• Title, Summary, Keyword: canonical form

Search Result 150, Processing Time 0.038 seconds

Adaptive Observer Design for Nonlinear Systems Using Generalized Nonlinear Observer Canonical Form

  • Jo, Nam-Hoon;Son, Young-Ik
    • Journal of Mechanical Science and Technology
    • /
    • v.18 no.7
    • /
    • pp.1150-1158
    • /
    • 2004
  • In this paper, we present an adaptive observer for nonlinear systems that include unknown constant parameters and are not necessarily observable. Sufficient conditions are given for a nonlinear system to be transformed by state-space change of coordinates into an adaptive observer canonical form. Once a nonlinear system is transformed into the proposed adaptive observer canonical form, an adaptive observer can be designed under the assumption that a certain system is strictly positive real. An illustrative example is included to show the effectiveness of the proposed method.

The Design of Variable Structure Controller for the System in Phase Canonical Form with Incomplete State Measurements (비 측정 상태변수를 갖는 위상 표준형계통에 대한 가변구조 제어기의 설계)

  • 박귀태;최중경
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.41 no.8
    • /
    • pp.902-913
    • /
    • 1992
  • There have been several control schemes for the single input systems with unmeasurable state variables using variable structure control(VSC) theory. In the previous VSC, the systems must be represented in phase canonical form and the complete measurements for each state variable must be assumed. In order to eliminate these restrictions several VSC methods were proposed. And especially for the systems in phase canonical form with unmeasurable state variables, the reduced order switching function algorithm was proposed. But this method has many drawbacks and can not be used in the case of general form (not phase canonical form) dynamic system. Therefore this paper propose new construction method of switching fuction for the systems in phase canonical form, which reduce the restriction of reduced order switching function algorithm. And this algorithm can be realized for any state representation and adopted in the systems where not all states are available for switching function synthesis or control.

  • PDF

Observer Design for Multi-Output Unobservable Nonlinear Systems (관측가능하지 않은 다중출력 비선형 시스템의 관측기 설계기법)

  • 조남훈
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.10 no.7
    • /
    • pp.575-582
    • /
    • 2004
  • The observer design problem is studied for a class of multi-output nonlinear systems that are not necessarily observable. Generalized nonlinear observer canonical form is introduced for multi-output nonlinear systems to design nonlinear observers. Sufficient conditions are given for a nonlinear system to be transformed by state-space change of coordinates into generalized nonlinear observer canonical form. Based on this canonical from, a sufficient condition is also given for the existence of nonlinear observers. An illustrative example is presented to show the design procedure of the proposed method.

Nonlinear Observer Design using Dynamic System Extension (동적시스템 확장을 이용한 비선형시스템의 관측기 설계)

  • Jo Nam-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers D
    • /
    • v.53 no.11
    • /
    • pp.760-767
    • /
    • 2004
  • In this paper, we propose sufficient conditions under which nonlinear systems can be transformed into nonlinear observer canonical form in the extended state space by virtue of dynamic system extension. The proposed scheme weakens two major restrictions of observer error linearization technique. Once a nonlinear system is transformed into nonlinear observer canonical form using dynamic system extension, a state observer can be easily designed. Two illustrative examples are included in order to compare the proposed scheme and observer error linearization method.

CANONICAL FORM OF AN TRANSITIVE INTUITIONISTIC FUZZY MATRICES

  • LEE, HONG-YOUL;JEONG, NAE-GYEONG
    • Honam Mathematical Journal
    • /
    • v.27 no.4
    • /
    • pp.543-550
    • /
    • 2005
  • Some properties of a transitive fuzzy matrix are examined and the canonical form of the transitive fuzzy matrix is given using the properties. As a special case an open problem concerning idempotent matrices is solved. Thus we have the same result in a intuitionistic fuzzy matrix theory. In our results a nilpotent intuitionistic matrix and a symmetric intuitionistic matrix play an important role. We decompose a transitive intuitionistic fuzzy matrix into sum of a nilpotent intuitionistic matrix and a symmetric intuitionistic matrix. Then we obtain a canonical form of the transitive intuitionistic fuzzy matrix.

  • PDF

THE CANONICAL FORM OF INVOLUTARY FUZZY MATRICES

  • Kim, Chang Il;Park, Se Won
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.27 no.4
    • /
    • pp.615-624
    • /
    • 2014
  • We study special types of matrices. The involutary fuzzy matrices are important in various applications and have many interesting properties. Using the graphical method, we have the zero patterns of involutary fuzzy matrix, that is, involutary Boolean matrices. And we give the construction of all involutary fuzzy matrices for some dimensions and suggest the canonical form of involutary fuzzy matrix.

Adaptive Observer Design for Multi-Output Unobservable Nonlinear Systems (다중출력 관측불가능 비선형 시스템의 적응관측기 설계기법)

  • Jo Nam-Hoon
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.11 no.4
    • /
    • pp.271-278
    • /
    • 2005
  • In this paper, we present an adaptive observer for multi-output nonlinear systems that include unknown constant parameters and are not necessarily observable. Based on generalized nonlinear observer canonical form, new adaptive observer canonical form is proposed. Sufficient conditions are given for a nonlinear system to be transformed into the proposed adaptive observer canonical form. The existence of the proposed adaptive observer is given in terms of Lyapunov-like condition and SPR condition. An illustrative example is presented to show the design procedure of the proposed method.

A pole assignment method in a specified disk

  • Nguyen, van-Giap;Kim, Sang-Bong
    • 제어로봇시스템학회:학술대회논문집
    • /
    • /
    • pp.601-604
    • /
    • 1997
  • In this paper, a pole assignment problem in the unit disk for a linear discrete system is discussed. The analysis is based on the Luenberger's canonical form and Gershgorin's disk. The proposed method for pole assignment is convenient for a linear time invariant discrete system.

  • PDF

A Design of Variable Structure Controller for the General Single Input Systems with Unmeasurable State Variables (측정불가능한 상태변수를 갖는 일반적인 단일 입력 계통에 대한 가변구조 제어기의 설계)

  • 박귀태;최중경
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.41 no.7
    • /
    • pp.773-783
    • /
    • 1992
  • There have been several control schemes for the single input systems with unmeasurable state variables using variable structure control(VSC) theory. However, each of them is a study on the systems which can be represented in the phase canonical form or non-phase canonical form dynamic equation separately. As these control algorithms have difficulties in practical application by its theoretical limitations, in this paper we propose a new VSC theory which overcomes those limitations, in this paper we propose a new VSC theory which overcomes those limitations of proposed schemes. This new control scheme can be realized for the general linear systems which have unmeasurable state variables. And the switching function of this VSS algorithm consists of measurable state variable function(reduced-order switching function) and its derivatives. Also in the construction of control imput only measurable state variables are used.

  • PDF