• Title/Summary/Keyword: controller design problem

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Robust Predictive Feedback Control for Constrained Systems

  • Giovanini, Leonardo;Grimble, Michael
    • International Journal of Control, Automation, and Systems
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    • v.2 no.4
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    • pp.407-422
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    • 2004
  • A new method for the design of predictive controllers for SISO systems is presented. The proposed technique allows uncertainties and constraints to be concluded in the design of the control law. The goal is to design, at each sample instant, a predictive feedback control law that minimizes a performance measure and guarantees of constraints are satisfied for a set of models that describes the system to be controlled. The predictive controller consists of a finite horizon parametric-optimization problem with an additional constraint over the manipulated variable behavior. This is an end-constraint based approach that ensures the exponential stability of the closed-loop system. The inclusion of this additional constraint, in the on-line optimization algorithm, enables robust stability properties to be demonstrated for the closed-loop system. This is the case even though constraints and disturbances are present. Finally, simulation results are presented using a nonlinear continuous stirred tank reactor model.

Key Application Technologies of High Efficiency Power Quality Control Systems

  • Liu, Ding-Guo;Shuai, Zhi-Kang;Tu, Chun-Ming;Cheng, Ying;Luo, An
    • Journal of Power Electronics
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    • v.13 no.3
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    • pp.458-468
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    • 2013
  • Large capacity reactive power compensation and harmonic control in the low-voltage grid of an enterprise, are important technical means to improve power quality and reduce power loss. In this paper, the principle of an efficient power quality controller is analyzed. Then, key application technologies of the HPQC which would influence the performances of the HPQC are studied. Based on an analysis of the harmonic shunt problem, a frequency dividing control strategy of the HPQC continuous subsystem is proposed. A parameter design method of the HPQC discrete subsystem and its installation method are also proposed to ensure the system compensation effect. HPQC systems have been designed for a copper foil plant. The effectiveness of this paper has been verified by the simulation and application results.

Robust Low-complexity Design for Tracking Control of Uncertain Switched Pure-feedback Systems with Unknown Control Direction (미지의 방향성을 갖는 불확실한 스위치드 순궤환 시스템의 추종 제어를 위한 강인 저 복잡성 설계)

  • Lee, Seung-Woo;Yoo, Sung-Jin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.1
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    • pp.153-158
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    • 2017
  • This paper investigates a robust low-complexity design problem for tracking control of uncertain switched pure-feedback systems in the presence of unknown control direction. The completely unknown non-affine nonlinearities are assumed to be arbitrarily switched. By combining the nonlinear error transformation technique and Nussbaum-type functions, a robust tracking controller is designed without using any adaptive function approximators. Thus, compared with existing results, the proposed control scheme has the low-complexity property. From Lyapunov stability theory, it is shown that the tracking error remains within the preassigned transient and steady-state error bounds.

Robust Control of a Seeker Scan Loop System Using ${\mu}$-Systheis (${\mu}$-합성법을 이용한 탐색기 주사루프의 강인 제어)

  • Lee, Ho-Pyeong
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.3 s.96
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    • pp.180-188
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    • 1999
  • ${\mu}$-synthesis is applied to design a robust controller for a seeker scan loop system which has model uncertainty and is subject to a external disturbance due to abrupt missile maneuver. The issue of modelling a real-valued parametric uncertainty of a physical seeker scan loop system is discussed. The two-degree-of-frame control structure is employed to obtain better performance. It is shown that ${\mu}$-synthesis provides a superior framework for the robust control design of a seeker scan loop system which exhibits robust performance. The proposed robust control system satisfies design requirements, and especially shows good scanning performances for conical and rosette scan patterns despite parametric uncertainty in real system model.

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Positive Real Control for Uncertain 2-D Singular Roesser Models

  • Xu Huiling;Xie Lihua;Xu Shenyuan;Zou Yun
    • International Journal of Control, Automation, and Systems
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    • v.3 no.2
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    • pp.195-201
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    • 2005
  • This paper discusses the problem of positive real control for uncertain 2-D linear discrete time singular Roesser models (2-D SRM) with time-invariant norm-bounded parameter uncertainty. The purpose of this study is to design a state feedback controller such that the resulting closed-loop system is acceptable, jump modes free and stable, and achieves the extended strictly positive realness for all admissible uncertainties. A version of positive real lemma for the 2-D SRM is given in terms of linear matrix inequalities (LMIs). Based on the lemma, a sufficient condition for the solvability of the positive real control problem is derived in terms of bilinear matrix inequalities (BMIs) and an iterative procedure for solving the BMIs is proposed.

