• Title/Summary/Keyword: feedback-linearization

Search Result 341, Processing Time 0.029 seconds

Simultaneous Optimization of Structure and Control Systems Based on Convex Optimization - An approximate Approach - (볼록최적화에 의거한 구조계와 제어계의 동시최적화 - 근사적 어프로치 -)

  • Son, Hoe-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.27 no.8
    • /
    • pp.1353-1362
    • /
    • 2003
  • This paper considers a simultaneous optimization problem of structure and control systems. The problem is generally formulated as a non-convex optimization problem for the design parameters of mechanical structure and controller. Therefore, it is not easy to obtain the global solutions for practical problems. In this paper, we parameterize all design parameters of the mechanical structure such that the parameters work in the control system as decentralized static output feedback gains. Using this parameterization, we have formulated a simultaneous optimization problem in which the design specification is defined by the Η$_2$and Η$\_$$\infty$/ norms of the closed loop transfer function. So as to lead to a convex problem we approximate the nonlinear terms of design parameters to the linear terms. Then, we propose a convex optimization method that is based on linear matrix inequality (LMI). Using this method, we can surely obtain suboptimal solution for the design specification. A numerical example is given to illustrate the effectiveness of the proposed method.

Adaptive Observer Based Longitudinal Control of Vehicles

  • Rhee, Hyoung-Chan
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.5 no.3
    • /
    • pp.266-272
    • /
    • 2004
  • In this paper, an observer-based adaptive controller is proposed to control the longitudinal motion of vehicles. The standard gradient method will be used to estimate the vehicle parameters such as mass, time constant, etc. The nonlinear model between the driving force and the vehicle acceleration will be chosen to design the state observer for the vehicle velocity and acceleration. It will be shown that the proposed observer is exponentially stable, and that the adaptive controller proposed in this paper is stable by the Lyapunov function candidate. It will be proved that the errors of the relative distance, velocity and acceleration converge to zero asymptotically fast, and that the overall system is also asymptotically stable. The simulation results are presented to investigate the effectiveness of the proposed method.

  • PDF

A Study on Helicopter Trajectory Tracking Control using Neural Networks (신경회로망을 이용한 헬리콥터 궤적추종제어 연구)

  • Kim, Yeong Il;Lee, Sang Cheol;Kim, Byeong Su
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.31 no.3
    • /
    • pp.50-57
    • /
    • 2003
  • In the paper, the design and evaluation of a helicopter trajectory tracking controller are presented. The control algorithm is implemented using the feedback linearization technique and the two time-scale separation architecture. In addition, and on-line adaptive architecture that employs a neural network compensating the model inversion error caused by the deficiency of full knowledge of helicopter dynamic is applied to augment the attitude control system. Trajectory tracking performance of the control system in evaluated using modified TMAN simulation program representing as Apache helicopter. It is show that the on-line neural network in an adaptive control architecture is very effective in dealing with the performance depreciation problem of the trajectory tracking control caused by insufficient information of dynamics.

Design of an OPtimal Controller for the Nonlinear Robot Manipulators with the Actuator Dynamics (조작기의 동특성을 고려한 비선형 로봇 매니퓰레이터의 최적 제어기 설계)

  • 김학범;이양범
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.18 no.9
    • /
    • pp.1376-1385
    • /
    • 1993
  • This paper presents a new dynamic model which is represented by the second order differenatial equation and itcludes the robot arm dynamics as well as the actuator dynamics. The model exhibits excellent performance in the steady state and transient response. In addition the time varing nonlinear and coupled dynamic system has been linearized and decoupled by using nonlinear feedback and linearization method. In this case a pole assignment law is used to improve stability, and the optimal control altorithm is applied to the error equation to minimize the path error. In applying the proposed algorithm to the three joint manipulator with actuators, we obtained very encouraging results.

  • PDF

Adaptive Variable Structure Control of Container Cranes with Unknown Payload and Friction (미지의 부하와 마찰을 갖는 컨테이너 크레인의 적응 가변구조제어)

  • Baek, Woon-Bo;Lim, Joong-Seon
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.20 no.10
    • /
    • pp.1008-1013
    • /
    • 2014
  • This paper introduces an adaptive anti-sway tracking control algorithm for container cranes with unknown payloads and friction between the trolley and the rail. If the friction effects in the system can be modeled, there is an improved potential to design controllers that can cancel these effects. The proposed control improves the sway suppressing and the positioning capabilities of the trolley and hoisting against uncertain payload and friction. The variable structure controls are first designed based on a class of feedback linearization methods for the stabilization of the under-actuated sway dynamics. The adaptation mechanism are then designed with parameter estimation of unknown payload and friction compensation for the trolley and hoisting, based on Lyapunov stability methods for the accurate positioning and fast attenuation of trolley oscillation due to frictions in the vicinity of the target position. The asymptotic stability of the overall closed-loop system is assured irrespective of variations of rope length. Simulations are shown under various frictions and external winds in the case of no priori information of payload mass.

