• Title/Summary/Keyword: Linearization Method

Search Result 484, Processing Time 0.024 seconds

Control of Nonlinear Crane Systems with Perturbation using Model Matching Approach (모델매칭 기법을 이용한 시스템 섭동을 갖는 비선형 크레인시스템 제어)

  • Cho, Hyun-Cheol;Lee, Jin-Woo;Lee, Young-Jin;Lee, Kwon-Soon
    • Journal of Navigation and Port Research
    • /
    • v.31 no.6
    • /
    • pp.523-530
    • /
    • 2007
  • Crane systems are very important in industrial fields to carry heavy objects such that many investigations about control of the systems are actively conducted for enhancing its control performance. This paper presents an adaptive control approach using the model matching for a complex 3-DOF nonlinear crane system. First, the system model is linearized through feedback linearization method and then PD control is applied in the approximated model. This linear model is considered as nominal to derive corrective control law for a perturbed crane model using Lyapunov theory. This corrective control is primitively aimed to compensate real-time control deviation due to partially known perturbation. We additionally study stability analysis of the crane control system using Lyapunov perturbation theory. Evaluation of our control approach is numerically carried out through computer simulation and its superiority is demonstrated comparing with the classical control.

A Study on Repetitive Tracking Control of a Coarse-Fine Actuator (조미동 구동기의 반복추종제어에 관한 연구)

  • Choi, Gi-Sang;Oh, Jong-Hyun;Choi, Gi-Heung
    • Journal of the Korean Institute of Telematics and Electronics T
    • /
    • v.36T no.4
    • /
    • pp.38-46
    • /
    • 1999
  • This paper discusses the repetitive tracking control method for a coarse-fine actuator. The proposed system is composed of a magnetic linear drive as a coarse actuator and a piezoelectric linear positioner as a fine actuator. In particular, nonlinear friction in a magnetic linear drive and hysteresis characteristic of a piezoelectric linear positioner are modeled first. The feedback linearization loop uses these models in tracking position control. The control strategy is then further extended to include a repetitive control algorithm in tracking periodic reference inputs. This repetitive controller is implemented on the existing PID controller augmented with feedback linearization loop. The experimental results show that performance in tracking sinusoidal waveforms is noticeably improved by augmenting a PID controller with feedback linearization loop and a repetitive controller together.

  • PDF

Design and Validation of Model Inversion Flight Control Law for Fly By Wire Helicopter (FBW 헬리콥터 모델 역변환 비행제어법칙 설계 및 검증)

  • Kim, Chong-Sup;Cho, In-Je;Lee, Seung-Duck;Lee, Han-Ju
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.40 no.8
    • /
    • pp.678-687
    • /
    • 2012
  • The Fly-By-Wire(FBW) flight control system is essential to improve the stability and flying quality of the helicopter. Advanced aerospace companies, such as Bell-Sikorsky (USA) and NHI (European Consortium), have already applied the FBW flight control system to manufacture V-22 and NH-90 helicopters, respectively. This paper addresses the development of control law design using model inversion method improve the hover and low speed handling qualities of helicopter based on BO-105 model in 'Day' and 'Degraded visual environments(DVEs)' in accordance with ADS-33E-PRF. Design parameters are optimized to satisfy the handling qualities specification using Control Designer's Unified Interface (CONDUIT) commercial control law software. The result of the analysis based on CONDUIT and non-real time simulation in-house software, HETLAS (HElicopter Trim Linearization And Simulation) reveals that the provides an efficient mean to achieve Level 1 handling qualities.

Application of Linear Goal Programming to Large Scale Nonlinear Structural Optimization (대규모 비선형 구조최적화에 관한 선형 goal programming의 응용)

  • 장태사;엘세이드;김호룡
    • Computational Structural Engineering
    • /
    • v.5 no.1
    • /
    • pp.133-142
    • /
    • 1992
  • This paper presents a method to apply the linear goal programming, which has rarely been used to the structural opimization problem due to its unique formulation, to large scale nonlinear structural optimization. The method can be used as a multicriteria optimization tool since goal programming removes the difficulty in defining an objective function and constraints. The method uses the finite element analysis, linear goal programming techniques and successive linearization to obtain the solution for the nonlinear goal optimization problems. The general formulation of the structural optimization problem into a nonlinear goal programming form is presented. The successive linearization method for the nonlinear goal optimization problem is discussed. To demonstrate the validity of the method, as a design tool, the minimum weight structural optimization problems with stress constraints are solved for the cases of 10, 25 and 200 trusses and compared with the results of the other works.

  • PDF

A Study on the Method for Dynamic Response Analysis in Frequency Domain of an Offshore Wind Turbine by Linearization of Equations of Motion for Multibody (다물체계 운동 방정식 선형화를 통한 해상 풍력 발전기 동적 거동의 주파수 영역 해석 방법에 관한 연구)

  • Ku, Namkug;Roh, Myung-Il;Ha, Sol;Shin, Hyun-Kyoung
    • Korean Journal of Computational Design and Engineering
    • /
    • v.20 no.1
    • /
    • pp.84-92
    • /
    • 2015
  • In this study, we describe a method to analysis dynamic behavior of an offshore wind turbine in the frequency domain and expected effects of the method. An offshore wind turbine, which is composed of platform, tower, nacelle, hubs, and blades, can be considered as multibody systems. In general, the dynamic analysis of multibody systems are carried out in the time domain, because the equations of motion derived based on the multibody dynamics are generally nonlinear differential equations. However, analyzing the dynamic behavior in time domain takes longer than in frequency domain. In this study, therefore, we describe how to analysis the system multibody systems in the frequency domain. For the frequency domain analysis, the non-linear differential equations are linearized using total derivative and Taylor series expansions, and then the linearized equations are solved in time domain. This method was applied to analysis of double pendulum system for the verification of its effectiveness, and the equations of motion for the offshore wind turbine was derived with assuming that the wind turbine is rigid multibody systems. Using this method, the dynamic behavior analysis of the offshore wind turbine can be expected to take less time.

