• Title/Summary/Keyword: robustness analysis of the stability

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Feedback control of intelligent structures with uncertainties and its robustness analysis

  • Cao, Zongjie;Wen, Bangchun;Kuang, Zhenbang
    • Structural Engineering and Mechanics
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    • v.16 no.3
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    • pp.327-340
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    • 2003
  • Variations in system parameters due to uncertainties of parameters may result in system performance deterioration and create system internal stability problems. Uncertainties in structural modeling of structures are often considered to ensure that the control system is robust with respect to response errors. So the uncertain concept plays an important role in the analysis and design of the engineering structures. In this paper, the active control of the intelligent structures with the uncertainties is studied and a new method for analyzing the robustness of systems with the uncertainties is presented. Firstly, the system with uncertain parameters is considered as the perturbation of the system with deterministic parameters. Secondly, the feedback control law is designed on the basis of deterministic system. Thirdly, perturbation analysis and robustness analysis of intelligent structures with uncertainties are discussed when the feedback control law is applied to the original system and perturbed system. Combining the convex model of uncertainties with the finite element method, the analysis theory of the robustness of intelligent structures with the uncertainties can be developed. The description and computation of the robustness of intelligent structures with uncertain parameters is obtained. Finally, a numerical example of the application of the present method is given to show the validity of the method.

Controller Design and Stability Analysis of Affine System with Dead-Time (불감시간을 갖는 Affine 시스템의 안정도 해석과 제어기 설계)

  • Yang Hai-Won;Byun Hwang-Woo
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.2
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    • pp.93-102
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    • 2005
  • The Nyquist robust stability margin is proposed as a measure of robust stability for systems with Affine TFM(Transfer Function Matrix) parametric uncertainty. The parametric uncertainty is modeled through a Affine TFM MIMO (Multi-Input Multi-Output) description with dead-time, and the unstructured uncertainty through a bounded perturbation of Affine polynomials. Gershgorin's theorem and concepts of diagonal dominance and GB(Gershgorin Bands) are extended to include model uncertainty. Multiloop PI/PID controllers can be tuned by using a modified version of the Ziegler-Nichols (ZN) relations. Consequently, this paper provides sufficient conditions for the robustness of Affine TFM MIMO uncertain systems with dead-time based on Rosenbrock's DNA. Simulation examples show the performance and efficiency of the proposed multiloop design method for Affine uncertain systems with dead-time.

Disturbance Observer based PID Controller for robustness enhancement of UAVs under the presence of wind disturbance (무인항공기의 내풍성 강화를 위한 제어기의 외란관측기 연구)

  • Oh, Seungjo;Lee, Dongjin
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.26 no.2
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    • pp.61-67
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    • 2018
  • This paper presents a method to apply disturbance observer to PID controller for robustness enhancement of UAVs. The system uncertainties and disturbances bring adverse effects on performance and stability of UAVs. In this paper, we estimate the acceleration disturbances using nonlinear disturbance observer, then compensate disturbances with composite controller. By employing nonlinear disturbance observer and composite controller, we have better performance and robustness than conventional PID controller. The asymptotical stability of nonlinear disturbance observer is presented through theoretical analysis. The estimation performance of nonlinear disturbance observer is evaluated by numerical simulation. And performance of disturbance observer based PID controller is evaluated by comparing the performance with conventional PID controller.

Foreign Capital Flows, Banking Stability and the Role of International Trade Cooperation and Distribution an Empirical Analysis from the ASEAN Region

  • LU, Chi Huu;LUONG, Thuy Thi Thu
    • Journal of Distribution Science
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    • v.20 no.7
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    • pp.23-33
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    • 2022
  • Purpose: Although foreign capital flows have played a vital role in fostering the economic growth in recipient countries, there are some concerns about the adverse impact of international capital flows on the banking stability. Hence, the study revisits this issue to explore the relationship between the different types of foreign investments and banking stability in ASEAN region. Research design, data and methodology: Based on the bank-level data of 96 commercial banks and country-level in six ASEAN countries from 2008 to 2019, we perform the multivariate regression analysis and provide a variety of robustness tests. Results: Our empirical evidence shows the volatility of foreign portfolio investments has significantly negative effect on the banking stability, besides that of foreign other investments has the similar influence but the result is relatively less pronounced in some robustness tests. Additionally, increasing trade cooperation and international distribution may lead countries to face higher risk of banking instability driven from these international investments. Meanwhile, the impact of foreign direct investments is positive, but the evidence is the least obvious. Conclusions: Our findings suggest policy-makers in ASEAN and emerging nations as a whole should carefully consider when building policies-related to mitigate the adverse impact of foreign capital flows.

