• Title/Summary/Keyword: Stability and Control

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Robust Stability Condition and Analysis on Steady-State Tracking Errors of Repetitive Control Systems

  • Doh, Tae-Yong;Ryoo, Jung-Rae
    • International Journal of Control, Automation, and Systems
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    • v.6 no.6
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    • pp.960-967
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    • 2008
  • This paper shows that design of a robustly stable repetitive control system is equivalent to that of a feedback control system for an uncertain linear time-invariant system satisfying the well-known robust performance condition. Once a feedback controller is designed to satisfy the robust performance condition, the feedback controller and the repetitive controller using the performance weighting function robustly stabilizes the repetitive control system. It is also shown that we can obtain a steady-state tracking error described in a simple form without time-delay element if the robust stability condition is satisfied for the repetitive control system. Moreover, using this result, a sufficient condition is provided, which ensures that the least upper bound of the steady-state tracking error generated by the repetitive control system is less than or equal to the least upper bound of the steady-state tracking error only by the feedback system.

Design of Vehicle Stability Control Algorithm Based on 3-DOF Vehicle Model (3자유도 차량모델 기반 차량 안정성 제어 알고리듬 설계)

  • Chung Taeyoung;Yi Kyongsu
    • Transactions of the Korean Society of Automotive Engineers
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    • v.13 no.1
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    • pp.83-89
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    • 2005
  • This paper presents vehicle stability control algorithm based on 3-DOF vehicle model. The brake control inputs have been directly derived from the sliding control law based on a three degree of freedom plane vehicle model with differential braking. The simulation has performed using a full nonlinear 3-dimensional vehicle model and the performance of the controller has been compared to that of a direct yaw moment controller. Simulation results show that the proposed controller can provide a vehicle with better performance than conventional controller with respect to brake actuation without compromising stability at critical driving conditions.

Landing with Visual Control Reveals Limb Control for Intrinsic Stability

  • Lee, Aeri;Hyun, Seunghyun;Ryew, Checheong
    • International Journal of Internet, Broadcasting and Communication
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    • v.12 no.3
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    • pp.226-232
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    • 2020
  • Repetition of landing with visual control in sports and training is common, yet it remains unknown how landing with visual control affects postural stability and lower limb kinetics. The purpose of this study was to test the hypothesis that landing with visual control will influence on lower limb control for intrinsic dynamic postural stability. Kinematics and kinetics variables were recorded automatically when all participants (n=10, mean age: 22.00±1.63 years, mean heights: 177.27±5.45 cm, mean mass: 73.36±2.80 kg) performed drop landings from 30 cm platform. Visual control showed higher medial-lateral force, peak vertical force, loading rate than visual information condition. This was resulted from more stiff leg and less time to peak vertical force in visual control condition. Leg stiffness may decrease due to increase of perturbation of vertical center of gravity, but landing strategy that decreases impulse force was shifted in visual control condition during drop landing. These mechanism explains why rate of injury increase.

Control Strategy Development of 4WD Vehicles based on Heuristic Approach and Dynamic Characteristic (경험적 접근법과 동역학적 특성에 기반한 4WD 차량의 제어 전략 개발)

  • Ham, Hyeongjin;Lee, Hyeongcheol
    • Transactions of the Korean Society of Automotive Engineers
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    • v.21 no.6
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    • pp.209-217
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    • 2013
  • This paper presents a control strategy of 4 wheel drive (4WD) vehicles. Proposed control strategy has simple structure and can easily apply to various vehicles with low cost and time. It is consist of feedforward control for traction ability, fedback control for minimizing the wheel speed difference and yaw control for lateral stability. In addition, to integrate the traction and stability control, a blending function is applied. To evaluate the feasibility of the proposed control strategy, actual vehicle experiment is conducted after deciding the tuning parameter through the simulation. The simulation is accomplished by CarSim and Matlab/Simulink and the actual vehicle test is conducted using full size Sports Utility Vehicle (SUV) equipped rear wheel based solenoid type 4WD device.

