• 제목/요약/키워드: Lyapunov Control Algorithm

검색결과 187건 처리시간 0.03초

Lyapunov 안정도 이론을 이용한 가변구조모델추종제어기 설계방법 (A VSMFC Design Method Using the Stability Theory of Lyapunov)

  • 안수관;배준경;박종국
    • 대한전기학회논문지
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    • 제38권12호
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    • pp.983-994
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    • 1989
  • This paper presents a new variable structure model following control algorithm for control of manipulators. The reference model is a simple double integrators and the acceleration input for the robot manipulator consists of a proportional and derivative controller for the purpose of trajectory tracking. The control algorithm is derived by using Lyapunov stability theory instead of S.S < O, as is usual in the current VSS controller design. This proposed control algorithm does not require good knowledge of the parameter in the inertia matrix and is easily extendable to robot manipulators with a higher number of links. Also, the new algorithm is computationally fast because of not requiring the matrix inversion. The computer simulation was carried out to evaluate the performance of the proposed VSMFC.

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새로운 형태의 Lyapunov 함수를 이용한 직접 적응 제어기의 설계 (Design of a Direct Adaptive Controller with a Novel Kind of Lyapunov Function)

  • 이효섭;양해원
    • 제어로봇시스템학회논문지
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    • 제8권7호
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    • pp.533-538
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    • 2002
  • We propose a direct adaptive controller for a class of nonlinearly parametrized systems. A normalized output error is added to the previous control law to construct the proposed adaptive controller. The transient performance of the resulting closed-loop system can be guaranteed by suitably choosing a novel kind of Lyapunov function while the tracking performance of the adaptive control system is improved using the proposed algorithm. Finally, the effectiveness of the proposed algorithm is illustrated with computer simulation.

구조물의 에너지를 이용한 확률에 기초한 능동제어 (Probability-Based Active Control Using Structure Energy)

  • Min, Kyung-Won;Hwang, Jae-Seung;Lee, Sang-Hyun;Lan Chung
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.47-55
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    • 2003
  • This paper Presents active control algorithm using probability density function of structural energy. It is assumed that the structural energy under excitation has Rayleigh probability distribution. This assumption is based on the fact that Rayleigh distribution satisfies the condition that the structural energy is always positive and the occurrence probability of minimum energy is zero. The magnitude of control force is determined by the probability that the structural energy exceeds the specified target critical energy, and the sign of control force is determined by Lyapunov controller design method. Proposed control algorithm shows much reduction of peak responses under seismic excitation compared to LQR controller, and it can consider control force limit in the controller design. Also, chattering problem which sometimes occurs in Lyapunov controller can be avoided.

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새로운 추정 알고리즘을 이용한 비최소 위상 시스템의 직접 적응 제어 (Direct Adaptive Control of Nonminimum Phase Systems Using Novel Estimation Algorithm)

  • 이선우;김종환
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 A
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    • pp.377-380
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    • 1992
  • This paper proposes a novel direct adaptive pole placement control algorithm which can be applied to continuous time nonminimum phase systems. The algorithm is based on Lyapunov's direct method. By introducing an auxiliary signal, a minimal error model is constructed in state space. Using the error model an estimation law is obtained via Lyapunov's second stability theorem. The global stability of the overall system is established.

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로보트 매니퓰레이터의 개선된 견실 및 적응제어기의 설계 (An improved Robust and Adaptive Controller Design for a Robot Manipulator)

  • Park, H.S.;Kim, D.H.
    • 한국정밀공학회지
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    • 제11권6호
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    • pp.20-27
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    • 1994
  • This paper presents a controller design to coordinate a robot manipulator under unknown system parameters and bounded disturbance inputs. To control the motion of the manipulator, an inverse dynamics control scheme is applied. Since parameters of the robot manipulators such as mass and inertia are not perfectly known, the difference between the actual and estimated parameters works as a disturbance force. To identify the unknown parameters, an improved adaptive control algorithm is directly derived from a chosen Lyapunov's function candidate based on the Lyapunov's Second Method. A robust control algorithm is devised to counteract the bounded disturbance inputs such as contact forces and disturbing forces coming from the difference between the actual and the estimated system parameters. Numerical examples are shown using three degree-of-freedom planar arm.

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에너지소산 제어 알고리듬의 제어이득 산정 (Control-Gain Estimation of Energy Dissipation Control Algorithms)

  • 이상현;강상훈;민경원
    • 한국전산구조공학회논문집
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    • 제17권4호
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    • pp.343-350
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    • 2004
  • 본 논문은 에너지소산 제어알고리듬의 제어이득 산정에 관하여 연구하였다. Lyapunov안정성이론에 기초하여 속도 되먹임 포화제어알고리듬, 뱅뱅제어 알고리듬 그리고 에너지게인 제어알고리듬을 제안하였고, 이 알고리듬의 성능을 평가하고 비교하였다. 속도 되먹임 포화제어알고리듬과 에너지게인 제어알고리듬에서는 포화현상을 고려하였고, 뱅뱅제어에서는 경계층을 이용하여 채터링현상을 고려하였다. 수치적인 해석을 통해서 제안된 제어알고리듬이 바람하중에 의해 야기되어지는 구조물의 에너지를 효과적으로 소산시킬 수 있음을 보여주었다.

