• Title/Summary/Keyword: control law design

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Robust singular perturbation control for 3D path following of underactuated AUVs

  • Lei, Ming;Li, Ye;Pang, Shuo
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.13 no.1
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    • pp.758-771
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    • 2021
  • This paper presents a novel control scheme for the three-dimensional (3D) path following of underactuated Autonomous Underwater Vehicle (AUVs) subject to unknown internal and external disturbances, in term of the time scale decomposition method. As illustration, two-time scale motions are first artificially forced into the closed-loop control system, by appropriately selecting the control gain of the integrator. Using the singular perturbation theory, the integrator is considered as a fast dynamical control law that designed to shape the space configuration of fast variable. And then the stabilizing controller is designed in the reduced model independently, based on the time scale decomposition method, leading to a relatively simple control law. The stability of the resultant closed-loop system is demonstrated by constructing a composite Lyapunov function. Finally, simulation results are provided to prove the efficacy of the proposed controller for path following of underactuated AUVs under internal and external disturbances.

Non-spillover control design of tall buildings in modal space

  • Fang, J.Q.;Li, Q.S.;Liu, D.K.
    • Wind and Structures
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    • v.2 no.3
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    • pp.189-200
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    • 1999
  • In this paper, a new algorithm for active control design of structures is proposed and investigated. The algorithm preserves the decoupling property of the modal vibration equation and eliminates the spillover problem, which is the main shortcoming in the independent modal space control(IMSC) algorithm. With linear quadratic regulator(LQR) control law, the analytical solution of algebraic Riccati equation and the optimal actuator control force are obtained, and the control design procedure is significantly simplified. A numerical example for the control design of a tall building subjected to wind loads demonstrates the effectiveness of the proposed algorithm in reducing the acceleration and displacement responses of tall buildings under wind actions.

On the robust adaptive linearizing control for unknown and analytic relay nonlinearity

  • Lee, Jae-Kwan;Abe, Ken-ichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.177-180
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    • 1996
  • The purpose of this paper is to design a robust adaptive control algorithm for a class of systems having continuous relay nonlinearity. This continuous relay nonlinearity can be defined as an analytic nonlinear function having unknown parameters and bounded unmodeling part. By this mathematical modeling, the whole system can be considered as a nonlinear system having unknown parameters and bounded perturbation. The control algorithm of this paper, RALC, can be constructed by robust adaptive law, feedback linearization, and indirect robust adaptive control. By this RALC, we can obtain that the output of given system can follow that of a stable reference linear model made by designer and the boundedness of all signals in closed-loop system can be maintained. Therefore, we can confirm a robust adaptive control for a class of systems having continuous relay nonlinearity.

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Investigating Cursor Control Types for Text Entry on Smartphones (스마트폰에서의 텍스트 입력을 위한 커서 조작 방식 연구)

  • Ahn, Junyoung;Kim, Kyungdoh
    • Journal of Korean Institute of Industrial Engineers
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    • v.42 no.5
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    • pp.352-359
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    • 2016
  • The soft keyboard with touch interaction is universally available on mobile phone, a variety of previous studies with respect to the soft keyboard on smart devices had been conducted. However, previous studies of cursor control for text entry on smart devices such as smartphone did not performed. In this study, we compared three types of cursor controls (Default, 3D touch, Slide) in smartphone using Fitts' law and C-D ratio. Then we performed a laboratory experiment with three cursor control types and evaluated using cursor movement time as a quantitative evaluation and 8 subjective metrics for usability as a qualitative evaluation. Then, we discussed what types of cursor control showed better performance and subjective satisfaction through their results. From these results, this study recommended the design guidelines for cursor control on smartphones and developed its study methods as our contributions.

Robust Adaptive Control for a Class of Nonlinear Systems with Complex Uncertainties

  • Seo, Sang-Bo;Back, Ju-Hoon;Shim, Hyung-Bo;Seo, Jin-H.
    • Journal of Electrical Engineering and Technology
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    • v.4 no.2
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    • pp.292-300
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    • 2009
  • This paper considers a robust adaptive stabilization problem for a class of uncertain nonlinear systems which include an unknown virtual control coefficient, an unknown constant parameter, and a time-varying disturbance whose bound is unknown, We propose a new estimator for an un-known virtual control coefficient and present a robust adaptive backstepping design procedure which results in a smooth state feedback control law, a new two-dimensional parameter update law, and a $C^1$ Lyapunov function which is positive definite and proper.

