• Title/Summary/Keyword: Control Stability

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STABILITY OF IMPULSIVE CONTROL SYSTEMS WITH VARIABLE TIMES

  • Zhao, Haiqing;Feng, Enmin
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.345-352
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    • 2007
  • In this paper, cone-valued Lyapunov functions are employed to study the impulsive control system with variable times. The stability criteria on the non-zero solution of the impulsive control system are given by the cone-valued Lyapunov functions and the results of the controllability on the control system are also obtained.

Multirate Digital Control for Fuzzy Systems: LMI-Based Design and Stability Analysis

  • Kim Do-Wan;Park Jin-Bae;Joo Young-Hoon;Kim Sung-Ho
    • International Journal of Control, Automation, and Systems
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    • v.4 no.4
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    • pp.506-515
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    • 2006
  • This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi-Sugeno (T-S) fuzzy models. The main features of the proposed method are that i) it is provided that the sufficient conditions for stabilization of the discrete-time T-S fuzzy system in the sense of Lyapunov stability criterion, which is can be formulated in the linear matrix inequalities (LMIs); and ii) the stability properties of the trivial solution of the digital control system can be deduced from that of the solution of its discretized versions. An example is provided for showing the feasibility of the proposed method.

A Study for Controllability, Stability by Optimal Control of Load and Angular Velocity of Flying Objects using the Spiral Predictive Model(SPM) (나선 예측 모델에서의 비행체 하중수 및 각속도 최적 제어에 의한 제어성과 안정성 성능에 관한 연구)

  • Wang, Hyun-Min
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.3
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    • pp.268-272
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    • 2007
  • These days many scientists make studies of feedback control system for stability on non-linear state and for the maneuver of flying objects. These feedback control systems have to satisfy trajectory condition and angular conditions, that is to say, controllability and stability simultaneously to achieve mission. In this paper, a design methods using model based control system which consists of spiral predictive model, Q-function included into generalized-work function is shown. It is made a clear that the proposed algorithm using SPM maneuvers for controllability and stability at the same time is successful in attaining our purpose. The feature of the proposed algorithm is illustrated by simulation results. As a conclusion, the proposed algorithm is useful for the control of moving objects.

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.

Design of Control Logics for Improving Vehicle Dynamic Stability (차량 안정성 향상을 위한 제어기 설계)

  • 허승진;박기홍;이경수;나혁민;백인호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.5
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    • pp.165-172
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    • 2000
  • The VDC(Vehicle Dynamic Control) is a control system whose target is to improve stability of a vehicle under lateral motion. A lateral vehicle motion, especially on a slippery road, can lead to a hazardous situation, and the situation can even worsen by the driver`s inappropriate response. In this paper, two VDC systems, a fuzzy-based controller and an LQR-based controller have been developed. The controllers take as input the yaw rate and the sideslip angle of either body or rear wheel, and they yield the direct yaw moment signal by which the vehicle can gain stability during cornering. Simulations have been conducted to evaluate the performance of the control system. The results indicated that the controllers can successfully improve vehicle stability under potentially dangerous driving conditions.

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A Study on the Stability Analysis of Networked Control System (Networked Control System의 안정도 분석에 관한 연구)

  • Jung, Joon-Hong;Choi, Soo-Young;Lee, Jong-Sung;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2231-2233
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    • 2002
  • Recently NCS(Networked Control System) is widely used in distributed control system design. The insertion of the network in the feedback control loop makes the analysis and design of NCS complex. Especially, the network-induced delay can vary the system stability and even destabilizes the entire control system. This paper deals with the stability analysis method of NCS. Also, we analyze the influence of sampling period and network-induced delay on power plant stability.