시간지연 시스템을 위한 리아푸노브 이론 기반 상태 피드백 제어기 설계 (Design of Lyapunov Theory based State Feedback Controller for Time-Delay Systems)

  • 조현철;신찬배
    • 전기학회논문지
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    • 제62권1호
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    • pp.95-100
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    • 2013
  • This paper presents a new state feedback control approach for communication networks based control systems in which control input and output observation time-delay natures are generally occurred in practice. We first establish a generic state feedback control framework based on well-known linear system theory. A maximum time-delay value which allows critical stability of whole control system are defined to make a positive definite Lyapunov function which is mathematically composed of controlled system states. We analytically derive its control parameters by using a steepest descent optimization method in order to guarantee a stability condition through Lyapunov theory. Computer simulation is numerically carried out for demonstrating reliability of the proposed NCS algorithm and a comparative study is accomplished to prove its superiority for which the traditional control approach for NCS is made use of under same simulation scenarios.

휠 슬립 제어기 및 최적 슬립 결정 알고리즘을 이용한 차량의 최대 제동력 제어 (Maximum Braking Force Control Using Wheel Slip Controller and Optimal Target Slip Assignment Algorithm in Vehicles)

  • 홍대건;황인용;선우명호;허건수
    • 대한기계학회논문집A
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    • 제30권3호
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    • pp.295-301
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    • 2006
  • The wheel slip control systems are able to control the braking force more accurately and can be adapted to different vehicles more easily than conventional ABS systems. In order to achieve the superior braking performance through the wheel-slip control, real-time information such as the tire braking force at each wheel is required. In addition, the optimal target slip values need to be determined depending on the braking objectives such as minimum braking distance, stability enhancement, etc. In this paper, a robust wheel slip controller is developed based on the adaptive sliding mode control method and an optimal target slip assignment algorithm. An adaptive law is formulated to estimate the longitudinal braking force in real-time. The wheel slip controller is designed using the Lyapunov stability theory and considering the error bounds in estimating the braking force and the brake disk-pad friction coefficient. The target slip assignment algorithm is developed for the maximum braking force and searches the optimal target slip value based on the estimated braking force. The performance of the proposed wheel-slip control system is verified In simulations and demonstrates the effectiveness of the wheel slip control in various road conditions.

MR댐퍼 및 Lyapunov제어알고리즘을 이용한 교량 구조물의 실시간 진동제어 (Real-time Vibration Control of Bridges by MR damper and Lyapunov Control Algorithm)

  • 허광희;전준용;박승범;오성근
    • 한국구조물진단유지관리공학회 논문집
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    • 제14권4호
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    • pp.55-61
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    • 2010
  • 본 논문에서는 구조적으로 유연한 특성을 갖는 교량 구조물을 대상으로 외력에 의해 발생되는 진동을 실시간으로 제어하고자 실험적 연구를 수행하였다. 여기서 진동제어를 위한 교량 구조물은 서해대교를 규모화 한 모형 교량 구조물을 사용하였고, 실험실 여건을 고려해 규모화 된 El-centro 지진파형으로 구조물을 가진하였다. 또한, 교량 상판 중앙지점에는 전자석이 채용된 전단형 MR 댐퍼를 설치하여 발생된 진동을 제어하도록 하였고, 동시에 변위계 및 가속도계를 설치하여 구조물의 응답(변위, 가속도)을 획득하였다. 이때 진동제어의 실험은 크게 비-제어, 수동 on/off 제어, 그리고 Lyapunov 안정도 이론에 의한 실시간 피드백 진동제어방법을 이용하여 수행하였고, 이때 진동제어의 효과는 상판 중앙지점에 대하여 비-제어 시 기준 각 실험방법 별 절대최대변위와 절대최대가속도 그리고, 인가전압의 소모량으로 평가하였다. 진동제어실험의 결과로부터, Lyapunov 제어방법은 구조물의 발생 변위 및 가속도를 효과적으로 감소시켰으며, 특히 진동제어 시 요구되는 외부 인가전압의 소비를 크게 감소시킬 수 있음을 확인하였다. 최종적으로, 본 논문에서 구성한 실시간 준능동 피드백 진동제어 시스템은 구조물에 발생된 진동을 제어 관리하기 위한 적극. 효율적인 방법으로 활용될 수 있는 가능성을 제시하였다.

Lyapunov 안정도이론에 기초를 둔 이산기준모델 적응제어 (Discrete Model Reference Adaptive Control based on Lyapunov's Stability Theory)

  • 함운철;최계근
    • 대한전자공학회논문지
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    • 제24권6호
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    • pp.942-947
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    • 1987
  • In this paper, we suggest a new adaptive control theory for discrete-time single-input single output systems based on the Lyapunov's stability theory by using the fact that the transfer function of the model is strictly positive real. And also, obervers are used in the structure of controller. The result of computer simulation shows that the proposed algorithm can be applied to both stable and unstable plants.

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