• Title/Summary/Keyword: new bounds

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Sliding Mode Control Using the Lower Bound of Control Gain (제어이득의 하한을 이용한 새로운 슬라이딩 모드제어)

  • 유병국
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.9
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    • pp.664-668
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    • 2003
  • A new sliding mode control method based on the lower bound of control gain is presented. Although the magnitube of the proposed control input is larger than that of the conventional control input using both lower and upper bounds, the positive-negative exchanging chattering is reduced and reaching mode is shorter. Because the proposed scheme needs only the lower bound of control gain, it is applicable to the system whose upper bound of control gain is doubtful to determine such as the control gain depends on the system states. It is proved that the proposed control method guarantees the sliding condition. The analysis of differences between the conventional method and the proposed method is given. The validity of the proposed control strategy is shown through a 2nd-order nonlinear system example.

A Sliding Mode Controller Using Neural Network for Underwater Robot Manipulator (해저작업 로봇 매니퓰레이터를 위한 신경회로망을 이용한 슬라이딩 모드 제어기)

  • Lee, Min-Ho;Choi, Hyung-Sik
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.4
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    • pp.305-312
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    • 2000
  • This paper presents a new control scheme using a sliding mode controller with a multilayer neural network for the robot manipulator operating under the sea which has large uncertainties such as the buoyancy and the added mass/moment of inertia. The multilayer neural network using the error back propagation loaming algorithm acts as a compensator of the conventional sliding mode controller to improve the control performance when the initial assumptions of uncertainty bounds are not valid. Computer simulation results show that the proposed control scheme gives an effective path way to cope with the unexpected large uncertainties in the underwater robot manipulator.

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Exponential Stability of th PDAF with a Modified Riccati Equation a Cluttered Environment

  • Kim, Young-Shik;Hong, Keum-Shik
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.4
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    • pp.235-243
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    • 2000
  • The probabilistic data association filter(PDAF) is known to provide better tracking performance than the standard Kalman filter(KF) in a cluttered environment. In this paper, the stability of the PDAF of Fortmann et al[7], in the presence of uncertainties with regard to the origin of measurement, is investigated. The modified Riccati equation derived by approximating two random terms with their expectations is used to prove the stability of the PDAF. A new Lyapunov function based approach, which is different from the quantitative evaluation of Li and Bar-Shalom[7], is pursued. With the assumption that the system and observation noises are bounded, specific tracking error bounds are established.

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Maximum Allowable Delay Bounds and Real-time Scheduling Method of Networked Discrete-time Control Systems (네트워크 기반 이산 시간 제어 시스템의 최대 허용 지연 한계 및 실시간 스케줄링 기법에 관한 연구)

  • Kim Dong-Sung;Choi Dong-Hyuk
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.7
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    • pp.719-727
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    • 2006
  • This paper proposes a new method to obtain a maximum allowable delay bound for a scheduling of networked discrete control systems and event-based scheduling method. The proposed method is formulated in terms of linear matrix inequalities and can give a much less conservative delay bound than the existing methods. A network scheduling method is presented based on the delay obtained through the proposed method, and it can adjust the sampling period to allocate same utilization to each control loop. The presented method can handle three types of data (sporadic, emergency data, periodic data and non real-time message) and guarantees real-time transmission of periodic and sporadic emergency data using modified EDF scheduling method.

A study of environment marketing introduction plan in railroading : for the Green-railway embodiment of the korail (철도경영에 있어서의 환경마케팅 도입방안에 관한 연구)

  • Jung Ye-Seoung;Choi Gil-Mook
    • Proceedings of the KSR Conference
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    • 2005.05a
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    • pp.971-978
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    • 2005
  • 21century world is changing by leaps and bounds and this among one of new issue ready front environment be. Specially, the human social economy enemy, current of change is already happening even if there is in traffic industry that back activity. That is, point that railroad has competitive power and comparative advantage than other transportation until transportation system construction that is environment-friendly as part of country comparative power strengthening is embossed newly. On this time, railroad reached time that environment management that it is applied that is environment-Paradigm over management whole as well as field of technology such as construction and rolling stocks is necessary. This paper wishes to grope plan that introduce this in railroading hereafter by examining necessity introduction in railway operation through environment marketing example. It must go to Ready front Green-railway.

