• Title/Summary/Keyword: bounded control

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An Adaptive Fuzzy Backstepping Approach to Robust Tracking Control of a Single-Link Flexible Joint Robot (적응형 퍼지 백스테핑 방식을 이용한 단일축 유연관절 로봇의 강인 제어)

  • 김은태;이희진
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.4
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    • pp.1-12
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    • 2004
  • This paper presents an adaptive fuzzy backstepping (AFB) controller for a single-link flexible joint robot in the Presence of Parametric uncertainties and external disturbances. Adaptive fuzzy logic systems are used as universal approximators to counteract the model uncertainties coming from robot dynamics and to compensate for the nonlinearities coming from adaptive backstepping method. The approach suggested herein does not require neither an additional supervisory nor a robustifying controller and guarantees that tracking error is uniformly ultimately bounded (UUB) within a sufficiently small residual set. Finally, a simulation result is given to demonstrate the robust tracking performance of proposed design method.

Adaptive Sliding Mode Control of Nonlinear Systems Using Neural Network and Disturbance Estimation Technique (신경망과 외란 추정 기법을 이용한 비선형 시스템의 적응 슬라이딩 모드 제어)

  • Lee, Jae-Young;Park, Jin-Bae;Choi, Yoon-Ho
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.1759-1760
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    • 2008
  • This paper proposes a neural network(NN)-based adaptive sliding mode controller for discrete-time nonlinear systems. By using disturbance estimation technique, a sliding mode controller is designed, which forces the sliding variable to be zero. Then, NN compensator with hidden-layer-to-output-layer weight update rule is combined with sliding mode controller in order to reduce the error of the estimates of both disturbances and nonlinear functions. The whole closed loop system rejects disturbances excellently and is proved to be ultimately uniformly bounded(UUB) provided that certain conditions for design parameters are satisfied.

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CONSTRAINED INTERPOLATION USING RATONAL CUBIC SPLINE WITH LINEAR DENOMINATORS

  • Duan, Qi;Xu, Gongxue;Liu, Aikui;Wang, Xuefu;Cheng, Fuhua
    • Journal of applied mathematics & informatics
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    • v.6 no.1
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    • pp.203-216
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    • 1999
  • In this paper a rational cubic interpolant spline with linear denominator has been constructed and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally the approximation properties have been studied.

STRONG CONVERGENCE OF MONOTONE CQ ITERATIVE PROCESS FOR ASYMPTOTICALLY STRICT PSEUDO-CONTRACTIVE MAPPINGS

  • Zhang, Hong;Su, Yongfu;Li, Mengqin
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.763-771
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    • 2009
  • T.H. Kim, H.K. Xu, [Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions, Nonlinear Anal.(2007),doi:l0.l016/j.na.2007.02.029.] proved the strong convergence for asymptotically strict pseudo-contractions by the classical CQ iterative method. In this paper, we apply the monotone CQ iterative method to modify the classical CQ iterative method of T.H. Kim, H.K. Xu, and to obtain the strong convergence theorems for asymptotically strict pseudo-contractions. In the proved process of this paper, Cauchy sequences method is used, so we complete the proof without using the demi-closedness principle, Opial's condition or others about weak topological technologies. In addition, we use a ingenious technology to avoid defining that F(T) is bounded. On the other hand, we relax the restriction on the control sequence of iterative scheme.

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SPECTRAL PROPERTIES OF k-QUASI-2-ISOMETRIC OPERATORS

  • SHEN, JUNKI;ZUO, FEI
    • The Pure and Applied Mathematics
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    • v.22 no.3
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    • pp.275-283
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    • 2015
  • Let T be a bounded linear operator on a complex Hilbert space H. For a positive integer k, an operator T is said to be a k-quasi-2-isometric operator if T∗k(T∗2T2 − 2TT + I)Tk = 0, which is a generalization of 2-isometric operator. In this paper, we consider basic structural properties of k-quasi-2-isometric operators. Moreover, we give some examples of k-quasi-2-isometric operators. Finally, we prove that generalized Weyl’s theorem holds for polynomially k-quasi-2-isometric operators.

