• Title/Summary/Keyword: linearization error

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$H^{\inf}$ controller design for submerged vehicle under model uncertainty and sea wave disturbances (모델 불확실성과 해파외란을 고려한 고려한 몰수체의 $H^{\inf}$ 제어기 설계)

  • 이재명;류동기;이갑래;박홍배
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.4
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    • pp.17-26
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    • 1996
  • A submerged vehicle which is a nonlinear multivariable system must be designed to be roubst against inner-outer perturbations and hydrodynamic disturbances induces maneuvering operation. But a practical design of motion controller is limited by both mathematical modeling error and linearization errors. Performance of a motion controller based on traditional design method is very poor when the vehicle motion is under wave force distrubacnes near sea surface. Therefore, this ppaer proposes a design method of $^{\infty}$ controller under model uncertainty and sea wave disturbances. performance of the controllers by both computer simulation and HILS (hardwave in the loop simulation) shows that $H^{\infty}$ controller is more robust than PID controller under model uncertainty and high sea state...

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Fuzzy-Model-Based Kalman Filter for Radar Tracking

  • Lee, Bum-Jik;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.311-314
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    • 2003
  • In radar tracking, since the sensor measures range, azimuth and elevation angle of a target, the measurement equation is nonlinear and the extended Kalman filter (EKF) is applied to nonlinear estimation. The conventional EKF has been widely used as a nonlinear filter for radar tracking, but the considerably large measurement error due to the linearization of nonlinear function in highly nonlinear situations may deteriorate the performance of the EKF. To solve this problem, a fuzzy-model-based Kalman filter (FMBKF) is proposed for radar tracking. The FMBKP uses a local model approximation based on a TS fuzzy model instead of a Jacobian matrix to linearize nonlinear measurement equation. The hybrid GA and RLS method is used to identify the premise and the consequent parameters and the rule numbers of this TS fuzzy model. In two-dimensional radar tracking problem, the proposed method is compared with the conventional EKF.

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Design of Optimal Controllers for Spacecraft Formation Flying Based on the Decentralized Approach

  • Bae, Jong-Hee;Kim, You-Dan
    • International Journal of Aeronautical and Space Sciences
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    • v.10 no.1
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    • pp.58-66
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    • 2009
  • Formation controller for multiple spacecrafts is designed based on a decentralized approach. The objective of the proposed controller is to make each spacecraft fly to the desired waypoints, while keeping the formation shape of multiple spacecrafts. To design the decentralized formation controller, the output feedback linearization technique using error functions for goal convergence and formation keeping is utilized for spacecraft dynamics. The primary contribution of this paper is to proposed optimal controller for formation flying based on the decentralized approach. To design the optimal controller, eigenvalue assignment technique is used. To verify the effectiveness of the proposed controller, numerical simulations are performed for three-dimensional waypoint-passing missions of multiple spacecrafts.

Trajectory Tracking Control of Mobile Robot via T-S Fuzzy Modeling (T-S 퍼지 모델링을 통한 이동 로봇의 궤도 추적 제어)

  • Hwang, Keun-Woo;Cheon, Seok-Hyo;Park, Seung-Kyu;Yoon, Tae-Sung
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1846-1847
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    • 2011
  • In this paper, for the trajectory tracking control of mobile robot, firstly, we obtained the T-S fuzzy models from the tracking-error models, one of which has nonlinear form and the other is linearized around the reference trajectory. Then the tracking control inputs are designed using the proposed fuzzy linearization method and the existed PDC method. Lastly, the tracking performance is tested and compared for each model through simulation.

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SOLUTION OF TENTH AND NINTH-ORDER BOUNDARY VALUE PROBLEMS BY HOMOTOPY PERTURBATION METHOD

  • Mohyud-Din, Syed Tauseef;Yildirim, Ahmet
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.14 no.1
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    • pp.17-27
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    • 2010
  • In this paper, we apply homotopy perturbation method (HPM) for solving ninth and tenth-order boundary value problems. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method. The fact that the proposed homotopy perturbation method solves nonlinear problems without using Adomian's polynomials can be considered as a clear advantage of this technique over the decomposition method.