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Development of Critical Heat Flux Correction Factor for Water under Flow Oscillation Conditions

  • Kim, Yun-Il;Baek, Won-Pil;Chang, Soon-Heung
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.11a
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    • pp.242-247
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    • 1996
  • Flow oscillations in boiling channels induces a drastic reduction of the (critical heat flux) CHF or premature burnout. However, most of CHF works and correlations have been focused on stable flow conditions without considering flow oscillation. Therefore to improve the understanding on flow oscillation CHF, in this paper a new CHF correction factor to predict the CHF values under flow oscillation conditions has been developed from 126 experimental data. Also to investigate the dominant factor on flow oscillation CHF parametric trends are analyzed by using the developed correction factor. The overall mean accuracy ratio of the developed correction factor is 1.033 with a standard deviation of 0.195. The RMS errors 0.198. Its assessment shows that the predictions agree well with the experimental data within 25% error bounds.

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Neural Robust Control for Perturbed Crane Systems

  • Cho Hyun-Cheol;Fadali M.Sami;Lee Young-Jin;Lee Kwon-Soon
    • Journal of Mechanical Science and Technology
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    • v.20 no.5
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    • pp.591-601
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    • 2006
  • In this paper, we present a new control methodology for perturbed crane systems. Nonlinear crane systems are transformed to linear models by feedback linearization. An inverse dynamic equation is applied to compute the system PD control force. The PD control parameters are selected based on a nominal model and are therefore suboptimal for a perturbed system. To achieve the desired performance despite model perturbations, we construct a neural network auxiliary controller to compensate for modeling errors and disturbances. The overall control input is the sum of the nominal PD control and the neural auxiliary control. The neural network is iteratively trained with a perturbed system until acceptable performance is attained. We apply the proposed control scheme to 2- and 3-degree-of-freedom (D.O.F.) crane systems, with known bounds on the payload mass. The effectiveness of the control approach is numerically demonstrated through computer simulation experiments.

ON BONNESEN-STYLE ALEKSANDROV-FENCHEL INEQUALITIES IN ℝn

  • Zeng, Chunna
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.799-816
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    • 2017
  • In this paper, we investigate the Bonnesen-style Aleksandrov-Fenchel inequalities in ${\mathbb{R}}^n$, which are the generalization of known Bonnesen-style inequalities. We first define the i-th symmetric mixed homothetic deficit ${\Delta}_i(K,L)$ and its special case, the i-th Aleksandrov-Fenchel isoperimetric deficit ${\Delta}_i(K)$. Secondly, we obtain some lower bounds of (n - 1)-th Aleksandrov Fenchel isoperimetric deficit ${\Delta}_{n-1}(K)$. Theorem 4 strengthens Groemer's result. As direct consequences, the stronger isoperimetric inequalities are established when n = 2 and n = 3. Finally, the reverse Bonnesen-style Aleksandrov-Fenchel inequalities are obtained. As a consequence, the new reverse Bonnesen-style inequality is obtained.

Small discriminants

  • Hahn, S.;Oh, Y.
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.2
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    • pp.201-204
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    • 1992
  • After this discovery of lower bounds by Stark and Odlyzko, some people searched for number fields with relatively small discriminants. Also some others studied algorithms which will produce number fields with the smallest absolute value of the discriminant for a fixed degree n. However, this algorithmic approach does not work well if the extension degree n is greater than seven or eight. And it is not clear whether current computers can finish those algorithms in a reasonable amount of time for large n. So we are justified in our approach for this subject. In this paper we will report the results of our computations. Some number fields we found are better than previously known examples. Others are rediscoveries of known examples. However, there is theoretically nothing new in our approach to this subject.

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On Achievable Information Rates for Multiuser MIMO Systems with MMSE-Based Tomlinson-Harashima Precoding

  • Hui, Bing;Chang, Kyung-Hi
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.8C
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    • pp.750-755
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    • 2009
  • Tomlinson-Harashima precoding (THP) is considered as a prominent precoding scheme due to its capability to cancel out the known interference at the transmitter side. Therefore, the information rates achieved by THP are superior to those achieved by conventional linear precoding schemes. In this paper, a new lower bound on the achievable information rate by the regularized THP under additive white Gaussian noise (AWGN) channel with multiuser interference is derived. Analytical results show that the lower bound derived in this paper is tighter than the original lower bound particularly at low SNR range, while both lower bounds converge to the same lower limit as SNR$\rightarrow$$\infty$.