Modeling Slotted Aloha of WBAN in Non-Saturated Conditions

  • Chowdhury, Mohammad Sanaullah;Khan, Pervez;Jung, Jaijin;Kwak, Kyung Sup
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.6
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    • pp.1901-1913
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    • 2014
  • The IEEE 802.15.6 is a communication standard for Wireless Body Area Networks (WBANs). This standard includes a prioritized slotted Aloha as a choice for medium access control. This protocol is different from the traditional version as it has integral considerations for certain priorities of users. It attempts to resolve collision by halving the probability of retransmission, lower bounded by to a minimum, in the alternate slots to follow. In this paper, we present an analytical model to compute the non-saturated throughput of this protocol in the presence of finite number of nodes. The model is validated against simulation.

Robust pole assignment inside a disk of uncertain linear system (불확정성 선형시스템의 원판내 강인 극점배치)

  • Park, Sang-Min;Kim, Jin-Hoon;Ryu, Jeong-Woong
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.431-433
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    • 1997
  • In this paper, we consider the robust pole assignment inside the circular region for linear systems with time-varing uncertainty. The considered uncertainties are the norm bounded uncertainty and the matrix polytopes type uncertainty. Since the considered uncertainties are time-varying, it should remind that the closed loop system be time-varing system. Therefore, we should consider not only the pole assignment but also the stability. We present new conditions that guarantee the robust pole assignment and the robust stability. Finally, we show the usefulness of our results by an example.

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A study on the work study application in industry (작업관리기법의 활용실태에 관한 조사연구)

  • 안세희
    • Journal of the Korean Professional Engineers Association
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    • v.16 no.4
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    • pp.20-31
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    • 1983
  • Study was made for the work study application in industry by sampling one thousand manufacturing companies. Small and medium industries are far behind in systematic application of the work study technique. Large industries are gradually introducing the work study technique systematically in line with the nation-wide quality control movement. Major sessions that the industries feel important in IE curriculum were QC, Work study and Cost accounting followed by the Organization theory, Industrial psychology, and Labor relations. Most of the industries were still less aware of the sophisticated fields such as OR, SE and Simulation. They put more emphasis on QC and TQC and as a result, work study should be closely bounded to TQC in order to systemize the work study application in the future.

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Regional Identifiability of Spatially-Varying Parameters in Distributed Parameter Systems of Hyperbolic Type

  • Nakagiri, Shin-ichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.423-428
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    • 1998
  • This paper studies the regional identifiability of spatially-varying parameters in distributed parameter systems of hyperbolic type. Let Ω be a bounded domain of R$^n$and let Ωo be a subregion of the closed domain Ω. The distributed parameter systems having unknown parameters defined on Ω are described by the second order evolution equations in the filbert space L$^2$(Ω) and the observations are made on the subregion Ωo ⊂ Ω. The regional identifiability is formulated as the uniqueness of parameters by the identity of solutions on the subregion. Several regional identifiability results of the spatially-varying parameters of hyperbolic distributed parameter systems are established by means of the Riesz spectral representations.

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A Study on Inventory Control Policy for Quantity-Discount and Budget Constraint (수량 할인과 예산 제약을 고려한 재고관리 정책에 관한 연구)

  • Lee, Dongju
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.38 no.2
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    • pp.145-151
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    • 2015
  • As order quantity is increased, the ordering cost per item will be cheaper due to saving of transportation and material handling costs. In this paper, two realistic assumptions such as quantity discount and budget limit are considered. Quantity discount means that all units in the order will be discounted according to the predetermined order levels. Budget limit represents that the costs for inventory investments are bounded. This paper develops a Lagrangian relaxation approach for a continuous review inventory model with a budget constraint and quantity discounts. Computational results indicate that the proposed approach provides a good solution. Sensitivity analysis is done to get some insights on budget limit and quantity discount. As budget limit or the amount of discount according to order quantity is increased, order quantity is increased, whereas reorder point is not always increased.