• Title/Summary/Keyword: Control criterion

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Variable structure control for matched and unmatched uncertainty with quadratic criterion

  • Rhee, Bond-Jae;Park, Ju-Hyun;Won, Sangchul
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.458-463
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    • 1997
  • In this paper, we propose a variable structure control approach for the system with matched and unmatched uncertainty. By using time-varying sliding mode, the reaching mode is removed, and the design methodology represents a realistic design approach with quadratic criterion for systems incorporating both matched and unmatched uncertainties. The criterion contains states and linear part of input for all time. The practical application of the control strategy is presented in the design of a stability augmentation system for an aircraft is presented.

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Stability Criterion of Repetitive Control System Using Phase-Lead and Lag Compensator (진상,지상 보상기를 고려한 반복제어계의 안정성 판별)

  • 서진호;강병철;김상봉
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.41-45
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    • 1997
  • To design a control system, it is a elementary point that the stability of the system should be guaranteed. Also, the phase of the system plays an important role for its frequence performance. In this paper, we present two stability criterion of repetitive control system with phase-lead and lag compensator. First, the stability criterion for the servo control system with phase-lead and lag compensator is shown by using small-gain theorem. Second, for the repetitive control system with the compensator, the stability criterion, also, is determined by using small-gain theorem. Two stability criterions show the same results that the stability depends on a coefficient of the phase-lead and lag compensator under some condition in servo control system and repetitive control system.

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Observer-based Control for Switched Linear Systems (선형 스위칭 시스템의 관측기 기반 제어)

  • Yeom, Dong-Hae;Im, Ki-Hong;Choi, Jin-Young
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.92-94
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    • 2004
  • In the previous work, we proposed a new stability criterion for the stability of switched linear systems. By the proposed criterion, we could simply check the stability of switched linear systems because the criterion is applicable to each individual subsystem without need to consider the overall system. Using this criterion, we provided the methods that design a state feedback control when full states are available. In this paper, we apply the same criterion to the case when full states are not available. Unlike existing method such as dwelling time analysis, the proposed method is suitable to a fast switching process because there is no need to consider dwelling time. And we can easily achieve designing multi-controller, multi-estimator, and the supervisor by means of the proposed method.

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Stability Criterion for Sampled-Data System with Sliding Mode Controller (슬라이딩 모드 제어기가 적용된 샘플치 시스템에 대한 안정도 판별 조건)

  • Park, Heum-Yong;Jo, Young-Hun;Park, Kang-Bak
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.2
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    • pp.135-138
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    • 2011
  • Although most of control methods have been studied in the continuous-time domain, the actual control systems have been implemented using MCU (Micro Control Unit) and/or microprocessors so that the overall systems turn to be sampled-data systems. In this case, the stability criterion of the closed-loop system is not easy to derive. In this paper, a simple stability criterion for the sampled-data system with sliding mode controller is derived.

Robust Delay-dependent Stability Criterion for Uncertain Networked Control System (불확실성이 존재하는 네트워크 제어시스템의 강인 지연의존 안정성 판별법)

  • Park, Myeongjin;Kwon, Ohmin;Park, Ju H.
    • IEMEK Journal of Embedded Systems and Applications
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    • v.4 no.2
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    • pp.97-102
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    • 2009
  • In this paper, the problem of stability analysis for networked control systems with norm-bounded parameter uncertainties is investigated. By construction Lyapunov's functional, a new delay-dependent stability criterion for uncertain networked control system is established in terms of LMIs (linear matrix inequalities) which can be easily by various convex optimization algorithms. One numerical example is included to show the effectiveness of proposed criterion.

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Interaction Analysis in Process Control System Structure Synthesis (공정제어 구조합성에서의 상호작용 해석)

  • 고재욱
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.643-646
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    • 1987
  • A criterion is developed for the, selection of the best pairing of the control and manipulated variables and for the interaction analysis of decentralized multi-input multi-output control systems. This criterion is based on the difficulty caused by the interaction terms in finding the in-verse of the block steady gain matrix. A quantitative measure of the best pairing is obtained from the resemblance of a set of independent block multi-loop systems. Several examples show the validity of the pairing criterion.

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New Stability Criterion and Pole Assignment for Switched Linear Systems

  • Yeom Dong-Hae;Im Ki-Hong;Choi Jin-Young
    • International Journal of Control, Automation, and Systems
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    • v.3 no.4
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    • pp.580-590
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    • 2005
  • In this paper, we propose a new stability criterion and a controller design method for switched linear systems. The proposed stability criterion is applicable to each subsystem independently without the need to consider the overall system. The controller can be easily designed through geometric relations between eigenvalues of each subsystem matrix. The proposed methods provide a systematic and simple pole assignment approach for switched linear systems. Illustrative examples are given.

A Criterion for Interaction Analysis and Loop Pairing Among Control System Variables (제어 시스템 변수들간의 상호작용 해석 및 루프 페어링을 위한 판별기준)

  • Ko Jae Wook;Yoon En Sup;Evans L. B.
    • Journal of the Korean Institute of Gas
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    • v.3 no.1
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    • pp.64-74
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    • 1999
  • Using the steady state gains, an appropriate criterion used for the interaction analysis among variables and the loop pairing is suggested. Based upon the suggested criterion derived from the derivative relation of implicit function, the SISO pairing which has minimum interaction among control system variables and good control performance can be determined. The relative effect among diagonal gains and off-diagona gains, which was not considered in other criteria, can be explained deterministically Also, the criterion can be easily applied to partial MIMO pairing. This criterion was applied to several examples to illustrate its usefulness in finding the feasible SISO pairing and MIMO pairing

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Aircraft and spacecraft structural analysis with hybrid criterion of smart control

  • C.C., Hung;T., Nguyen
    • Advances in aircraft and spacecraft science
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    • v.9 no.6
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    • pp.553-569
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    • 2022
  • In this article, we propose a criterion for ensuring the asymptotic stability of large multiple delays, based on the direct Lyapunov method. Based on this criterion and distributed control scheme, the controllers are synthesized by the PDC to stabilize these large-scale systems with multiple delays. And we focus on the results which shows the high effective by the proposed theory utilized for damage propagation for aircraft structural analysis of composite materials. Finally, the numerical simulations confirmed the effectiveness of the method.

Characteristics of One Step Advanced Discrete Time D-Control with Time Delay in Noncolocated Flexible System (비병치 유연계의 시간지연 이산제어에서 한스텝선행 미분제어기의 특성)

  • Kang, Min-Sig
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.7 s.94
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    • pp.1678-1685
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    • 1993
  • This paper considers a time delay control of noncolocated flexible mechanical systems in discrete time domain. A stability criterion suggested in the previous paper is,extended in the consideration of infinite mode property of flexible systems and finite control sampling frequency. Based on the stability criterion, the one step advanced discrete time derivative control is suggested, which can stabilize infinite number of modes of a flexible system. The sensitivity analysis shows the robustness of the one step advanced control to the system parameter uncertainties and time delay errors. Application to a simply supported beam verifies the extended stability criterion and the effectiveness of the one step advanced D-control.