• Title/Summary/Keyword: a sliding control

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A fuzzy Sliding Mode Control of Wheeled Mobile Robot with a Differential Drive

  • Kang, Young-Hoon;Lee, Ju-Jang
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.265-270
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    • 1998
  • In this paper we introduce a modeling of wheeled mobile robot with a differential drive derived by R.M. DeSantis and using the dynamics model-ing with some disturbance term we control the wheeled mobile robot using fuzzy sliding mode control(FSMC) method. In a fuzzy control approach it is very difficult to prove the stability of the fuzzy controller. Therefore, to overcome that difficult proof of the stability in a fuzzy control method, we first propose a sliding mode controller and prove the stability of the proposed controller. Next, transforming the proposed sliding mode controller into a fuzzy sliding mode controller without changing the basic structure of the sliding mode con-troller, we easily obtain a fuzzy sliding mode con-troller(FSMC) whose stability is guaranteed with-out difficult stability proof procedure of the proposed FSMC.

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Design of a Fuzzy-Sliding Mode Controller for an Uncertain Nonlinear System (불확실한 비선형 시스템의 퍼지 슬라이딩모드 제어기 설계)

  • Huh, S.H.;Park, G.T.;Kim, G.H.
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2290-2292
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    • 2000
  • Robustness characteristics to the modelling imprecision and some disturbances could be achieved in sliding mode control. However, there are drawbacks such as discontinuous control and chattering. Recently, many researches have been developing to solve such the problems. In sliding mode control, overall control input could be divided into two parts which are equivalent control input and sliding mode control input. Sliding mode control input is a function of the switching surfaces and can be designed with their linear combinations. In this paper, the sliding mode control input is designed by TSK fuzzy model. The proposed method gives the continuous sliding control input and reject the chattering phenomenon.

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Sliding Mode Control for Time-delay System using Virtual State (가상 상태를 이용한 시간 지연 시스템의 슬라이딩 모드 제어)

  • 송영삼;권성하;박승규;오도창;정은태
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.341-341
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    • 2000
  • This paper presents a sliding mode control(SMC) design method for single input linear systems with uncertainties and time delay in the state. We define a sliding surface for the augmented system with a virtual state which is defined from the nominal system. We make a virtual state from optimal control input using LOR(Linear Quadratic Regulator) and the states of the nominal system. We construct a controller that combines SMC with optimal controller. The proposed sliding mode controller stabilizes on the overall closed-loop system.

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Current Sliding Mode Control with a Load Sliding Mode Observer for Permanent Magnet Synchronous Machines

  • Jin, Ningzhi;Wang, Xudong;Wu, Xiaogang
    • Journal of Power Electronics
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    • v.14 no.1
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    • pp.105-114
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    • 2014
  • The sliding mode control (SMC) strategy is applied to a permanent magnet synchronous machine vector control system in this study to improve system robustness amid parameter changes and disturbances. In view of the intrinsic chattering of SMC, a current sliding mode control method with a load sliding mode observer is proposed. In this method, a current sliding mode control law based on variable exponent reaching law is deduced to overcome the disadvantage of the regular exponent reaching law being incapable of approaching the origin. A load torque-sliding mode observer with an adaptive switching gain is introduced to observe load disturbance and increase the minimum switching gain with the increase in the range of load disturbance, which intensifies system chattering. The load disturbance observed value is then applied to the output side of the current sliding mode controller as feed-forward compensation. Simulation and experimental results show that the designed method enhances system robustness amid load disturbance and effectively alleviates system chattering.

Model Following flight Control System Design (준 슬라이딩 모드 제어 기법을 이용한 모델 추종 비행제어 시스템 설계)

  • Choe, Dong-Gyun;Kim, Shin;Kim, Jong-Hwan
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.12
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    • pp.1133-1145
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    • 2000
  • In this paper a model following flight control system design using the discrete time quasi-sliding mode control method is described. The quasi-sliding mode is represented as the sliding mode band, not as the sliding surface. The quasi-sliding mode control is composed of the equivalent control for the nominal system without uncertainties and disturbances and the additive control compensating the uncertainties and disturbances. The linearized plant on the equilibrium point is used in designing a flight control system and the stability conditions are proposed for the model uncertainties. Pseudo-state feedback control which uses the model variables for the unmeasured states is proposed. The proposed method is applied to the design of the roll attitude and pitch load factor control of a bank-to-turn missile. The performance is verified through the nonlinear six degrees of freedom flight simulation.

