• Title/Summary/Keyword: Nonlinear sliding mode

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Adaptive Discrete Time Sliding-Mode Tracking Control of a Proportional Control Valve-Hydraulic System in the presence of friction (비선형 마찰특성을 고려한 비례제어밸브·유압실린더계의 적응 이산시간 슬라이딩모드 추적제어)

  • Yu, Hwan-Shin;Park, Hyung-Bae
    • Journal of Advanced Navigation Technology
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    • v.13 no.5
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    • pp.756-762
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    • 2009
  • As nonlinear friction, stick-slip friction in hydraulic actuators are a problem for accuracy and repeatability. Therefore friction compensation has been approached through various control algorithms. A Adaptive discrete time sliding mode tracking controller has been applied in order to compensate the nonlinear friction characteristics in a hydraulic Actuator. Based on the diophantine equation, a new discrete time sliding function is defined and utilized for the control law which includes a friction and modeling error. Robustness is increased by using both a projection algorithm and a sliding function-based nonlinear feedforward. From the results of simulation and experiment good tracking performance is achieved.

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Adaptive Fuzzy Sliding-Mode Control of Nonlinear System (비선형 시스템의 적응 퍼지 슬라이딩 모드 제어)

  • Kim, Do-Woo;Yang, Hai-Won;Cho, Min-Ho
    • Proceedings of the KIEE Conference
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    • 2000.11d
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    • pp.689-693
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    • 2000
  • In this paper, we proposed a decoupled adaptive fuzzy sliding-mode control scheme in designing the SMC of a class of fourth-order nonlinear systems. These systems are decoupled the whole system into two second-order systems such that each subsystem has a separate control target expressed in terms of a sliding surface. Then, information from the secondary target conditions the main target, which, in turn, generates a control action to make both subsystem move toward their sliding surface. respectively, and Two sets of fuzzy rule bases are utilized to represent the equivalent control input with unknown system functions of the main target, The membership functions of the THEN-part. which is used to construct a suitable equivalent control of SMC. are changed according to adaptive law, Under this design scheme, we not only maintain the distribution of membership functions over state space but also reduce considerably computing time, we apply the decoupled adaptive sliding-mode control to control a nonlinear inverted pendulum system and confirms the validity of the proposed approach.

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Two-Wheeled Welding Mobile Robot for Tracking a Smooth Curved Welding Path Using Adaptive Sliding-Mode Control Technique

  • Dung, Ngo Manh;Duy, Vo Hoang;Phuong, Nguyen Thanh;Kim, Sang-Bong;Oh, Myung-Suck
    • International Journal of Control, Automation, and Systems
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    • v.5 no.3
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    • pp.283-294
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    • 2007
  • In this paper, a nonlinear controller based on adaptive sliding-mode method which has a sliding surface vector including new boundizing function is proposed and applied to a two-wheeled welding mobile robot (WMR). This controller makes the welding point of WMR achieve tracking a reference point which is moving on a smooth curved welding path with a desired constant velocity. The mobile robot is considered in view of a kinematic model and a dynamic model in Cartesian coordinates. The proposed controller can overcome uncertainties and external disturbances by adaptive sliding-mode technique. To design the controller, the tracking error vector is defined, and then the sliding surface vector including new boundizing function and the adaptation laws are chosen to guarantee that the error vector converges to zero asymptotically. The stability of the dynamic system is shown through the Lyapunov method. In addition, a simple way of measuring the errors by potentiometers is introduced. The simulations and experimental results are shown to prove the effectiveness of the proposed controller.

Finite-Time Nonlinear Disturbance Observer Based Discretized Integral Sliding Mode Control for PMSM Drives

  • Zheng, Changming;Zhang, Jiasheng
    • Journal of Power Electronics
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    • v.18 no.4
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    • pp.1075-1085
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    • 2018
  • To deal with the operation performance degradation of permanent magnet synchronous machine (PMSM) drives with uncertainties and unmodeled dynamics, this paper presents a finite-time nonlinear disturbance observer (FTNDO) based discretized integral sliding mode (DISM) composite control scheme. Based on the reaching-law approach, a DISM speed controller featuring a superior dynamic quality and global robustness against disturbances is constructed. This controller can avoid the reaching phase and overlarge control action. In addition, a sliding mode differentiator based FTNDO is devised and extended to the discrete-time domain for disturbance estimation. The attractive features of the FTNDO are that it can provide a finite-time converging estimation and alleviate the chattering effect in conventional sliding mode observers, while retaining robustness to parameter variations. By feeding the estimate forward to the pre-stage DISM controller, both disturbances and chattering can be significantly suppressed. Moreover, considering the estimation error of a FTNDO caused by discrete sampling, a stability analysis of the composite controller is discussed. Experimental results validate the superiority of the presented scheme.