T-S Fuzzy Formation Controlling Phugoid Model-Based Multi-Agent Systems in Discrete Time (이산시간에서의 장주기모델에 관한 다개체시스템의 T-S 퍼지 군집제어)

  • Moon, Ji Hyun;Lee, Jaejun;Lee, Ho Jae;Kim, Moon Hwan
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.26 no.4
    • /
    • pp.308-315
    • /
    • 2016
  • This paper addresses a formation control problem for a phugoid model-based multi-agent system in discrete time by using a Takagi-Sugeno (T-S) fuzzy model-based controller design technique. The concerned discrete-time model is obtained by Euler's method. A T-S fuzzy model is constructed through a feedback linearization. A fuzzy controller is then designed to stabilize the T-S fuzzy model. Design condition is presented in the linear matrix inequality format.

A Study on the Development of Mathematical Model of Three-stage Flow Control Valve

  • Khan, Haroon Ahmad;Kang, Chang Nam;Yun, So Nam
    • Journal of Drive and Control
    • /
    • v.15 no.2
    • /
    • pp.38-45
    • /
    • 2018
  • In this study, the theory of fluid mechanics and dynamics is used to build a mathematical model for a three-stage flow control valve. The significance of the study is that the mathematical model can easily be used to study the effect of different design parameters on the performance of the valve. The geometry of the valve and the properties of the fluid were used in this study to determine the variation in the performance of the valve when varying the magnetic force on the pilot spool. While a linearization technique is not used to solve the developed model, the solution of the mathematical model is found in the time domain by simulation of the equations using a software package. The results indicate that if the developed mathematical model is solved for the different values of magnetic force, the valve behaves linearly; the valve is thus called the proportional flow control valve.

The Generator Excitation Control Based on the Quasi-sliding Mode Pseudo-variable Structure Control

  • Hu, Jian;Fu, Lijun
    • Journal of Electrical Engineering and Technology
    • /
    • v.13 no.4
    • /
    • pp.1474-1482
    • /
    • 2018
  • As an essential means of generator voltage regulation, excitation control plays an important role in controlling the stability of the power system. Therefore, the reasonable design of an excitation controller can help improve the system stability. In order to raise the robustness of the generator exciting system under outside interference and parametric perturbation and eliminate chattering in the sliding mode control, this paper presents a generator excitation control based on the quasi-sliding mode pseudo-variable structure control. A mathematical model of the synchronous generator is established by selecting its power, speed and voltage deviation as state variables. Then, according to the existing conditions of the quasi-sliding mode, a quasi-sliding mode pseudo-variable structure controller is designed, and the parameters of the controller are obtained with the method of pole configuration. Simulations show that compared with the existing methods, the proposed method is not only useful for accurate voltage regulation, but also beneficial to improving the robustness of the system at a time when perturbance happens in the system.

Waypoint Tracking of Large Diameter Unmanned Underwater Vehicles with X-stern Configuration (X-stern 배열을 가진 대형급 무인잠수정의 경로점 추적)

  • Kim, Do Wan;Kim, Moon Hwan;Park, Ho-Gyu;Kim, Tae-Yeong
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.66 no.2
    • /
    • pp.387-393
    • /
    • 2017
  • This paper focuses on a horizontal waypoint tracking and a speed control of large diameter unmanned underwater vehicles (LDUUVs) with X-stern configuration plane. The concerned design problem is converted into an asymptotic stabilization of the error dynamics with respect to the desired yaw angle and surge speed. It is proved that the error dynamics under the proposed control scheme based on the linear control and the feedback linearization can be considered as a cascade system; the cascade system is asymptotically stable if its nominal systems are so. This stability connection enables to separately deal with the waypoint tracking problem and the speed control one. By using the sector nonlinearity, the nominal system with nonlinearities is modeled as a polytopic linear parameter varying (LPV) system with parametric uncertainties. Then, sufficient linear matrix inequality (LMI) conditions for its asymptotic stabilizability are derived in the sense of Lyapunov stability criterion. An example is given to show the validity of the proposed methodology.

A Time-Varying Gain Super-Twisting Algorithm to Drive a SPIM

  • Zaidi, Noureddaher;Jemli, Mohamed;Azza, Hechmi Ben;Boussak, Mohamed
    • Journal of Power Electronics
    • /
    • v.13 no.6
    • /
    • pp.955-963
    • /
    • 2013
  • To acquire a performed and practical solution that is free from chattering, this study proposes the use of an adaptive super-twisting algorithm to drive a single-phase induction motor. Partial feedback linearization is applied before using a super-twisting algorithm to control the speed and stator currents. The load torque is considered an unknown but bounded disturbance. Therefore, a time-varying switching gain that does not require prior knowledge of the disturbance boundary is proposed. A simple sliding surface is formulated as the difference between the real and desired trajectories obtained from the indirect rotor flux oriented control strategy. To illustrate the effectiveness of the proposed control structure, an experimental setup around a digital signal processor (dS1104) is developed and several tests are performed.