$H_{\infty}$ Robust Yaw-Moment Control Based on Brake Switching for the Enhancement of Vehicle Performance and Stability (차량 성능 및 안정성 향상을 위한 $H_{\infty}$ 요 모멘트 강인제어)

  • Ahn, Woo-Sung;Park, Jong-Hyeon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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    • pp.1899-1909
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    • 2000
  • This paper proposes a new $H_{\infty}$ yaw moment control scheme using brake torque switching for improving vehicle performance and stability especially in high speed driving. In the scheme, one wheel is selected, depending on the vehicle states, at which a brake torque for control is applied. Steering angles are modeled as a disturbance to the system and the $H_{\infty}$ controller is designed to minimize the difference between the performance of the vehicle and that of the desired model. Its performance robustness as well as stability robustness to system parameter variations is assured through ${\mu}$-analysis. Various simulations with a nonlinear 8-DOF vehicle model show that proposed controller enhances the vehicle performance and stability under disturbances and parameter variations as well as under the normal driving condition.

A Study on the Robust Controller in Independent Modal space for Parameter Errors (파라메타 오차에 강인한 독립모달공간 제어기법에 대한 연구)

  • 황재혁;김준수;박대성;박명호
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.595-605
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    • 1996
  • If the control force designed on the basis of the mathematical model with parameter errors is applied to control the actual system, the closed-loop performance of the actual system will be degraded depending on the degree of the errors, In this study, the effect of parameter errors on the robustness of several natural controls has been analyzed and compared. Every asymptoic stability condition for the natural controls has been derived using Lyapunov approach, and the characteristics of the stability conditions has also been compared. The extent of deviation of the closed-loop performance from the designed one for the natural controls is derived using operator techniques, and evaluated by numerical method. It has been found that the optimal control, acceleration feedback control, and acceleration-position feedback control among the considered natural controls would be robust one with respect to the parameter errors.

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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.

A FORCE/POSITION CONTROL FOR TWO-ARM MOTION COORDINATION AND STABILITY ROBUSTNESS ANALYSIS

  • 최형식
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1992.10a
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    • pp.215-219
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    • 1992
  • This paper presents a motion coordination of two robot manipulators coordinating an object. To coordinate the object, a force/position control scheme in a mode of leaer/follower is devised. The dynamics of the object are incorporated into the dynamics of the leader arm, which yields a reduced order model of two arm system. In order to regulate interaction forces between two arm, the dynamics of the follower arm are expressed as force dynamic equations such that a novel direct forces between two arms and two different type of bounded input disturbances, boundedness and asymptotic stability results based on a proposed Lyapunov function are shown. Also, a sufficient condition for a stability robustness is derived based on the Lyapunov approach.

Critical Short Circuit Ratio Analysis on DFIG Wind Farm with Vector Power Control and Synchronized Control

  • Hong, Min;Xin, Huanhai;Liu, Weidong;Xu, Qian;Zheng, Taiying;Gan, Deqiang
    • Journal of Electrical Engineering and Technology
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    • v.11 no.2
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    • pp.320-328
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    • 2016
  • The introduction of renewable energy sources into the AC grid can change and weaken the strength of the grid, which will in turn affect the stability and robustness of the doubly-fed induction generator (DFIG) wind farm. When integrated with weak grids, the DFIG wind turbine with vector power control often suffers from poor performance and robustness, while the DFIG wind turbine with synchronized control provides better stability. This paper investigates the critical short circuit ratios of DFIG wind turbine with vector power control and synchronized control, to analyze the stability boundary of the DFIG wind turbine. Frequency domain methods based on sensitivity and complementary sensitivity of transfer matrix are used to investigate the stability boundary conditions. The critical capacity of DFIG wind farm with conventional vector power control at a certain point of common coupling (PCC) is obtained and is further increased by employing synchronized control properly. The stability boundary is validated by electromagnetic transient simulation of an offshore wind farm connected to a real regional grid.

IMC-PID Controller Tuning using Loop Shaping Method (루프 형성 기법을 이용한 IMC-PID 제어기 동조)

  • Kim, Chang-Hyun;Lim, Dong-Kyun;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.95-97
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    • 2004
  • This paper proposed new IMC-PID controller design method that use loop shaping method. It could consider such design specifications as gain margin, phase margin, sensitivity function etc by appling the loop shaping method for tuning IMC-PID controller whose structure has only one design parameter and guarantees internal stability. To shape desirable loop gain, the relation between these design specification and parameter is derived by mathematical basis. And the availability of proposed in this paper tuning method that can regard design specifications is checked through example comparison and analysis.

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