• 제목/요약/키워드: Stability and Control

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Robust D-Stability and D-Stabilization of Dynamic Interval Systems

  • Mao, Wei-Jie;Chu, Jian
    • International Journal of Control, Automation, and Systems
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    • 제5권5호
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    • pp.594-600
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    • 2007
  • A sufficient condition for the robust D-stability of dynamic interval systems is proposed in this paper. This D-stability condition is based on a parameter-dependent Lyapunov function obtained from the feasibility of a set of matrix inequalities defined at a series of partial-vertex-based interval matrices other than the total vertex matrices as previous results. This condition is also extended to the robust D-stabilization problem of dynamic interval systems, which supplies an effective synthesis procedure for any LMI D-region. The proposed conditions can be simplified to a set of LMIs, which can be solved by efficient interior point methods in polynomial time.

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

  • 박흠용;조영훈;박강박
    • 제어로봇시스템학회논문지
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    • 제17권2호
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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.

선회 조향시 강건 제어에 의한 롤 안정성 개선 (Improving the Roll Stability of a Vehicle by H$_{\infty}$ Control)

  • 김효준;양현석;박영필
    • 한국자동차공학회논문집
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    • 제9권3호
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    • pp.92-99
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    • 2001
  • This paper presents a simulation study using a robust controller to improve the roll stability of a vehicle. The controller is designed in the framework of an output feedback H$_{\infty}$ control scheme based on the 3DOF linear vehicle model, solving the mixed-sensitivity problem to guarantee the robust stability and disturbance rejection with respect to parameter variations due to laden and running vehicle conditions. In order to investigate the feasibility of the active roll control system in a real car, its performance is evaluated by simulation in a 10DOF full vehicle model with actuator dynamics and tire characteristics.

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동적마찰 섭동을 갖는 자율이동 로봇 시스템의 강인적응제어 및 안정성 해석 (Robust Adaptive Control of Autonomous Robot Systems with Dynamic Friction Perturbation and Its Stability Analysis)

  • 조현철;이권순
    • 제어로봇시스템학회논문지
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    • 제15권1호
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    • pp.72-81
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    • 2009
  • This paper presents a robust adaptive control method using model reference control strategy against autonomous robot systems with random friction nature. We approximate a nonlinear robot system model by means of a feedback linearization approach to derive nominal control law. We construct a Least Square (LS) based observer to estimate friction dynamics online and then represent a perturbed system model with respect to approximation error between an actual friction and its estimation. Model reference based control design is achieved to implement an auxiliary control in order for reducing control error in practice due to system perturbation. Additionally, we conduct theoretical study to demonstrate stability of the perturbed system model through Lyapunov theory. Numerical simulation is carried out for evaluating the proposed control methodology and demonstrating its superiority by comparing it to a traditional nominal control method.

자세 제어 장치와 능동 후륜 조향을 이용한 통합 섀시 제어 (Integrated Chassis Control with Electronic Stability Control and Active Rear Steering)

  • 임성진
    • 대한기계학회논문집A
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    • 제38권11호
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    • pp.1291-1297
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    • 2014
  • 본 논문에서는 자세 제어 장치와 능동 후륜 조향을 이용한 통합 섀시 제어를 제안한다. 제어에 필요한 요 모멘트를 만들어 내기 위해 직접 요 모멘트 제어 방법을 이용한다. 가중 역행렬 기반 제어할당 방법을 이용하여 제어 요 모멘트를 자세 제어 장치의 제동력과 능동 후륜 조향의 조향각으로 분배한다. 가중 역행렬 기반 제어 할당 방법에 가변 가중치를 도입하여 다양한 구동기 조합을 표현하고 차량의 속도를 높이기 위해 시뮬레이션을 이용하여 가변 가중치를 최적화한다. 차량 시뮬레이션 패키지인 CarSim 에서 시뮬레이션을 수행하여 제안된 방법이 차량의 조종안정성과 횡방향 안정성을 향상시킨다는 사실을 검증한다.

