinear phenomena, such as jump and multiple solutions, under narrow band random excitation were found by Gaussian closure method.

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Vibration Suppression of Moving Suspended Systems by Wave Absorption Control

  • Saigo, Muneharu;Nam, Dong-Ho
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • v.6 no.1
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    • pp.30-37
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    • 2003
  • This paper describes vibration control of a suspended system using wave absorption method. A moving multiple-pendulum system and a moving wire-and-load system are treated. The wire-and-load system is extended to a model crane system that has a motor system to roll up and down the suspended mass like a real crane. The same program with different parameter values controls these three systems. Both numerical simulation and experiment have been conducted, and the present control method has shown to be quite effective.

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Design of Multiple Controller Based on Fuzzy Inference System for Control of Ultrasonic Motor (초음파 모터 제어를 위한 퍼지 추론 시스템 기반 다중 제어기 설계)

  • 민병우;최재원
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.258-258
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    • 2000
  • In this paper, we present the position control of pendulum system which is driven by a ultrasonic motor. Since the system's response is different for each initial position of pendulum, it is difficult to obtain the satisfiable control performance by using a neural network which is learned by off-line. To overcome this problem, we propose the multiple controller based on fuzzy inference system for ultrasonic motor. and controller is designed by neural network. The proposed method shows good performance for any initial positions and it's effectiveness is verified from experiments. We expect that ultrasonic motor can be used as actuators of robot's leg or manipulator.

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Comparison of seismic behavior of long period SDOF systems mounted on friction isolators under near-field earthquakes

  • Loghman, Vahid;Khoshnoudian, Faramarz
    • Smart Structures and Systems
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    • v.16 no.4
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    • pp.701-723
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    • 2015
  • Friction isolators are one of the most important types of bearings used to mitigate damages of earthquakes. The adaptive behavior of these isolators allows them to achieve multiple levels of performances and predictable seismic behavior during different earthquake hazard levels. There are three main types of friction isolators. The first generation with one sliding surface is known as Friction Pendulum System (FPS) isolators. The double concave friction pendulum (DCFP) with two sliding surfaces is an advanced form of FPS, and the third one, with fully adaptive behavior, is named as triple concave friction pendulum (TCFP). The current study has been conducted to investigate and compare seismic responses of these three types of isolators. The structure is idealized as a two-dimensional single degree of freedom (SDOF) resting on isolators. The coupled differential equations of motion are derived and solved using state space formulation. Seismic responses of isolated structures using each one of these isolators are investigated under seven near fault earthquake motions. The peak values of bearing displacement and base shear are studied employing the variation of essential parameters such as superstructure period, effective isolation period and effective damping of isolator. The results demonstrate a more efficient seismic behavior of TCFP isolator comparing to the other types of isolators. This efficiency depends on the selected effective isolation period as well as effective isolation damping. The investigation shows that increasing the effective isolation period or decreasing the effective isolation damping improves the seismic behavior of TCFP compared to the other isolators. The maximum difference in seismic responses, the base shear and the bearing displacement, for the TCFP isolator are calculated 26.8 and 13.4 percent less than the DCFP and FPS in effective isolation damping equal to10%, respectively.

CMAC Learning Controller Implementation With Multiple Sampling Rate: An Inverted Pendulum Example (다중 샘플링 타임을 갖는 CMAC 학습 제어기 실현: 역진자 제어)

  • Lee, Byoung-Soo
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.4
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    • pp.279-285
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    • 2007
  • The objective of the research is two fold. The first is to design and propose a stable and robust learning control algorithm. The controller is CMAC Learning Controller which consists of a model-based controller, such as LQR or PID, as a reference control and a CMAC. The second objective is to implement a reference control and CMAC at two different sampling rates. Generally, a conventional controller is designed based on a mathematical plant model. However, increasing complexity of the plant and accuracy requirement on mathematical models nearly prohibits the application of the conventional controller design approach. To avoid inherent complexity and unavoidable uncertainty in modeling, biology mimetic methods have been developed. One of such attempts is Cerebellar Model Articulation Computer(CMAC) developed by Albus. CMAC has two main disadvantages. The first disadvantage of CMAC is increasing memory requirement with increasing number of input variables and with increasing accuracy demand. The memory needs can be solved with cheap memories due to recent development of new memory technology. The second disadvantage is a demand for processing powers which could be an obstacle especially when CMAC should be implemented in real-time. To overcome the disadvantages of CMAC, we propose CMAC learning controller with multiple sampling rates. With this approach a conventional controller which is a reference to CMAC at high enough sampling rate but CMAC runs at the processor's unoccupied time. To show efficiency of the proposed method, an inverted pendulum controller is designed and implemented. We also demonstrate it's possibility as an industrial control solution and robustness against a modeling uncertainty.