A study on relearning program of deep stabilizing muscle for low back pain (요통에 적용된 심부 안정근 재교육 프로그램에 관한 연구)

  • Koo, Hee-Seo;Kim, Soon-Ja
    • The Journal of Korean Physical Therapy
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    • v.16 no.4
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    • pp.11-22
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    • 2004
  • The concept of segmental stabilization has been one of the most exciting advancements in the field of physical therapy. Specific deep stabilizing muscle have proven to reverse motor control deficits that occurs after back injury. After an injury, a new motor programming strategy is adopted and there is excessive recruitment of the large , strong , global muscular system works instead of small segmental deep muscle recruitment for stability. Many physical therapists and doctors mistakenly prescribe therapeutic exercise for low back pain to use larger, superficial musculature to strengthen the spine for stability and pain control. But motor control coordination of local segmental muscle is actually the key to stability and pain control, not strengthening of global muscle. A recent focus in physiotherapy management of patients with chronic back pain has been the specific training of muscles surrounding the lumbar spine whose primary role is considered to be the provision of dynamic stability and segmental control to the spine. These are the deep transverse abdominis muscle and lumbar multifudus.

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$H_{\infty}$ 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 New Approach to Stability Analysis of Singleton-type Fuzzy Control Systems (싱글톤 퍼지 제어 시스템의 새로운 안정도 해석법)

  • 김은태;이희진;이상형;박민용
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.788-791
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    • 1999
  • In recent years, many studies have been conducted on fuzzy control since it can surpass the conventional control in several respects. In this paper, numerical stability analysis methodology for the singleton-type linguistic fuzzy control systems is proposed. The Proposed stability analysis is not the analytical method but the numerical method using the convex optimization technique of Quadratic Programming (QP) and Linear Matrix Inequalities (LMI).

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Stability Margin of Discrete-Time LQR with Cross-Product Term in Performance Index (가격함수에 교차곱항이 포함된 이산시간 LQR의 안정성 여유)

  • 최재원;황태현
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.10
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    • pp.856-860
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    • 2002
  • The guaranteed stability margin of LQ optimal regulators with cross-product terms in a performance index is derived for the discrete-time case. In order to obtain the guaranteed stability margin, the singular value of the return difference matrix is examined. A numerical simulation is provided to demonstrate the validity of the derived stability margin.

Visual Servo Control of Slender Manipulators Using an Approximate Jacobian Operator (근사 자코비안 연산자를 이용한 경량 매니퓰레이터의 시각 서보 제어)

  • Lee, Ho-Gil;Kim, Jin-Young
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.12
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    • pp.1086-1092
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    • 2000
  • To realize a visual servo control of slender manipulators, two problems to be solved are analysed. The stability problem on so-called noncolocation control and the infinite order problem of the real Jacobian matrix caused by the elastic deformation are discussed. By considering the dynamic relations between rigid and elastic modes, a Jacobian operator is derived and the physical meaning is also explained. Then, for practical control, a simple control scheme using an approximate Jacobian is proposed and its stable conditions are proven by means of the $L_$2$ stability theory. The scheme is structurally similar to the conventional PD control laws, but external sensors(e. g. visual sensor) are used for positioning and internal sensors for damping. A good performance is obtained via control experiments of a slender two link manipulator.

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Optimization of Transient Stability Control Part-I: For Cases with Identical Unstable Modes

  • Xue Yusheng;Li Wei;Hill David John
    • International Journal of Control, Automation, and Systems
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    • v.3 no.spc2
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    • pp.334-340
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    • 2005
  • Based on the stability margin provided by the EEAC, the unstable contingencies can be classified into sets according to their unstable modes. This two-part paper develops a globally optimal algorithm for transient stability control to coordinate preventive actions and emergency actions. In the first part, an algorithm is proposed for a set of contingencies having identical unstable modes. Instead of iterations between discrete emergency actions and continuous preventive actions, the algorithm straightforwardly searches for a globally optimal solution. The procedure includes assessing a set of insufficient emergency schemes identified by the EEAC; calculating the related preventive actions needed for stabilizing the system; and selecting the scheme with the minimum overall costs. Simulations on a Chinese power system highlight its excellent performance. The positive results obtained are explained by analogizing settlements for 0-1 knapsack problems using the multi-points greedy algorithm.