Design of Controller for Nonlinear Multivariable System Using Dynamic Neural Unit (동적신경망을 이용한 비선형 다변수 시스템의 제어기 설계)

  • Cho, Hyun-Seob
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.9 no.5
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    • pp.1178-1183
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    • 2008
  • The variable structure control(VSC) with sliding mode is an important and interesting topic in modern control of nonlinear systems. However, the discontinuous control law in VSC leads to undesirable chattering in practice. As a method solving this problem, in this paper, we propose a scheme of the VSC with neural network sliding surface. A neural network sliding surface with boundary layer is employed to solve discontinuous control law. The proposed controller can eliminate the chattering problem of the conventional VSC. The effectiveness of the proposed control scheme is verified by simulation results.

A Controller Design of the Bilinear System for HVAC(Heating, Ventilating and Air-conditioning) System (냉난방 시스템의 이중선형 시스템에 관한 제어기 설계)

  • 이정석;강민수;김명호;이기서
    • Journal of the Korean Society for Railway
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    • v.3 no.4
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    • pp.177-184
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    • 2000
  • In this paper, a HVAC controller which has a bilinear system is designed to control the air temperature in building room and a saving of energy on the HVAC system. For modeling of the HVAC bilinear system, AHU(Air Handling Unit) is modeled on the control of inside-outside air flow using three dampers in a duct. A heat exchanger and the single room are also modeled by the energy conservation law. Under the modeling of the HVAC bilinear system, the control's law of the bilinear HVAC system is derived by Lyapunov's non-linear theory and Deress's the linear feedback laws for bilinear system. In this paper it was proved that the controller of the HVAC bilinear system is able to control the air temperature with a disturbance in order to get a target of temperature in the building room by the computer simulation when the control inputs regulate the air flow rate and a capacity of the heat exchanger.

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Robust control design for robots with uncertainty and joint-flexibility (불확실성 및 관절 유연성을 고려한 로봇의 견실제어기 설계)

  • M.C. Han
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.5
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    • pp.117-125
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    • 1995
  • An improved robust control law is proposed for uncertain rigid robots. The uncertainty is nonlinear and (possibly fast) time-varying. Therefore, the uncertain factors such as imperfect modeling, friction, payload change, and external disturbances are all addressed. Based on the possible bound of the uncertainty, the controller is constructed. For uncertain flexible-joint robots, some feedback control terms are then added to the proposed robust control law in order to stabilize the elastic vibrations at the joints. To show that the proposed control laws are indeed applicable, the stability study based on Lyapunov function, a singular perturbation approach, and simulation results are presented.

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A Design of Stable Adaptive Composite Control Systems (안정한 적응 이중 제어시스템의 설계)

  • Zhang, Jeong-Il;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 1994.11a
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    • pp.370-372
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    • 1994
  • In this paper, a stable adaptive composite control system consisting of a PID and a fuzzy controllers is designed to control nonlinear systems. In the fuzzy controller, parameters of membership functions characterizing the linguistic terms change according to some adaptive law. Also, parameters of PID controller change according to some adaptive law. These adaptive laws are based on the Lyapunov synthesis approach. Then, it is proved that the closed-loop system using such an adaptive composite control system is globally stable in the sense that all signals involved are bounded and the tracking error converges to zero. We apply this adaptive composite control system to control a nonlinear system.

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Application of Nonlinear Feedback Control to an Articulated Manipulator (수직다관절 매니퓰레이터에 대한 비선형 되먹임제어의 응용)

  • Y.S. Baek;C.I. Yang;H.S. Aum
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.9
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    • pp.104-114
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    • 1995
  • Mathematical models of industrial robots or manipulators are composed of highly nonlinear equations with nonlinear couplings between the variables of motions. These nonlin- earities were not considered important in the first stage that the working speed of the manipulator was not so fast, but the effect of nonlinear forces has become serious, as the working speed has been increased. So more improvement of performance cannot be expected by the control of manipulator using approximate linearization. As an approach for solving these problems, there is a method that eliminates nonlinear theory, which makes possible cecoupling of coupling terms and arbitrary arranging of poles is briefly introduced in this study. When the theory is applied to design the control law, its feasibility is examined whether the reasonable control results are obtained by simulating position, velocity, torque and tracing trajectory. The relations between the coefficients of the linearized differential equations and the maximum error and torque for the prescribed trajectory are also examined. Finally, the method for selecting the values for getting the most rapid and precise response within maximum torque of each drive is suggested in the choice of coefficients of characteristic equations which are obtained as a result of the control.

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