Stability Analysis of the Optimal Semi-Trailer Vehicles

  • Mongkolwongrojn, M.;Campanyim, P.
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2004.08a
    • /
    • pp.248-251
    • /
    • 2004
  • Stability of truck and trailer are the most significance in Thai automotive industry. This paper presents the mathematical model of a six-degree-of-freedom semi-trailer vehicle. Search method was implemented to obtain the optimum design variables of the trailer which are the distance from the fifth wheel to the centroid of the trailer and the distance from the centroid of the trailer to the trailer axel. The objective function is to minimize the steady side slip velocity, steady-state yawing velocity and steady-state angle between the tractor and the trailer. From the calculation , the optimum distance from the fifth wheel to the centroid of the trailer and the optimum distance from the centroid of the trailer to the trailer axle are 5.50 and 3.25 meters respectively. The stability of the optimal semi-trailer vehicle was also examined in steady state. The steady side slip velocity, yawing velocity and the angle between tractor and trailer are also obtained using linearization technique under unit step disturbance of the tractor front wheel steering angle.

  • PDF

Linearization Technique for Bang-Bang Digital Phase Locked-Loop by Optimal Loop Gain Control (최적 루프 이득 제어에 의한 광대역 뱅뱅 디지털 위상 동기 루프 선형화 기법)

  • Hong, Jong-Phil
    • Journal of the Institute of Electronics and Information Engineers
    • /
    • v.51 no.1
    • /
    • pp.90-96
    • /
    • 2014
  • This paper presents a practical linearization technique for a wide-band bang-bang digital phase locked-loop(BBDPLL) by selecting optimal loop gains. In this paper, limitation of the theoretical design method for BBDPLL is explained, and introduced how to implement practical BBDPLLs with CMOS process. In the proposed BBDPLL, the limited cycle noise is removed by reducing the proportional gain while increasing the integer array and dither gain. Comparing to the conventional BBDPLL, the proposed one shows a small area, low power, linear characteristic. Moreover, the proposed design technique can control a loop bandwidth of the BBDPLL. Performance of the proposed BBDPLL is verified using CppSim simulator.

A Research on the Magnitude/Phase Asymmetry Measurement Technique of the RF Power Amplifier Based on the Predistortive Tone Cancellation Technique

  • Choi, Heung-Jae;Shim, Sung-Un;Kim, Young-Gyu;Jeong, Yong-Chae;Kim, Chul-Dong
    • Journal of electromagnetic engineering and science
    • /
    • v.10 no.2
    • /
    • pp.73-77
    • /
    • 2010
  • This paper proposes a novel memory effect measurement technique in RF power amplifiers(PAs) using a two-tone intermodulation distortion(IMD) signal with a very simple and intuitive algorithm. Based on the proposed predistortive tone cancellation technique, the proposed measurement method is capable of measuring the relative phase and magnitude of the third-order and fifth-order IMDs, as well as the fundamental signal. The measured relative phase between the higher and lower IMD signal for specific tone spacing can be interpreted as the group delay(GD) information of the IMD signal concerned. From the group delay analysis, we can conclude that an adaptive control of GD as well as the magnitude and phase is a key function in increasing the linearization bandwidth and the dynamic range in a predistortion(PD) technique.

Nonlinear Formation Guidance Law with Robust Disturbance Observer

  • Shin, Hyo-Sang;Kim, Tae-Hun;Tahk, Min-Jea;Hwang, Tae-Won
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.10 no.1
    • /
    • pp.30-36
    • /
    • 2009
  • Many formation guidance laws have been proposed for VAV formation flight. Since most autonomous formation flight methods require various active communication links between the vehicles to know motion information of other vehicles, damage to the receiver or the transmitter and communication delay are critical problem to achieve a given formation flight mission. Therefore, in this point of view, the method that does not need an inter-vehicle communication is preferred in the autonomous formation flight. In this paper, we first summarize the formation guidance law without an inter-vehicle communication using feedback linearization and sliding mode control proposed in previous study. We also propose the modified formation guidance law with robust disturbance observer, which can provide significantly better performance than previously mentioned guidance law in case that other vehicles maneuver with large accelerations. The robust disturbance observer can estimate uncertainties generated by acceleration of leader vehicle. By eliminating the uncertainties using the estimated uncertainties, VAVs are able to achieve the tight formation flight. The performance of the proposed approach is validated by numerical simulations.

Derivation of Rainfall Intensity-Duration-Frequency Equation Based on the Approproate Probability Distribution (지속기간별 강우자료의 적정분포형 선정을 통한 확률강우강도식의 유도)

  • Heo, Jun-Haeng;Kim, Gyeong-Deok;Han, Jeong-Hun
    • Journal of Korea Water Resources Association
    • /
    • v.32 no.3
    • /
    • pp.247-254
    • /
    • 1999
  • The frequency analyses of annual maximum rainfall data for 22 rainfall gauging stations is Korea were performed. The method of moments (MOM), maximum likelihood (ML), and probability weighted moments (PWM) were used in parameter estimation. The GEV distribution was selected as an appropriate model for annual maximum rainfall data based on parameter validity condition, graphical analysis, separation effect, and goodness of fit tests. For the selected GEV model, spatial analysis was performed and rainfall intensity-duration-frequency equation was derived by using linearization technique. The derived rainfall intensity-duration-frequency equation can be used for estimating rainfall quantiles of the selected stations with convenience and reliability in practice.

  • PDF