A Fuzzy Model Based Sensor Fault Detection Scheme for Nonlinear Dynamic Systems (퍼지모델을 이용한 비선형시스템의 센서고장 검출식별)

  • Lee, Kee-Sang
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.2
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    • pp.407-414
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    • 2007
  • A sensor fault detection scheme(SFDS) for a class of nonlinear systems that can be represented by Takagi-Sugeno fuzzy model is proposed. Basically, the SFDS may be considered as a multiple observer scheme(MOS) in which the bank of state observers and the detection & isolation logic are included. However, the proposed scheme has two great differences from the conventional MOSs. First, the proposed scheme includes fuzzy fault detection observers(FFDO) that are constructed based on the T-S fuzzy model that provides very good approximation to nonlinear dynamic systems. Secondly, unlike the conventional MOS, the FFDOS are driven not parallelly but sequentially according to the predetermined sequence to avoid the massive computational burden, which is known to be the biggest obstacle to the practical application of the multiple observer based FDI schemes. During the operating time, each FFDO generates the residuals carrying the information of a specified fault, and the corresponding fault detection logic unit performs the logical operations to detect and isolate the fault of interest. The proposed scheme is applied to an inverted pendulum control system for sensor fault detection/isolation. Simulation study shows the practical feasibility of the proposed scheme.

Quantitative Evaluation of Spasticity through Separation of Reflex and Mechanical Component Related to Spasticity in Hemiplegic Patients (편마비 환자 경직의 반사적 및 역학적 성분의 분리를 통한 경직의 정량적 평가)

  • Kim, Chul-Seung;Eom, Gwang-Moon;Kim, Ji-Won;Ryu, Je-Chung;Kang, Sung-Jae;Kim, Yo-Han;Park, Byung-Kyu
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.7
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    • pp.142-149
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    • 2009
  • The aim of this study was to identify both the mechanical and reflex properties associated with spasticity in hemiplegic patients. Ten hemiplegic patients were included in this study. Multiple pendulum tests were executed for each subject, and knee joint angle and EMG of Rectus Femoris muscle were measured. The neuromusculoskeletal system model was developed from generally accepted mechanism and identified through minimization of the error in the model-predicted pendulum trajectories. The identification was successful in terms of small error in simulated kinematics and high sensitivity and precision of simulated torque against EMG activity. The reflex threshold showed significant difference between different clinical scores (p<0.01) and significant negative correlation (r=-0.93) with the EMG duration. It is expected that the suggested method may help in understanding mechanisms underlying spasticity.

The Design of Multi-Objective $H_2/H_{\infty}$ Controllers for multiple linear Time-invariant models (다중 선형 시불변 모델에 대한 다목적 $H_2/H_{\infty}$ 제어기 설계)

  • Cho, Do-Hyeoun;Won, Young-Jin;Lee, Jong-Yong
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.42 no.3
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    • pp.13-18
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    • 2005
  • This paper presents a design of a multi-objective $H_2/H_{\infty}$ controller of an inverted pendulum with polytopic model by the stabilizing regulator and tracking performances. Multi-objective controllers are designed for polytopic models by the LMI design technique with convex algorithms. It is observed that the inverted pendulum controlled by any controller designed for each polytopic model is stably restored to the vertical angle position for initial values of larger tilt angles.

Fuzzy Inference System Based Multiple Neural Network Controllers for Position Control of Ultrasonic Motor (퍼지 추론 시스템 기반의 다중 신경회로망 제어기를 이용한 초음파 모터의 위치제어)

  • Choi, Jae-Weon;Min, Byung-Woo;Park, Un-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.4
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    • pp.209-218
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    • 2001
  • Ultrasonic motors are newly developed motors which are expected to be useful as actuators in many practical systems such as robot arms or manipulators because of several advantages against the electromagnetic motors. However, the precise control of the ultrasonic motor is generally difficult due to the absence of appropriate and rigorous mathematical model. Furthermore, owing to heavy nonlinearity, the position control of a pendulum system driven by the ultrasonic motor has a problem that control method using multiple neural network controllers based on a fuzzy inference system that can determine the initial position of the pendulum in the beginning of control operation. In addition, and appropriate neural network controller that has been learned to operate well at the corresponding initial position is adopted by switching schemes. The effectiveness of the proposed method was verified and evaluated from real experiments.

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Development of a Moving Platform for a Upright Running Mobile Robot Based on an Inverted Pendulum Mechanism (역진자 기구에 기반한 직립주행 가능 이동로봇용 구동 플랫폼 개발)

  • Lee, Se-Han;Rhee, Sang-Yong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.5
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    • pp.570-576
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    • 2012
  • In this research a moving platform for a mobile robot which can run with upright posture is proposed. It is able to stand with standing arms and run uprightly based on an inverted pendulum mechanism. Conventional mobile robots generally may equip 4 wheels or 3 wheels including a caster and have good statistic stability. They need a steering mechanism to choose which way to go since they have a square or rectangular configuration with multiple wheels. When a mobile robot meets a sharply perpendicular and narrow crossroad, it may need a special steering scheme such as going forward and backward repeatedly or it sometimes cannot even pass through the crossroad because of its size. The proposed moving platform for a mobile robot changes to a upright posture which has a small planar area and is able to pass through the crossroad. We propose a moving platform for a mobile robot with a inverted pendulum mechanism and standing arms which can make the mobile robot upright.