• Title/Summary/Keyword: Lyapunov controller

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SLIP CONTROLLER DESIGN FOR TRACTION CONTROL SYSTEM

  • Jung, H.;Kwak, B.;Park, Y.
    • International Journal of Automotive Technology
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    • v.1 no.1
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    • pp.48-55
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    • 2000
  • Two major roles of the traction control system (TCS) are to guarantee the acceleration performance and directional stability even in extreme road conditions, under which average drivers may not control the car properly. Commercial TCSs use experiential methods such as lookup table and gain-scheduling to achieve proper performance under various road and vehicle conditions. This paper proposes a new slip controller which uses the brake and the throttle actuator simultaneously. To avoid measurement problems and to get a simple structure, the brake controller and the throttle controller are designed using Lyapunov redesign method and multiple sliding mode control respectively. Through the hybrid use of brake and throttle controllers, the vehicle is insensitive to the variation of the vehicle mass, brake gain and road condition and can achieve the required acceleration performance. The proposed method is validated with simulations based on 15 DOF passenger car model.

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High Performance of Self Scheduled Linear Parameter Varying Control with Flux Observer of Induction Motor

  • Khamari, Dalila;Makouf, Abdesslam;Drid, Said;Chrifi-Alaoui, Larbi
    • Journal of Electrical Engineering and Technology
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    • v.8 no.5
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    • pp.1202-1211
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    • 2013
  • This paper deals with a robust controller for an induction motor (IM) which is represented as a linear parameter varying systems. To do so linear matrix inequality (LMI) based approach and robust Lyapunov feedback are associated. This approach is related to the fact that the synthesis of a linear parameter varying (LPV) feedback controller for the inner loop take into account rotor resistance and mechanical speed as varying parameter. An LPV flux observer is also synthesized to estimate rotor flux providing reference to cited above regulator. The induction motor is described as a polytopic LPV system because of speed and rotor resistance affine dependence. Their values can be estimated on line during systems operations. The simulation and experimental results largely confirm the effectiveness of the proposed control.

Design of a robust $H_{\infty}$ controller with regional stability constraints for uncertain linear systems (불확실한 선형 시스템의 지역 안정 제한 조건을 가진 강인한 $H_{\infty}$제어기의 설계)

  • 이문노;문정호;정명진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.747-750
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    • 1996
  • This paper considers the problem of robust H$_{\infty}$ control with regional stability constraints via output feedback to assure robust performance for uncertain linear systems. A robust H$_{\infty}$ control problem and the generalized Lyapunov theory are introduced for dealing with the problem, The output feedback H$_{\infty}$ controller makes the controlled outputs settle within a given bound and the control input not to be saturated. The regional stability constraints problem for uncertain systems can be reduced to the problem for the nominal systems by finding sufficient bounds of variations of the closed-loop poles due to modeling uncertainties. A controller design procedure is established using the Lagrange multiplier method. The controller design technique was illustrated on the track-following system of a optical disk drive.ve.

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Nonfragile Guaranteed Cost Controller Design for Uncertain Large-Scale Systems (섭동을 갖는 대규모 시스템의 비약성 성능보장 제어기 설계)

  • Park, Ju-Hyeon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.11
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    • pp.503-509
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    • 2002
  • In this paper, the robust non-fragile guaranteed cost control problem is studied for a class of linear large-scale systems with uncertainties and a given quadratic cost functions. The uncertainty in the system is assumed to be norm-bounded and time-varying. Also, the state-feedback gains for subsystems of the large-scale system are assumed to have norm-bounded controller gain variations. The problem is to design a state feedback control laws such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties and controller gain variations. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequality (LMI) approach combined with the Lyapunov method. A parameterized characterization of the robust non-fragile guaranteed cost controllers is given in terms of the feasible solutions to a certain LMI. A numerical example is given to illustrate the proposed method.

A Nonlinear Robust Control of Robot Arm with Four Joints Based on Lyapunov Stability Analysis (리아프노프 안정성 해석에 기준한 4축 로봇 아암의 비선형 견실제어)

  • Hyeon, Gi-Kwon;Shim, Hyun-Seok;Yoon, Dae-sik
    • Journal of the Korean Society of Industry Convergence
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    • v.18 no.3
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    • pp.157-166
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    • 2015
  • In this paper, we proposed a new robust control scheme to implement stable control of robot manipulators including nonlinear perameters The proposed robust controller is composed of a nonlinear controller and linear compemsation controller. It shows a good robust performance in reaching mode which does not possess invariance property. Thus, the proposed nonlinear controller showed a good robust performance in the whole region, It was illustrated that the proposed control showed a good transient response and trajectory tracking performance for robot manipulator with four joint by experiments.

