• Title/Summary/Keyword: Lyapunov Method

Search Result 696, Processing Time 0.023 seconds

Observer-based H Fuzzy Controller Design of Interval Type-2 Takagi-Sugeno Fuzzy Systems Under Imperfect Premise Matching (불완전한 전반부 정합 하에서의 관측기 기반 구간 2형 T-S 퍼지 시스템의 H 퍼지 제어기 설계)

  • Hwang, Sounghwan;Park, Jin Bae;Joo, Young Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.66 no.11
    • /
    • pp.1620-1627
    • /
    • 2017
  • In this paper, we design an observer-based $H_{\infty}$ fuzzy controller for interval type-2 Takagi-Sugeno (T-S) fuzzy systems under imperfect premise matching. The designed observer-based controller can effectively estimate the state of the system and make fuzzy system satisfy the $H_{\infty}$ disturbance attenuation performance. Using the slack matrix, the derived stabilization condition is expressed in terms of a linear matrix inequality. Finally, the effectiveness of the proposed method is verified through a simulation example.

Parameter-dependent Robust Stability of Uncertain Singular Systems with Time-varying Delays (시변 시간지연을 가지는 불확실 특이시스템의 변수 종속 강인 안정성)

  • Kim, Jong-Hae
    • Journal of the Institute of Electronics Engineers of Korea SC
    • /
    • v.47 no.4
    • /
    • pp.1-6
    • /
    • 2010
  • In this paper, we present a new delay-dependent and parameter-dependent robust stability condition for uncertain singular systems with polytopic parameter uncertainties and time-varying delay. The robust stability criterions based on parameter-dependent Lyapunov function are expressed as LMI (linear matrix inequality). Moreover, the proposed robust stability condition is a general algorithm for both singular systems and non-singular systems. Finally, numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method.

Robust Fuzzy Load-Frequency Control of Nonlinear Power Systems Using Intelligent Digital Redesign Technique (지능형 디지털 재설계 기법을 이용한 비선형 전력 계통의 강인 퍼지 부하 주파수 제어)

  • 이남수;이연우;전상원;주영훈
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 2000.05a
    • /
    • pp.142-145
    • /
    • 2000
  • A new robust load-frequency control (LFC) methodology is proposed for nonlinear power systems with the valve position limits of the 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 the robust stability is presented in the sense of Lyapunov for the TS fuzzy model with parametric uncertainties. The intelligent digital redesign technique for the uncertain nonlinear power system is also studied. The effectiveness of the proposed robust fuzzy LFC controller design method is demonstrated through a numerical simulation.

  • PDF

On-line Parameter Estimator Based on Takagi-Sugeno Fuzzy Models

  • Park, Chang-Woo;Hyun, Chang-Ho;Park, Mignon
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.12 no.5
    • /
    • pp.481-486
    • /
    • 2002
  • In this paper, a new on-line parameter estimation methodology for the general continuous time Takagi-Sugeno(T-5) 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. Based on the derived design method, the parameter estimation for controllable canonical T-S fuzzy model is also Presented.

A Study on the Adaptive Roll Control Scheme for the Top Attack Smart Projectile (상부공격 지능탄의 회전각 적응제어 기법 연구)

  • 홍종태;정수경;최상경
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.3 no.2
    • /
    • pp.61-70
    • /
    • 2000
  • An Adaptive Positive Position Feedback method is presented for controlling the roll of the supersonic smart projectile. The proposed strategy combines the attractive attributes of Positive Position Feedback(PPF) of Goh and Caughey, and Lyapunov stability theorem. The parameters of Adaptive-PFF controller are adjusted in an adaptive mauler in order to follow the performance of an optimal reference model. In this way, optimal damping and zero steady-state errors can be achieved even in the presence of uncertain or changing plant parameters. The performance obtained with the Adaptive-PPF algorithm is compared with conventional PPF control algorithm. The results obtained emphasize the potential of Adaptive-PPF algorithm as an efficient means for controlling plants such as supersonic flight systems with uncertainties in real time.

