• Title/Summary/Keyword: Bounded variation

Search Result 90, Processing Time 0.032 seconds

Robustness of discrete-time variable structure control to parametric uncertainties (매개변수의 불확실성에 대한 이산시간 가변구조 제어기법의 견실성)

  • 은용순;조동일
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1997.10a
    • /
    • pp.293-296
    • /
    • 1997
  • Robust stability conditions for discrete-time variable structure control is proposed. Conventionally the discrete-time variable structure control method with a variable structure uncertainty compensator approach requires a bounded changing rate of the uncertainties to ensure robust stability. However, when uncertainties vary as a function of state variables, which occur with parametric uncertainties, it is not reasonable to assume a bounded variation on the uncertainties. In this paper, uncertainties are assumed to consist of exogenous disturbances and parametric uncertainties. An uncertainty compensator is used to deal with the former, and a robust stability condition is derived using Small Gain Theorem for the latter.

  • PDF

A Krein Space Approach for Robust Extended Kalman Filtering on Mobile Robots in the Presence of Uncertainties

  • Jin, Seung-Hee;Park, Jin-Bae
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2003.10a
    • /
    • pp.1771-1776
    • /
    • 2003
  • In mobile robot navigation, one of the key problems is the pose estimation of the mobile robot. Although the odometry can be used to describe the motions of the mobile robots quite simple and accurately, the validities of the models are limited by a number of error sources contaminating the encoder outputs so that applying the conventional extended Kalman filter to these nominal model does not yield the satisfactory performance. As a remedy for this problem, we consider the uncertain nonlinear kinematic model of the mobile robot that contains the norm bounded uncertainties and also propose a new robust extended Kalman filter based on the Krein space approach. The proposed robust filter has the same recursive structure as the conventional extended Kalman filter and can hence be readily designed to effectively account for the uncertainties. The computer simulations will be given to verify the robustness against the parameter variation as well as the reliable performance of the proposed robust filter.

  • PDF

State Feedback Stabilization of Network Based Control Systems with Time-varying Delay (시변시간지연을 가지는 네트워크 기반 시스템의 상태궤환 안정화)

  • Jung Eui-Heon;Shu Young-Su;Lee Hong-Hee
    • The Transactions of the Korean Institute of Electrical Engineers D
    • /
    • v.53 no.11
    • /
    • pp.741-746
    • /
    • 2004
  • When investigating a control problem for network based control systems, the main issue is network-induced delay. This delay can degrade the performance of control systems designed without considering the delay and even destabilize the system. In this paper, we consider the stabilization of network based control systems, where there is bounded time-varying delay. This delay is treated like parameter variation of a discrete time system. The state feedback controller design is formulated as linear matrix inequality. Finally, we show that the stability of control systems designed with considering the delay is superior to that is not so.

Nonlinear Modification Scheme for Reducing Cautiousness of Linear Robust Control

  • Maki, Midori;Hagino, Kojiro
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1999.10a
    • /
    • pp.108-111
    • /
    • 1999
  • In this paper, we develope a composite control law for linear systems with norm-bounded time-varying parameter uncertainties, which consists of a basic linear robust control do-signed so as to generate a desired transient time-response for the worst-case parameter variation and a nonlinear modification term designed so as to reduce cautiousness of the linear robust control in an adaptive manner. The proposed controller is established such that the reduction of cautiousness of the linear robust control is well incorporated into the achievement of a good transient behavior.

  • PDF

ON STRONG Mα-INTEGRAL OF BANACH-VALUED FUNCTIONS

  • You, Xuexiao;Cheng, Jian;Zhao, Dafang
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.26 no.2
    • /
    • pp.259-268
    • /
    • 2013
  • In this paper, we define the Banach-valued strong $M_{\alpha}$-integral and study the primitive of the strong $M_{\alpha}$-integral in terms of the $M_{\alpha}$-variational measures. We also prove that every function of bounded variation is a multiplier for the strong $M_{\alpha}$-integral.

Statistical Approximation of Szász Type Operators Based on Charlier Polynomials

  • Kajla, Arun
    • Kyungpook Mathematical Journal
    • /
    • v.59 no.4
    • /
    • pp.679-688
    • /
    • 2019
  • In the present note, we study some approximation properties of the Szász type operators based on Charlier polynomials introduced by S. Varma and F. Taşdelen (Math. Comput. Modelling, 56 (5-6) (2012) 108-112). We establish the rates of A-statistical convergence of these operators. Finally, we prove a Voronovskaja type approximation theorem and local approximation theorem via the concept of A-statistical convergence.

Backstepping Control of Robot Manipulators Driven by Induction Motors Using Neural Networks

  • Kim, Jung-Wook;Kim, Dong-Hun;Kim, Hong-Pil;Yang, Hai-Won
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.37.5-37
    • /
    • 2001
  • A robust control for robot manipulators actuated by induction motors using neural networks(NNs) is considered. The control is designed to compensate for nonlinear dynamics associated with the mechanical subsystem and the electrical subsystems only with the measurements of link position, link velocity and stator winding currents. Two-layer NNs are used to approximate unknown functions occurring from parameter variation during backstepping design process. Specially, through the use of nonlinear observers for rotor flux, observed backstepping controller is designed to achieve uniform ultimately bounded link position tracking of the given reference signal ...

  • PDF

ON THE OSTROWSKI'S INEQUALITY FOR RIEMANN-STIELTJES INTEGRAL AND APPLICATIONS

  • Dragomir, S.S.
    • Journal of applied mathematics & informatics
    • /
    • v.7 no.3
    • /
    • pp.843-859
    • /
    • 2000
  • An Ostrowski type integral inequality for the Riemann-Stieltjes integral ${\int^b}_a$ f(t) du(t), where f is assumed to be of bounded variation on [a, b] and u is of r - H - $H\"{o}lder$ type on the same interval, is given. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.

ON GENERALIZATION OF BI-PSEUDO-STARLIKE FUNCTIONS

  • SHAH, SHUJAAT ALI;NOOR, KHALIDA INAYAT
    • Journal of applied mathematics & informatics
    • /
    • v.40 no.1_2
    • /
    • pp.341-350
    • /
    • 2022
  • We introduce certain subclasses of bi-univalent functions related to the strongly Janowski functions and discuss the Taylor-Maclaurin coefficients |a2| and |a3| for the newly defined classes. Also, we deduce certain new results and known results as special cases of our investigation.

Discrete Event System with Bounded Random Time Variation (제한된 시간변동을 갖는 시간제약 이산사건시스템의 스케줄링 분석)

  • Kim Ja Hui;Lee Tae Eok
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2002.05a
    • /
    • pp.923-929
    • /
    • 2002
  • We discuss scheduling analysis for a discrete event system with time windows of which firing or holding time delays are subject to random variation within some finite range. To do this, we propose a modified p-lime Petri net, named p+-time Petri net. We develop a condition for which a synchronized transition does not have a dead token, that is, the firing epochs do not violate the time window constraints. We propose a method of computing the feasible range of the token sojourn time at each place based on a time difference graph. We also discuss an application for analyzing wafer residency times within the process chambers for a dual-armed cluster tool for chemical vapor deposition.

  • PDF