Design of Drug Treatment for HIV Infected Patients: Disturbance Observer based Control Technique (HIV 감염 환자에 대한 약물 치료기법 설계: 외란관측기 기반 제어기 기법)

  • Lee, Beom-Jin;Jo, Nam-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.7
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    • pp.950-955
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    • 2014
  • In this paper, we propose a drug treatment protocol for the three state HIV infection model that explicitly includes the concentration of healthy T cells, infected T cells, and HIV. While most of the previous methods are not able to achieve the treatment goal in the presence of modelling errors, the proposed method is designed so as to compensate for the model uncertainties. Based on the Jacobain linearization of nonlinear HIV infection model, disturbance observer(DOB) based control is employed to design the drug treatment for the HIV patients. Computer simulation is carried out for nonlinear model in order to compare the performance of the proposed method with that of the conventional technique. The simulation results show that, in the presence of parameter uncertainties, the substantial improvement in the performance can be achieved by the proposed DOB controller.

Robust Adaptive Control of 3D Crane Systems with Uncertainty (불확실성 요소를 갖는 3D 크레인 시스템의 강인적응제어)

  • Jeong, Sang-Chul;Kim, Dong-Won;Lee, Hyung-Ki;Cho, Hyun-Cheol
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.1
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    • pp.102-108
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    • 2008
  • This paper presents robust and adaptive control method for complicated three dimensional crane systems with uncertain effect. We consider an overhead crane system in which a trolly located on its top is moved to x- and y-axis independently. We first approximate the complicated crane model through linearization approach to simply construct a PD control and then design an adaptive control system for compensating modeling error and control deviation which is feasibly occurred due to system perturbation in practice. An adaptive control scheme is analytically derived using Lyapunov stability theory for a given bound of system perturbation. We accomplish numerical simulation for evaluation of the proposed control system and demonstrate its superiority comparing with the traditional control strategy.

Position Control of Nonlinear Crane Systems using Dynamic Neural Network (동적 신경회로망을 이용한 비선형 크레인 시스템의 위치제어)

  • Han, Seong-Hun;Cho, Hyun-Cheol;Lee, Kwon-Soon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.5
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    • pp.966-972
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    • 2007
  • This paper presents position control of nonlinear three-dimensional crane systems using neural network approach. Such crane system generally includes very complicated characteristic dynamics and mechanical framework such that its mathematical model is expressed by strong nonlinearity. This leads difficulty in control design for the systems. We linearize the nonlinear system model to construct PID control applying well-known linear control theory and then neural network is utilized to compensate system perturbation due to linearization. Thus, control input of the crane system is composed of nominal PID and neural output signals respectively. Our method illustrates simple design procedure, but system perturbation and modelling error are overcome through a neural compensator. As well. adaptive neural control is constructed from online learning. Computer simulation demonstrates our control approach is superior to the classic control systems.

A frequency measurement based on modified zero-crossing method for anti-islanding detection of distributed generation (분산전원의 Anti-islanding용 수정된 zero-crossing 방식 주파수 검출기법)

  • Bae, Byung-Yeol;Baek, Seung-Taek;Lee, Jin-Hee;Suh, In-Young
    • Proceedings of the KIPE Conference
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    • 2008.06a
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    • pp.634-636
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    • 2008
  • This paper proposes a frequency detection method based on an advanced zero-crossing technique. Zero-crossing method for detecting frequency is one of the most widely used methods today. Although it is simple to apply, it requires extra hardware in implementation due to its limitations in accuracy. The proposed method models the error generated during zero crossing linearization and compensated for it in real time which makes it simple and accurate. The validity of the method and its applicability in anti-islanding detection of distributed generators was confirmed through simulation.

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Lyapunov Based Adaptive-Robust Control of the Non-Minimum phase DC-DC Converters Using Input-Output Linearization

  • Salimi, Mahdi;Zakipour, Adel
    • Journal of Power Electronics
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    • v.15 no.6
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    • pp.1577-1583
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    • 2015
  • In this research, a combined adaptive-robust current controller is developed for non-minimum-phase DC-DC converters in a wide range of operations. In the proposed nonlinear controller, load resistance, input voltage and zero interval of the inductor current are estimated using developed adaptation rules and knowing the operating mode of the converter for the closed-loop control is not required; hence, a single controller can be employed for a wide load and line changes in discontinuous and continuous conduction operations. Using the TMS320F2810 digital signal processor, the experimental response of the proposed controller is presented in different operating points of the buck/boost converter. During transition between different modes of the converter, the developed controller has a better dynamic response compared with previously reported adaptive nonlinear approach. Moreover, output voltage steady-state error is zero in different conditions.