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Robust Sliding Mode Control for Path Tracking of Intelligent Mobile Robot

  • Jiangzhou, L-U;Xie Ming
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.109.1-109
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    • 2001
  • This paper deals with the path following problem of car-like intelligent mobile robot. A robust sliding mode control law based on time-varying state feedback is performed via Lyapunov method for path tracking of nonholonomic mobile robot with uncertainties. At first, A sliding control law is designed by combing the natural algebraic structure of the chained form system with ideas from sliding mode theory. Then, a robust control law is proposed to impose robustness against bounded uncertainties in path tracking. The problem of estimating the asymptotic stability region and the sliding domain of uncertain sliding mode system with bounded control input is also discussed. The proposed sliding mode control law can ensure the global reaching condition of the uncertain control system.

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A New Robust Digital Sliding Mode Control with Disturbance Observer for Uncertain Discrete Time Systems

  • Lee, Jung-Hoon
    • Journal of IKEEE
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    • v.15 no.2
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    • pp.149-156
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    • 2011
  • In this paper, a new discrete variable structure controller based on a new sliding surface and discrete version of the disturbance observer is suggested for the control of uncertain linear systems. The reaching phase is completely removed by introducing a new proposed sliding surface. The discrete version of the disturbance observer is derived for the effective compensation of the effect of uncertainties and disturbances. A corresponding control input with the disturbance compensation is selected to guarantee the quasi sliding mode on the predetermined sliding surface for guaranteeing the designed output in the sliding surface from any initial condition to the origin for all the parameter variations and disturbances. By using Lyapunov function, the closed loop stability and the existence condition of the quasi sliding mode is proved. Finally, an illustrative example is presented to show the effectiveness of the algorithm.

Control of Robot Manipulators Using PD-Sliding Mode hybrid Controller (PD-슬라이딩 모드 복합 제어기를 이용한 로봇 매니퓰레이터의 제어)

  • Lee, Kyu-Joon;Kyung, Tai-Hyun;Kim, Jong-Shik
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.2
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    • pp.89-96
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    • 2002
  • A new chattering free PD-sliding mode hybrid control scheme is proposed for robot manipulators. This hybrid controller is composed of a PD controller and a semi-continuous sliding mode controller. It has a good robust performance in reaching mode which does not possess invariance property of sliding mode, and has chattering free characteristics in sliding mode. Thus, the PD-sliding mode hybrid controller has a good robust performance in the whole region. It is shown that the proposed control has a good transient response and trajectory tracking performance for a 2-link SCARA robot manipulator.

Sliding mode control for structures based on the frequency content of the earthquake loading

  • Pnevmatikos, Nikos G.;Gantes, Charis J.
    • Smart Structures and Systems
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    • v.5 no.3
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    • pp.209-221
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    • 2009
  • A control algorithm for seismic protection of building structures based on the theory of variable structural control or sliding mode control is presented. The paper focus in the design of sliding surface. A method for determining the sliding surface by pole assignment algorithm where the poles of the system in the sliding surface are obtained on-line, based on the frequency content of the incoming earthquake signal applied to the structure, is proposed. The proposed algorithm consists of the following steps: (i) On-line FFT process is applied to the incoming part of the signal and its frequency content is recognized. (ii) A transformation of the frequency content to the complex plane is performed and the desired location of poles of the controlled structure on the sliding surface is estimated. (iii) Based on the estimated poles the sliding surface is obtained. (iv) Then, the control force which will drive the response trajectory into the estimated sliding surface and force it to stay there all the subsequent time is obtained using Lyapunov stability theory. The above steps are repeated continuously for the entire duration of the incoming earthquake. The potential applications and the effectiveness of the improved control algorithm are demonstrated by numerical examples. The simulation results indicate that the response of a structure is reduced significantly compared to the response of the uncontrolled structure, while the required control demand is achievable.

Sliding Mode Control of Spacecraft with Actuator Dynamics

  • Cheon, Yee-Jin
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.2
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    • pp.169-175
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    • 2002
  • A sliding mode control of spacecraft attitude tracking with actuator, especially reaction wheel, is presented. The sliding mode controller is derived based on quaternion parameterization for the kinematic equations of motion. The reaction wheel dynamic equations represented by wheel input voltage are presented. The input voltage to wheel is calculated from the sliding mode controller and reaction wheel dynamics. The global asymptotic stability is shown using a Lyapunov analysis. In addition the robustness analysis is performed for nonlinear system with parameter variations and disturbances. It is shown that the controller ensures control objectives for the spacecraft with reaction wheels.