Reconfigurable Flight Control System Design Using Sliding Mode Based Model Following Control Scheme

  • Cho, Dong-Hyun;Kim, Ki-Seok;Kim, You-Dan
    • International Journal of Aeronautical and Space Sciences
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    • v.4 no.1
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    • pp.1-8
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    • 2003
  • In this paper, a reconfigurable flight control system is designed by applying the sliding mode control scheme. The sliding mode control method is a nonlinear control method which has been widely used because of its merits such as robustness and flexibility. In the sliding mode controller design, the signum function is usually included, but it causes the undesirable chattering problem. The chattering phenomenon can be avoided by using the saturation function instead of signum function. However, the boundary layer of the sliding surface should be carefully treated because of the use of the saturation function. In contrast to the conventional approaches, the thickness of the boundary layer of our approach does not need to be small. The reachability to the boundary layer is guaranteed by the sliding mode controller. The fault detection and isolation process is operated based on a sliding mode observer. To evaluate the reconfiguration performance, a numerical simulation using six degree-of-freedom aircraft dynamics is performed.

A Nonlinear Controller of a Two-Wheeled Welding Mobile Robot Track ing Smooth-Curved Welding Path Using Sliding Mode Control

  • Chung, Tan Lam;Bui, Trong Hieu;Suh, Jin-Ho;Kim, Sang-Bong
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1418-1423
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    • 2003
  • In this paper, a nonlinear controller based on sliding mode control is applied to a two -wheeled Welding Mobile Robot (WMR) to track a smooth-curved welding path at a constant velocity of the welding point. T he mobile robot is considered in terms of dynamics model in Cartesian coordinates and its parameters are exactly known . To obtain the controller, the tracking errors are defined, and the two sliding surfaces are chosen to guarantee that the errors converge to zero asymptotically. Two cases are to be considered: fixed torch and controllable torch. In addition, a simple way of measuring the errors is introduced using two potentiometers. The simulation results are included to illustrate the performance of the control law.

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Finite Time Control of Chaotic Nonlinear Systems Using Terminal Sliding Surface (터미널 슬라이딩 표면을 이용한 혼돈 비선형 시스템의 유한 시간 제어)

  • Lee, Sin-Ho;Choi, Yoon-Ho;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.1642-1643
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    • 2007
  • In this paper, we design a terminal sliding mode controller for chaotic nonlinear systems. Terminal sliding mode control (TSMC) method can drive the tracking errors to zero within finite time. In addition, TSMC has the advantages such as improved the performance, the robustness, the reliability and the precision by contrast with classical sliding mode control (CSMC). Besides, we can obtain the final time using general formula. Finally, we carry out simulations of some examples, such as Duffing and Lorenz systems, to illustrate the effectiveness of the proposed control.

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A New Approach to the Design of An Adaptive Fuzzy Sliding Mode Controller

  • Lakhekar, Girish Vithalrao
    • International Journal of Ocean System Engineering
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    • v.3 no.2
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    • pp.50-60
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    • 2013
  • This paper presents a novel approach to the design of an adaptive fuzzy sliding mode controller for depth control of an autonomous underwater vehicle (AUV). So far, AUV's dynamics are highly nonlinear and the hydrodynamic coefficients of the vehicles are difficult to estimate, because of the variations of these coefficients with different operating conditions. These kinds of difficulties cause modeling inaccuracies of AUV's dynamics. Hence, we propose an adaptive fuzzy sliding mode control with novel fuzzy adaptation technique for regulating vertical positioning in presence of parametric uncertainty and disturbances. In this approach, two fuzzy approximator are employed in such a way that slope of the linear sliding surface is updated by first fuzzy approximator, to shape tracking error dynamics in the sliding regime, while second fuzzy approximator change the supports of the output fuzzy membership function in the defuzzification inference module of fuzzy sliding mode control (FSMC) algorithm. Simulation results shows that, the reaching time and tracking error in the approaching phase can be significantly reduced with chattering problem can also be eliminated. The effectiveness of proposed control strategy and its advantages are indicated in comparison with conventional sliding mode control FSMC technique.

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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Sliding Mode Controller with Sliding Perturbation Observer Based on Gain Optimization using Genetic Algorithm

  • You, Ki-Sung;Lee, Min-Cheol;Yoo, Wan-Suk
    • Journal of Mechanical Science and Technology
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    • v.18 no.4
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    • pp.630-639
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    • 2004
  • The Stewart platform manipulator is a closed-kinematics chain robot manipulator that is capable of providing high structural rigidity and positional accuracy. However, this is a complex and nonlinear system, so the control performance of the system is not so good. In this paper, a new robust motion control algorithm is proposed. The algorithm uses partial state feedback for a class of nonlinear systems with modeling uncertainties and external disturbances. The major contribution is the design of a robust observer for the state and the perturbation of the Stewart platform, which is combined with a variable structure controller (VSC). The combination of controller and observer provides the robust routine called sliding mode control with sliding perturbation observe. (SMCSPO). The optimal gains of SMCSPO, which is determined by nominal eigenvalues, are easily obtained by genetic algorithm. The proposed fitness function that evaluates the gain optimization is to put sliding function. The control performance of the proposed algorithm is evaluated by the simulation and experiment to apply to the Stewart platform. The results showed high accuracy and good performance.