Side Slip Angle Based Control Threshold of Vehicle Stability Control System

  • Chung Taeyoung;Yi Kyongsu
    • Journal of Mechanical Science and Technology
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    • 제19권4호
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    • pp.985-992
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    • 2005
  • Vehicle Stability Control (VSC) system prevents vehicle from spinning or drifting out mainly by braking intervention. Although a control threshold of conventional VSC is designed by vehicle characteristics and centered on average drivers, it can be a redundancy to expert drivers in critical driving conditions. In this study, a manual adaptation of VSC is investigated by changing the control threshold. A control threshold can be determined by phase plane analysis of side slip angle and angular velocity which is established with various vehicle speeds and steering angles. Since vehicle side slip angle is impossible to be obtained by commercially available sensors, a side slip angle is designed and evaluated with test results. By using the estimated value, phase plane analysis is applied to determine control threshold. To evaluate an effect of control threshold, we applied a 23-DOF vehicle nonlinear model with a vehicle planar motion model based sliding controller. Controller gains are tuned as the control threshold changed. A VSC with various control thresholds makes VSC more flexible with respect to individual driver characteristics.

Uniform ultimate boundedness of control systems with matched and mismatched uncertainties by Lyapunov-like method

  • Sung, Yulwan;Shibata, Hiroshi;Park, Chang-Young;Kwo, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 Proceedings of the Korea Automatic Control Conference, 11th (KACC); Pohang, Korea; 24-26 Oct. 1996
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    • pp.119-122
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    • 1996
  • The recently proposed control method using a Lyapunov-like function can give global asymptotic stability to a system with mismatched uncertainties if the uncertainties are bounded by a known function and the uncontrolled system is locally and asymptotically stable. In this paper, we modify the method so that it can be applied to a system not satisfying the latter condition without deteriorating qualitative performance. The assured stability in this case is uniform ultimate boundedness which is as useful as global asymptotic stability in the sense that it is global and the bound can be taken arbitrarily small. By the proposed control law we can deal with both matched and mismatched uncertain systems. The above facts conclude that Lyapunov-like control method is superior to any other Lyapunov direct methods in its applicability to uncertain systems.

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Direct Gradient Descent Control and Sontag's Formula on Asymptotic Stability of General Nonlinear Control System

  • Naiborhu J.;Nababan S. M.;Saragih R.;Pranoto I.
    • International Journal of Control, Automation, and Systems
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    • 제3권2호
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    • pp.244-251
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    • 2005
  • In this paper, we study the problem of stabilizing a general nonlinear control system by means of gradient descent control method which is a dynamic feedback control law. In this method, the general nonlinear control system can be considered as an affine nonlinear control systems. Then by using Sontag's formula we investigate the stability (asymptotic) of the general nonlinear control system.

Research and Stability Analysis of Active-Disturbance-Rejection-Control-Based Microgrid Controllers

  • Xu, Xiaoning;Zhou, Xuesong;Ma, Youjie;Liu, Yiqi
    • Journal of Power Electronics
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    • 제17권6호
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    • pp.1611-1624
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    • 2017
  • With the rapid development of microgrid technology, microgrid projects are no longer limited to laboratory demonstrations and pilot platforms. It shows greater value in practical applications. Hence, the smooth interaction between a microgrid and the main grid plays a critical role. In this paper, a control method based on active disturbance rejection control (ADRC) is proposed in order to realize seamless transitions between grid-connected and islanding operation modes and stable operation with variable loads. It is verified by simulations that the proposed ADRC-based method features better performance when compared to conventional proportional-integral-differential (PID) control. Meanwhile, the stability of the third-order extended state observer (ESO) in second-order ADRC is validated by using Lyapunov stability criteria.

비행제어법칙 설계 및 해석 절차에 관한 연구 (A Study on the Control Law Design and Analysis Process)

  • 황병문;조인제;김종섭
    • 제어로봇시스템학회논문지
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    • 제11권11호
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    • pp.913-919
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    • 2005
  • An advanced method of Relaxed Static Stability (RSS) is utilized for improving the aerodynamic performance of modem version supersonic jet fighter aircraft. The flight control system utilizes RSS criteria in both longitudinal and lateral-directional axes to achieve performance enhancements and improve stability. Standard CLDA (Control Law Design and Analysis) process is provided that reduce the development period of the flight control system. In addition, if this process is employed in developing flight control laws, it reduces the trial and error development and verification of control laws. This paper details the design process of developing a flight control law for the RSS aircraft, utilizing military specifications, linear and nonlinea, analysis using XMATH and ATLAS(Aircraft, Tim Linear and Simulation), handling quality tests using the HQS (Handling Quality Simulator), and real flight test results to verify aircraft dynamic flight responses.