• Title/Summary/Keyword: Linear Observer

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The syntax of Linear logic (선형논리의 통사론)

  • Cheong, Kye-Seop
    • Journal for History of Mathematics
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    • v.25 no.3
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    • pp.29-39
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    • 2012
  • As a product of modern proof theory, linear logic is a new form of logic developed for the purpose of enhancing programming language by Professor Jean-Yves Girard of Marseille University (France) in 1987 by supplementing intuitionist logic in a sophisticated manner. Thus, linear logic' s connectives can be explained using information processing terms such as sequentiality and parallel computation. For instance, A${\otimes}$B shows two processes, A and B, carried out one after another. A&B is linked to an internal indeterminate, allowing an observer to select either A or B. A${\oplus}$B is an external indeterminate, and as such, an observer knows that either A or B holds true, but does not know which process will be true. A ${\wp}$ B signifies parallel computation of process A and process B; linear negative exhibits synchronization, that is, in order for the process A to be carried out, both A and $A^{\bot}$ have to be accomplished simultaneously. Since the field of linear logic is not very active in Korea at present, this paper deals only with syntax aspect of linear logic in order to arouse interest in the subject, leaving semantics and proof nets for future studies.

Observers for linear descriptor systems with unmeasurable disturbances

  • Kawaji, Shigeyasu;Kim, Hwan-Seong
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.492-495
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    • 1995
  • A simple method to design observers for linear describtor systems with unmeasureable disturbance is represented by the response of a linear free system. The sufficient conditions for the existence of the observer are given. The design procedures of an identify and a minimal order observers are shown, respectively.

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Robust adaptive control of linear time-varying systems which are not necessarily slowly varying

  • Song, Chan-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1424-1429
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    • 1990
  • This paper presents an indirect adaptive control scheme for discrete linear systems whose parameters are not necessrily slowly varying. It is assumed that system parameters are modelled as linear combinations of known bounded functions with unknown constant coefficients. Unknown coefficients are estimated using a recursive least squares algorithm with a dead zone and a forgetting factor. A control law which makes the estimated model exponentially stable is constructed. With this control law and a state observer, all based on the parameter estimates, it is shown that the resulting closed-loop system is globally stable and robust to bounded external disturbances and small unmodelled plant uncertainties.

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Stabilization of Piecewise-Linear Systems with Unknown Switching Information

  • Lee, G.D.;Kim, S.W.
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.533-533
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    • 2000
  • Stabilization of piecewise-linear systems with unknown switching information is presented. The current subsystem is identified from the output, and the identified subsystem is used for the observer-based control. The stability of the overall system is proven and the performance is evaluated via a simulation.

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Fault Detection of a Spacecraft's Reaction Wheels by Extended Unknown Input Observer (확장형 미지입력 관측기를 이용한 위성 반작용 휠의 고장 검출)

  • Jin, Jae-Hyun;Yong, Ki-Ryeok
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.11
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    • pp.1138-1144
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    • 2011
  • This article deals with the problem of fault detection of a spacecraft's actuators. The authors introduce an extended unknown input observer for nonlinear systems. This is an extended form of unknown input observers which are used for linear systems. Since faults are not available, those are considered as unknown inputs. Unknown input observers can estimate states without full information of inputs if some conditions are satisfied. The authors suggest a continuous-time extended UIO (eUIO) and prove the convergence of state estimation errors. Since the dynamic equation of a spacecraft is nonlinear, an extended UIO can be applied. Three eUIOs are designed to monitor three reaction wheels. The moving averages of each eUIO's residuals are selected for decision logic. The proposed method is verified by numerical simulations.

Design of Robust Feedback Controller for Turbo let Engine : Time Domain Approach (터보 젯 엔진을 위한 강인성 궤환 제어기의 설계 : 시간영역 해석)

  • 손영창;김승우;지원호
    • Journal of the Korean Society of Propulsion Engineers
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    • v.2 no.2
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    • pp.38-46
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    • 1998
  • A theoretical and an empirical application of the speed control of a single-shaft turbo-jet engine was done using an observer for Linear Quadratic Gausian(LQG) that is one of the robust control fields. Based on a general controller design with state feedback, a controller with output feedback was designed to find out a sufficient condition in finding an Asymptotic Stability After defining of the total system through the modeling of a real turbo-jet engine, a Tracking Control was carried out. Furthermore, a saturation of the control input was theoretically considered in the output feedback controller to simulate more similar real condition.

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Observer-Based Output-feedback Sampled-Data Controlling the Singularly Perturbed Takagi-Sugeno Fuzzy Model (특이섭동 타카기 수게노 퍼지모델의 관측기기반 - 출력궤환 샘플치제어)

  • Kang, Hyoung Bin;Moon, Ji Hyun;Lee, Ho Jae
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.9
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    • pp.679-685
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    • 2016
  • This paper addresses an observer-based output-feedback sampled-data controller design problem for nonlinear systems in Takagi-Sugeno (T-S) form including singular perturbations. The design condition is represented in terms of linear matrix inequalities. The separation principle is also investigated.

All Stabilizing Disturbance Observer Design for Precise Position Control (정밀 위치제어를 위한 상안정 외란관측기 설계)

  • Suh, Sang-Min;Kim, Ha-Yong;Kim, Kyung-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.8
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    • pp.710-716
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    • 2010
  • This note represents a new disturbance observer to reduce effects of external disturbances. In case of conventional disturbance observers, additional stabilizing filters, so-called Q-filter, should be used because the conventional ones don't guarantee stability. But, the proposed one doesn't need the stabilizing filter, which is a fundamentally different research result from previous methods. Experimental verifications show this approach is realizable and valid to enhance precise positioning.

Design of a Fuzzy Model-Based State Observer Using GAs (유전알고리즘에 의한 퍼지모델기반의 상태관측기 설계)

  • 이현식;손영득;김종화;유영호;하윤수;진강규
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.1
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    • pp.162-170
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    • 2001
  • This paper presents a scheme for designing a fuzzy model-bsaed state observer for nonlinear system. For this scheme, a Tagaki-Sugeno type fuzzy model whose consequent part is of the state space form is obtained. In describes the locally linear input/output relationship of a system. The parameters of the fuzzy model are adjusted using a genetic algorithm. Then. fuzzy full-order and reduced-order state observers are designed based on the fuzzy model. A set of simulation works is carried out to demonstrate the effectiveness of the proposed scheme.

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Control of nonlinear systems with mismatched uncertainties using an output feedback (출력피드백에 의한 비매칭 불확실성이 있는 비선형계의 제어)

  • Park, Chang-Yong;Sung, Yul-Wan;Kwon, Oh-Kyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.8
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    • pp.1188-1194
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    • 1997
  • In this paper, we design output feedback nonlinear dynamic control law by using state feedback nonlinear dynamic compensator and PI observer and show that the controller can stabilize globally and asymptotically a class of nonlinear systems with mismatched uncertainties. We also show that it is possible for a nonlinear system to use the output of PI observer in place of state variables in case that the nonlinear dynamic control law is used, similarly as in the linear system. The effectiveness of the proposed control law is demonstrated by a numerical simulation.