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Stability Analysis of Single-input Fuzzy Logic Controller (단일 입력 퍼지논리제어기의 안정성 분석)

  • 최병재
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.05a
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    • pp.47-51
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    • 2001
  • According as the controlled plants become more complex and large-scaled, the development of more intelligent control schemes is required in the control field. A fuzzy logic control (FLC) is one of proper schemes for this tendency. Recently, fuzzy control has been applied successfully to many industrial applications due to a number of advantages. But it still has some disadvantages. The conventional FLC has many tuning parameters: membership functions, scaling factors, and so forth. In order to improve this problem, a single-input fuzzy logic control (SFIC) which greatly simplifies the design process of the conventional FLC was proposed. Many research has also been proposed to develop the stability analysis of the FLC. In this paper we analyze the absolute stability of the SFLC. We first expand a nonlinear controlled plant into a Taylor series about a nominal operating point. And a fuzzy control system is transformed into a Lure system with nonlinearities. We also prove that the closed-loop system with the SFLC satisfies the sector condition globally.

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A Frozen Time Receding Horizon Control for a Linear Discrete Time-Varying System (선형 이산 시변시스템을 위한 고정시간 이동구간 제어)

  • Oh, Myung-Hwan;Oh, Jun-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.2
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    • pp.140-144
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    • 2010
  • In the case of a linear time-varying system, it is difficult to apply the conventional stability conditions of RHC (Receding Horizon Control) to real physical systems because of computational complexity comes from time-varying system and backward Riccati equation. Therefore, in this study, a frozen time RHC for a linear discrete time-varying system is proposed. Since the proposed control law is obtained by time-invariant Riccati equation solved by forward iterations at each control time, its stability can be ensured by matrix inequality condition and the stability condition based on horizon for a time-invariant system, and they can be applied to real physical systems effectively in comparison with the conventional RHC.

Effects of Trunk Stability Exercise by using PNF on Trunk Control Ability and Balance, Gait in a Patient with Hemiplegia: A Single Case Study (PNF를 이용한 체간안정화운동이 뇌졸중 환자의 체간조절능력과 균형, 보행에 미치는 영향: 단일사례연구)

  • Jung, Du-Kyo
    • PNF and Movement
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    • v.13 no.4
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    • pp.203-213
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    • 2015
  • Purpose: Deficits in lower-extremity function and trunk control ability have a negative impact on individuals with hemiplegia. This case report aimed to describe the effect of trunk stability exercises using proprioceptive neuromuscular facilitation (PNF) on trunk control ability, balance, and gait in a patient with hemiplegia. Methods: A 77-year-old man with hemiplegia and trunk and lower extremity impairment participated in this four-week training intervention. Results: The patient demonstrated improvements in trunk control ability, balance, and gait performance. Outcome measures (Fugl-Meyer Assessment Lower Extremity (FMA-LE), Trunk Control Test, Berg Balance Scale, Timed Up and Go test, 10 Meter Walk test) were measured before and after the training program. Conclusion: The results of this case suggest that a trunk stability exercise using a PNF program may improve trunk control ability, balance, and gait in a patient with hemiplegia.

Design of Robust High-Speed Motion Controller with Actuator Saturation and Its Application to Precision Positioning System (구동기 포화가 있는 견실 고속 온동 제어기 설계 및 정밀 위치 결정 시스템에의 적용)

  • Park, Hyun-Raek;Kim, Bong-Keun;Shh, Il-Hong;Chung, Wan-Kyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.9
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    • pp.768-776
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    • 2000
  • A robust high-speed motion controller is proposed. The proposed controller consists of the proximate time optimal servomechai는 (PTOD) for high-speed motion, disturbance observer (DOB) for robustness, friction compensator, and saturation handling element, In the proposed controller, DOB basically provides the chance to apply PTOS to non-double integrator systems by drastically reducing disturbances as well as unwanted signals due to difference between real system and the double integrator model. But, in DOB-based systems, if control input is saturated due to control input PTOS and/or DOB, overall system stability cannot be guaranteed. To solve this problem, ribust stability, when the control input is saturated. Eventually, a simple saturation handling element is inserted to maintain internal stability of overall system. Also, we explain the our two saturation handling methods, Additional Saturation Element (ASE_ and Self Adjusting Saturation (SAS), are the equivalent solutions of the saturation problem to maintain internal stability. The stability and performance of the proposed controller are verified through numerical simulations and experiments using a precision linear motor system.

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