• Title/Summary/Keyword: Lyapunov-based control

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Stabilization for Markovian Jump Nonlinear Systems with Time-Delay via T-S Fuzzy Control (시간 지연을 가지는 비선형 마르코비안 점프 시스템의 퍼지 제어)

  • Song, Min-Kook;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2008.10b
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    • pp.235-236
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    • 2008
  • This paper is concerned with the stabilization problem of Markovian jump nonlinear systems with time-delay via Takagi-Sugeno (T-S) fuzzy control approach. The T-S fuzzy models are employed to represent nonlinear systems with Markovian jump parameters and time-delay. The purpose of this paper is to design a mode-independent fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. Based on a stochstic Lyapunov function, stabilization sufficient conditions using a mode-independent fuzzy controller are derived for the Markovian jump fuzzy system in terms of Linear Matrix Inequalities (LMIs). Finally, a simulation example is presented to illustrate the effectiveness of the proposed method.

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Joint Scheduling and Flow Control for Multi-hop Cognitive Radio Network with Spectrum Underlay

  • Quang, Nguyen Tran;Dang, Duc Ngoc Minh;Hong, Choong-Seon
    • Proceedings of the Korean Information Science Society Conference
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    • 2012.06d
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    • pp.297-299
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    • 2012
  • In this paper, we introduce a joint flow control and scheduling algorithm for multi-hop cognitive radio networks with spectrum underlay. Our proposed algorithm maximizes the total utility of secondary users while stabilizing the cognitive radio network and still satisfies the total interference from secondary users to primary network is less than an accepted level. Based on Lyapunov optimization technique, we show that our scheme is arbitrarily close to the optimal.

Robust Digital Fuzzy Controller Design for Load-Frequency Control of Nonlinear Power System (비선형 전력계통 시스템의 부하주파수 제어를 위한 강인한 디지탈 퍼지 제어기의 설계)

  • Jeon, Sang-Won;Joo, Young-Hoon;Lee, Ho-Jae;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.110-112
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    • 2000
  • A new robust digital fuzzy controller design methodology is proposed for load frequency of nonlinear power system with valve position limits of governor in the presence of parametric uncertainties. The Takagi-Sugeno (TS) fuzzy model is adopted for fuzzy modeling of the nonlinear power system. A sufficient condition of robust stability for robust fuzzy control with parametric uncertainties is presented in the sense of Lyapunov. The controller that designed by preposed robust fuzzy controller design method is based compounding condition between continues system and discrete system. The effectiveness of controller that designed by the proposed robust fuzzy controller design method is demonstrated through simulation example.

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The design of neural network adaptive control system (신경회로망 적응제어시스템의 설계)

  • 김용택;김용호;이홍기;전홍태
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.150-155
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    • 1993
  • The neural network MRAC system is presented. The purpose of this paper is applied to a plant that is to be controlled in a strongly nonlinear environment. The proposed system has a learning and adaptive ability in the varying environment by using the back-propagation learning algorithm based on Lyapunov stability theory. N.N. regulator is a part of overall system and is guaranteed to be stable in initial stage. Nonlinear terms of the varying mass, colilori, centifugal, and gravity are compensated for by feedforward N.N. regulator. And the feedback controller (adaptive mechanism) works to eliminate errors of position, velocity which the feedforward controller cannot compensate for. Finally, the proposed system will be demonstrated by simulation of a two d.o.f robot manipulator.

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The Speed and Position Sensorless Control of PMSM using the Sliding Mode Observer (슬라이딩 모드 관측기를 이용한 영구자석 동기전동기 위치 및 속도 센서리스 제어)

  • Han, Yoon-Seok;Choi, Jung-Soo;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 1999.07f
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    • pp.2540-2542
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    • 1999
  • This paper presents a new speed and position sensorless control method of permanent magnet synchronous motors based on the sliding mode observer. The sliding mode observer structure and its design method are described. Also, Lyapunov functions are chosen for determining the adaptive law for the speed and the stator resistance estimator. The effectiveness of the proposed observer is confirmed by the experimental results.

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Delay-dependent Guaranteed Cost Control for Uncertain Time Delay System

  • Lee, In-Beum;Choi, Jin-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.62.4-62
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    • 2001
  • In this paper, we propose a delay-dependent guaranteed cost controller design method for uncertain linear systems with time delay. The uncertainty is norm bounded and time-varying. A quadratic cost function is considered as the performance measure for the given system. Based on the Lyapunov method, sufficient condition, which guarantees that the closed-loop system is asymptotically stable and the upper bound value of the closed-loop cost function is not more than a specied one, is derived in terms of Linear Matrix Inequalities(LMIs) that can be solved sufficiently. A convex optimization problem can be formulated to design a guaranteed cost controller, which minimizes the upper bound value of the cost function. Numerical examples show the activeness of the proposed method.

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On Convergence and Parameter Selection of an Improved Particle Swarm Optimization

  • Chen, Xin;Li, Yangmin
    • International Journal of Control, Automation, and Systems
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    • v.6 no.4
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    • pp.559-570
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    • 2008
  • This paper proposes an improved particle swarm optimization named PSO with Controllable Random Exploration Velocity (PSO-CREV) behaving an additional exploration behavior. Different from other improvements on PSO, the updating principle of PSO-CREV is constructed in terms of stochastic approximation diagram. Hence a stochastic velocity independent on cognitive and social components of PSO can be added to the updating principle, so that particles have strong exploration ability than those of conventional PSO. The conditions and main behaviors of PSO-CREV are described. Two properties in terms of "divergence before convergence" and "controllable exploration behavior" are presented, which promote the performance of PSO-CREV. An experimental method based on a complex test function is proposed by which the proper parameters of PSO-CREV used in practice are figured out, which guarantees the high exploration ability, as well as the convergence rate is concerned. The benchmarks and applications on FCRNN training verify the improvements brought by PSO-CREV.

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
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    • v.11 no.4
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    • pp.271-278
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    • 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.

H State Estimation of Static Delayed Neural Networks with Non-fragile Sampled-data Control (비결함 샘플 데이타 제어를 가지는 정적 지연 뉴럴 네트웍의 강인 상태추정)

  • Liu, Yajuan;Lee, Sangmoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.1
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    • pp.171-178
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    • 2017
  • This paper studies the state estimation problem for static neural networks with time-varying delay. Unlike other studies, the controller scheme, which involves time-varying sampling and uncertainties, is first employed to design the state estimator for delayed static neural networks. Based on Lyapunov functional approach and linear matrix inequality technique, the non-fragile sampled-data estimator is designed such that the resulting estimation error system is globally asymptotically stable with $H_{\infty}$ performance. Finally, the effectiveness of the developed results is demonstrated by a numerical example.

Adaptive Parameter Estimator Design for Takagi-Sugeno Fuzzy Models

  • Park, Chang-Woo;Lee, Chang-Hoon;Park, Mignon;Kim, Seungho
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.40.5-40
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    • 2001
  • In this paper, a new on-line parameter estimation methodology for the general continuous time Takagi-Sugeno(T-S) fuzzy model whose parameters are poorly known or uncertain is presented. An estimator with an appropriate adaptive law for updating the parameters is designed and analyzed based on the Lyapunov theory. The adaptive law is designed so that the estimation model follows the plant parameterized model. By the proposed estimator, the parameters of the T-S fuzzy model can be estimated by observing the behavior of the system and it can be a basis for the indirect adaptive fuzzy control.

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