• Title/Summary/Keyword: sliding model

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Chattering-free sliding mode control with a fuzzy model for structural applications

  • Baghaei, Keyvan Aghabalaei;Ghaffarzadeh, Hosein;Hadigheh, S. Ali;Dias-da-Costa, Daniel
    • Structural Engineering and Mechanics
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    • v.69 no.3
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    • pp.307-315
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    • 2019
  • This paper proposes a chattering-free sliding mode control (CFSMC) method for seismically excited structures. The method is based on a fuzzy logic (FL) model applied to smooth the control force and eliminate chattering, where the switching part of the control law is replaced by an FL output. The CFSMC is robust and keeps the advantages of the conventional sliding mode control (SMC), whilst removing the chattering and avoiding the time-consuming process of generating fuzzy rule basis. The proposed method is tested on an 8-story shear frame equipped with an active tendon system. Results indicate that the new method not only can effectively enhance the seismic performance of the structural system compared to the SMC, but also ensure system stability and high accuracy with less computational cost. The CFSMC also requires less amount of energy from the active tendon system to produce the desired structural dynamic response.

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 study on sliding surface design

  • Zhang, Yifan.;Lee, Sanghyuk
    • Journal of Convergence Society for SMB
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    • v.4 no.2
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    • pp.25-31
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    • 2014
  • Sliding mode design and analysis for nonlinear system was carried out. A designer will determine the parameters to know about the performance and robustness of the system dynamics. To investigate the characteristics of sliding mode control, an inverted pendulum model is applied by the sliding mode control and the state concerned is output. Comparison is made by evaluating different initial conditions, sliding numerical components for sliding surface, and input gain, the dynamic of output will be investigated to conclude the generality. Control approaches have their limitations and sliding mode control is no exception. The chattering problem is its main negative effect to overcome. This effect is displayed and in this project chattering problem is suppressed by a modified discontinuous controller.

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A Linear Sliding Surface Design Method for a Class of Uncertain Systems with Mismatched Uncertainties (불확실성이 매칭조건을 만족시키지 않는 선형 시스템을 위한 슬라이딩 평면 설계 방법)

  • 최한호
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.11
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    • pp.861-867
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    • 2003
  • We propose a sliding surface design method for linear systems with mismatched uncertainties in the state space model. In terms of LMIs, we derive a necessary and sufficient condition for the existence of a linear sliding surface such that the reduced-order equivalent sliding mode dynamics restricted to the linear sliding surface is not only stable but completely invariant to mismatched uncertainties. We give an explicit formula of all such linear switching surfaces in terms of solution matrices to the LMI existence condition. We also give a switching feedback control law, together with a design algorithm. Additionally, we give some hints for designing linear switching surfaces guaranteeing pole clustering constraints or linear quadratic performance bound constraints. Finally, we give a design example in order to show the effectiveness of the proposed methodology.

A Motion Control of a Two Degree of Freedom Inverted Pendulum with Passive Joint using Discrete-time Sliding Observer Based VSS Controller (슬라이딩 관측기를 갖는 가변구조제어기에 의한 도립진자의 운동제어)

  • Suh, Yong-Seok;You, Wan-Sik;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.468-471
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    • 1994
  • This paper presents the digital implementation of an optimal and robust VSS controller with sliding observer. Firstly, a discrete-time VSS control law which enables the system state to move into a sliding sector where the closed-loop system is stable is designed. Then optimal control theory is used to design an optimal sliding sector. Secondly, a sliding observer which provide robust state estimation against model-plant mismatches due to parameter uncertainties is designed for the sampled-data multivariable systems. Finally, modified sliding observer which effectively reduce chattering of state variables in state estimation was proposed. The proposed scheme was applied 10 a two degree of freedom inverted pendulum with passive joint to verify robust motion control. Computer simulation results confirm the viability of the proposed observer-based controller.