On-line Adaptive Control for Robot Manupulators (로봇 매니퓰레이터의 실시간 적응 제어)

  • Lee, Min-Jung;Choi, Young-Kiu;Kim, Sung-Shin
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2729-2731
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    • 2000
  • In this paper, we propose an adaptive controller using RBFN(radial basis function network) for robot manipulators. The structure of the proposed controller consists of a RBFN and a fixed gain PD controller. On the basis of the Lyapunov stability theorem, we guarantee the UUB (uniformly ultimately boundedness) for the total system. And the learning law of RBFN is established by the Lyapunov method. Finally, we apply the proposed controller to tracking control for the 2 link SCARA type robot manipulator.

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Formation Control of Mobile Robot for Moving Object Tracking (이동물체 추적을 위한 이동로봇의 대형제어)

  • Oh, Young-Suk;Lee, Chung-Ho;Park, Jong-Hun;Kim, Jin-Hwan;Huh, Uk-Youl
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.4
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    • pp.856-861
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    • 2011
  • The mobile robot controller is designed to track the target and to maintain the formation at the same time. Formation control is included in mobile robot controller by extending the trajectory tracking algorithm. The dynamic model of mobile robot is used with kinematic model considering the practical physical parameters of mobile robot. The dynamic model of mobile robot transforms velocity control input of kinematic model into torque control input which is the practical control input of mobile robot. Formation controller of mobile robot is designed to satisfy Lyapunov stability by backstepping method. The designed formation controller is applied to the mobile robot for various target movements and simulated to confirm the Lyapunov stability.

Control of the pressurized water nuclear reactors power using optimized proportional-integral-derivative controller with particle swarm optimization algorithm

  • Mousakazemi, Seyed Mohammad Hossein;Ayoobian, Navid;Ansarifar, Gholam Reza
    • Nuclear Engineering and Technology
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    • v.50 no.6
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    • pp.877-885
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    • 2018
  • Various controllers such as proportional-integral-derivative (PID) controllers have been designed and optimized for load-following issues in nuclear reactors. To achieve high performance, gain tuning is of great importance in PID controllers. In this work, gains of a PID controller are optimized for power-level control of a typical pressurized water reactor using particle swarm optimization (PSO) algorithm. The point kinetic is used as a reactor power model. In PSO, the objective (cost) function defined by decision variables including overshoot, settling time, and stabilization time (stability condition) must be minimized (optimized). Stability condition is guaranteed by Lyapunov synthesis. The simulation results demonstrated good stability and high performance of the closed-loop PSO-PID controller to response power demand.

Depth Control of Autonomous Underwater Vehicle Using Robust Tracking Control (강인추적 제어를 이용한 자율 무인 잠수정의 심도제어)

  • Chai, Chang-Hyun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.20 no.4
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    • pp.66-72
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    • 2021
  • Since the behavior of an autonomous underwater vehicle (AUV) is influenced by disturbances and moments that are not accurately known, the depth control law of AUVs must have the ability to track the input signal and to reject disturbances simultaneously. Here, we proposed robust tracking control for controlling the depth of an AUV. An augmented closed-loop system is represented by an error dynamic equation, and we can easily show the asymptotic stability of the overall system by using a Lyapunov function. The robust tracking controller is consisted of the internal model of the command signal and a state feedback controller, and it has the ability to track the input signal and reject disturbances. The closed-loop control system is robust to parameter uncertainties. Simulation results showed the control performance of the robust tracking controller to be better than that of a P + PD controller.

Lyapunov-Based Fuzzy Control Scheme for Switched Reluctance Motor Drives

  • Safavian L.;Filizadeh S.;Emadi A.
    • Proceedings of the KIPE Conference
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    • 2001.10a
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    • pp.400-403
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    • 2001
  • In this paper, the classical Lyapunov synthesis method for designing controllers is extended to fuzzy logic. This control technique is then applied to the design of a novel tracking controller for reluctance motor drives. The main features of the method are small rule base, simplicity of construction, and low cost. The proposed controller has been simulated for a model case. In addition, its dynamic performances have been shown to be satisfactory. Capabilities of the proposed technique in controlling the highly nonlinear systems of reluctance motors with much simplicity are also verified.

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