  • PDF

Robust Stability for Discrete-time Polytopic Uncertain Delay Systems with Quantization/overflow Nonlinearities (양자화와 오버플로우 비선형성을 가지는 이산시간 폴리토픽 불확실 지연 시스템의 강인 안정성)

  • Kim, Jong-Hae
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.61 no.12
    • /
    • pp.1898-1902
    • /
    • 2012
  • In this paper, we consider the delay-dependent robust stability condition for polytopic uncertain systems with interval time-varying delay using various combinations of quantization and overflow nonlinearities. A robust stability condition for uncertain systems with time-varying delay and quantization/overflow nonlinearities is proposed by LMI(linear matrix inequality) and Lyapunov technique. It is shown that the proposed method is less conservative compared to the recent results by numerical examples.

Tracking Control of a Mobile Robot using Gain-scheduling Control Method (이득 조절 제어기법을 이용한 모바일 로봇의 경로 추종 제어)

  • Kwon, Hae-Yeong;Choi, Ho-Lim
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.62 no.3
    • /
    • pp.401-406
    • /
    • 2013
  • The mobile robot is one of the widely-used systems in service industry. We propose a gain-scheduling feedback controller for the tracking control of the mobile robot. The benefit of our proposed controller is that it avoids the singularity issue occurs with the controllers suggested in [4], [10]. Moreover, we show the stability analysis of the controlled system via a Lyapunov stability approach such that the exponential convergence of tracking error to zero is analytically provided. The simulation results show the validity of the proposed controller and improved control performance over the conventional controller.

Wide Speed Direct Torque and Flux Controlled IPM Synchronous Motor Drive Using a Combined Adaptive Sliding Mode Observer and HF Signal Injection

  • Foo, Gilbert;Rahman, M.F.
    • Journal of Power Electronics
    • /
    • v.9 no.4
    • /
    • pp.582-592
    • /
    • 2009
  • This paper proposes a new speed sensorless direct torque and flux controlled interior permanent magnet synchronous motor (IPMSM) drive. Closed-loop control of both the torque and stator flux linkage are achieved by using two proportional-integral (PI) controllers. The reference voltage vectors are generated by a SVM unit. The drive uses an adaptive sliding mode observer for joint stator flux and rotor speed estimation. Global asymptotic stability of the observer is achieved via Lyapunov analysis. At low speeds, the observer is combined with the high frequency signal injection technique for stable operation down to standstill. Hence, the sensorless drive is capable of exhibiting high dynamic and steady-state performances over a wide speed range. The operating range of the direct torque and flux controlled (DTFC) drive is extended into the high speed region by incorporating field weakening. Experimental results confirm the effectiveness of the proposed method.

Stable Input-Constrained Neural-Net Controller for Uncertain Nonlinear Systems

  • Jang-Hyun Park;Gwi-Tae Park
    • KIEE International Transaction on Systems and Control
    • /
    • v.2D no.2
    • /
    • pp.108-114
    • /
    • 2002
  • This paper describes the design of a robust adaptive controller for a nonlinear dynamical system with unknown nonlinearities. These unknown nonlinearities are approximated by multilayered neural networks (MNNs) whose parameters are adjusted on-line, according to some adaptive laws far controlling the output of the nonlinear system, to track a given trajectory. The main contribution of this paper is a method for considering input constraint with a rigorous stability proof. The Lyapunov synthesis approach is used to develop a state-feedback adaptive control algorithm based on the adaptive MNN model. An overall control system guarantees that the tracking error converges at about zero and that all signals involved are uniformly bounded even in the presence of input saturation. Theoretical results are illustrated through a simulation example.

  • PDF

Friction-Coefficient-Adaptive Slip Control of Torque Converter Bypass Clutch (토크컨버터 바이패스 클러치의 마찰계수 적응 슬립제어)

  • Hahn, Jin-Oh;Lee, Kyo-Il
    • Proceedings of the KSME Conference
    • /
    • 2004.04a
    • /
    • pp.739-744
    • /
    • 2004
  • This paper presents an adaptive approach to control the amount of slip of the torque converter bypass clutch using its estimated friction coefficient. The proposed approach can be readily implemented using the inexpensive speed sensors currently installed in an automobile. A measurement feedback control law to drive the slip error to zero together with an adaptation law to identify the unknown friction coefficient is developed using the Lyapunov control design method. The robustness of the control and adaptation laws to parametric and/or torque uncertainties as well as the convergence of the friction coefficient are investigated. Simulation results verify the viability of the proposed control algorithm in real-world vehicle control applications.

  • PDF