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Sliding Response of Spent Fuel Storage Cask to Earthquake (사용후핵연료 저장용기의 지진시 활동거동)

  • 최인길;전영선
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.10a
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    • pp.70-77
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    • 1996
  • In this study, sliding response analysis of free standing structure such as multi-purpose nuclear spent fuel storage cask is peformed. The governing factors of sliding response are aspect ratio of structure and ground acceleration. The vertical acceleration component is very important factor in the sliding response of the structure. Based on the mathematical model, computer program is developed using direct forward integration method to predict the sliding response. Using the program, several parametric studies were made for sinusodial ground motion and for El Centre 1940 earthquake and Mexico 1973 earthquake. From the results, it is known that the frequency content and duration of strong motion affect the sliding of the structure.

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Design of Adaptive Discrete Time Sliding-Mode Tracking Controller for a Hydraulic Proportional Control System Considering Nonlinear Friction (비선형 마찰을 고려한 유압비례제어 시스템의 적응 이산시간 슬라이딩모드 추적 제어기 설계)

  • Park, H.B.
    • Journal of Power System Engineering
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    • v.9 no.4
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    • pp.175-180
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    • 2005
  • Incorrections between model and plant are parameter, system order uncertainties and modeling error due to disturbance like friction. Therefore to achieve a good tracking performance, adaptive discrete time sliding mode tracking controller is used under time-varying desired position. Based on the diophantine equation, a new discrete time sliding function is defined and utilized for the control law. Robustness is increased by using both a recursive least-square method and a sliding function-based nonlinear feedback. The effectiveness of the proposed control algorithm is proved by the results of simulation and experiment.

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A Study on the Sliding Wear Calculation in Spur Gears (Spur Gear의 미끄럼 마멸율에 관한 연구)

  • 김태완;문석만;강민호;조용주
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1999.11a
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    • pp.25-34
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    • 1999
  • In this study, the sliding wear in spur gears, using Archard's wear model, is analyzed. Formulas of tooth sliding wear depth along the line of action are derived. The tooth profile is modified Id make a smooth transmission of the normal loads and the cylinder profile for reducing the pressure spike is suggested. The sliding wear rate is calculated with these profiling results. We expect these modification methods to contribute to the reduction of sliding wear in the root and the tip of tooth and tooth edge.

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ABS Sliding Mode Control considering Optimum Road Friction Force of Tyre (타이어의 최적 노면 마찰력을 고려한 ABS 슬라이딩 모드 제어)

  • Kim, Jungsik
    • Transactions of the Korean Society of Automotive Engineers
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    • v.21 no.1
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    • pp.78-85
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    • 2013
  • This paper presents the sliding mode control methods for anti-lock brake system (ABS) with the friction force observer. Using a simplified quarter car model, the sliding mode controller for ABS is designed to track the desired wheel slip ratio. Here, new method to find the desired wheel slip ratio which produces the maximum friction force between road and tire is suggested. The desired wheel slip ratio is varying according road and tire conditions to produce maximum friction force. In order to find optimum desired wheel slip ratio, the sliding mode observer for friction force is used. The proposed sliding mode controller with observer is evaluated in simulation, and the control design is shown to have high performance on roads with constant and varying adhesion coefficients.

Sliding Mode Control of Three-Phase Four-Leg Inverters via State Feedback

  • Yang, Long-Yue;Liu, Jian-Hua;Wang, Chong-Lin;Du, Gui-Fu
    • Journal of Power Electronics
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    • v.14 no.5
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    • pp.1028-1037
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    • 2014
  • To optimize controller design and improve static and dynamic performances of three-phase four-leg inverter systems, a compound control method that combines state feedback and quasi-sliding mode variable structure control is proposed. The linear coordinate change matrix and the state variable feedback equations are derived based on the mathematical model of three-phase four-leg inverters. Based on system relative degrees, sliding surfaces and quasi-sliding mode controllers are designed for converted linear systems. This control method exhibits the advantages of both state feedback and sliding mode control. The proposed controllers provide flexible dynamic control response and excellent stable control performance with chattering suppression. The feasibility of the proposed strategy is verified by conducting simulations and experiments.