Optimal Guaranteed Cost Control of Linear Uncertain Systems with Input Constraints

  • Yu Li;Han Qing-Long;Sun Ming-Xuan
    • International Journal of Control, Automation, and Systems
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    • v.3 no.3
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    • pp.397-402
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    • 2005
  • The guaranteed cost control problem for a class of linear systems with norm-bounded time-varying parameter uncertainties and input constraints is considered. A sufficient condition for the existence of guaranteed cost state feedback controllers is derived via the linear matrix inequality (LMI) approach, and a design procedure to guaranteed cost controllers is given. Furthermore, a convex optimization problem is formulated to determine the optimal guaranteed cost controller. An example is given to illustrate the effectiveness of the proposed results.

Synchronization of a Complex Dynamical Network with Free Coupling Matrix (자유로운 연결 구조를 갖는 복잡 동적망의 동기화)

  • Lee, Tae-Hee;Park, Ju-H.;Kwon, Oh-Min;Lee, Sang-Moon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.8
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    • pp.1586-1591
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    • 2011
  • This paper considers synchronization problem of a complex dynamical network. For the problem, the virtual target node is chosen as one of nodes in the complex network and only one connection is needed between an isolate target node and virtual target node not any more connections. Moreover, our synchronization scheme does not need additional conditions and information of coupling matrix comparing with existing works. Based on Lyapunov stability theory, a design criterion for a novel adaptive feedback controller for the synchronization between the isolate target node and another nodes of the complex network is proposed. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

Controller Design of Buck-Boost Converter with Constant Voltage Output (정 전압 출력을 갖는 벅-부스트 컨버터의 제어기 설계)

  • Lee, Woo-Cheol
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.9
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    • pp.42-50
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    • 2015
  • The Buck-Boost converter consisted of two switches is more expensive than the conventional Buck converter, because of the increase of the components. However, it can control the DC voltage depending on the requested load voltage without additional circuits, because it can control the voltage under the relatively wide range of the load. Additionally, it can control the output voltage constantly under the variation of the input voltage. In the paper two control loops consisted of current and voltage control are designed. When two controllers are operated at the same time the problem of the output voltage is occurred. Therefore, the solution of the output voltage problem is proposed. Finally, the validity of the proposed scheme is investigated with simulated and experimental results for a prototype system rated at 1kVA.

A Study on Robust Identification Based on the Validation Evaluation of Model (모델의 타당성 평가에 기초한 로바스트 동정에 관한 연구)

  • Lee, D.C.
    • Journal of Power System Engineering
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    • v.4 no.3
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    • pp.72-80
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    • 2000
  • In order to design a stable robust controller, nominal model, and the upper bound about the uncertainty which is the error of the model are needed. The problem to estimate the nominal model of controlled system and the upper bound of uncertainty at the same time is called robust identification. When the nominal model of controlled system and the upper bound of uncertainty in relation to robust identification are given, the evaluation of the validity of the model and the upper bound makes it possible to distinguish whether there is a model which explains observation data including disturbance among the model set. This paper suggests a method to identity the uncertainty which removes disturbance and expounds observation data by giving a probable postulation and plural data set to disturbance. It also examines the suggested method through a numerical computation simulation and validates its effectiveness.

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Optimization of discrete event system in a temporal logic framework (시간논리구조에서 이산사건시스템의 최적화)

  • 황형수;오성권;정용만
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.812-815
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    • 1996
  • In this paper, we consider the optimal control problem based on Discrete Event Dynamic Systems(DEDS) in the Temporal Logic framework(TLF) which have studied for a convenient modeling technique. The TLF is enhanced with objective functions(event cost indices) and a measurement space is also defined. Our research goal is the design of the optimal controller for DEDSs. This procedure could be guided by the heuristic search methods. For the heuristic search, we suggested the Stochastic Ruler algorithm, instead of the A algorithm with difficulties as following; the uniqueness of solutions, the computational complexity and how to select a heuristic function. This SR algorithm is used for solving the optimal problem. An example is shown to illustrate our results.

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