• Title/Summary/Keyword: state trajectory

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Deriviation of the z-transfer Function of Optimal Digital Controller Using an Integral-Square-Error Criterion with the continuous-data Model in Linear Control Systems (선형연속데이터형 제어계통의 플랜트와 디지털모델의 오차자승적분지표에 의한 최적디지탈제어기의 전달함수유도)

  • Park, Kyung-Sam
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.32 no.6
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    • pp.211-218
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    • 1983
  • In this paper, an attempt is made to match the continuous state trajectory of the digital control system with that of its continuous data model. Matching the state trajectories instead of the output responses assures that the performances of the internal variables of the plant as well as the output variables are preserved in the discretization. The mathematical tool used in this research is an extended maximum principle of the Pontryagin type, which enables one to synthesize a staircase type of optimal control signals, such as the output signal of a zero-order hold asociated with a digital controller. A general mathematical expression of the digital controller which may be used to replace the analog controller of a general system while preserving as mauch as possible the performance characteristics of the original continuous-data control system is derived in this paper.

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The Modern White Horse Temple and Online Reconfiguring of a Buddhist Heritage Space

  • Kai, SHMUSHKO
    • Journal of Daesoon Thought and the Religions of East Asia
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    • v.3 no.1
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    • pp.109-128
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    • 2023
  • Recent research shows that since the early 2000s, the Chinese Communist Party has increasingly used various cultural heritage sites, including Buddhist sites, as soft power agents. Furthermore, in the context of the Belt and Road Initiative, launched by the People's Republic of China, Buddhist temples, representatives, and practices have been harnessed to play a role in the state's agenda. In this context, White Horse Temple, as a feature of cultural tourism in Henan Province, is facing new opportunities and challenges. The article examines the material particularities of reconstructing the temple in light of this trajectory, building on materials retrieved at the site, and online representations of the temple. The author explores how the temple's unique spatiality and characteristics stress the use of soft power which harnesses online and offline cultural and popular trends for state agenda.

Trajectory Tracking Control of the Wheeled Inverse Pendulum Type Self - Contained Mobile Robot in Two Dimensional Plane (역진자형 자주로보트의 2차원 평면에서 궤도주행제어에 관한 연구)

  • 하윤수;유영호;하주식
    • Journal of Advanced Marine Engineering and Technology
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    • v.17 no.5
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    • pp.44-53
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    • 1993
  • In this paper, we discuss on the control algorithm to make the wheeled inverse pendulum type mobile robot move in two dimensional plane. The robot considered in this paper has two independently driven wheels in same axel which suport and move it-self, and is assumed to have the fyro type sensor to know the inclination algle of the body and rotary encoders to know wheel's rotation angular velocity. The control algorithm is divided into three parts. The first part is for the posture and velocity control for forward-backward direction, the second is the steering control, and the last part is for the control of total system to track the given trajectory. We handle the running velocity control of the robot as part of the posture control to keep the balance because the posture relates deeply with the velocity and can be controlled by the velocities of the wheels. The control problem is analyzed as the tracking control, and the controller is realized with the state feedback and feed-forward of the reference velocity. Constructing the control system which contained one intergrator in forward path, we also realized the control system without observer for the estimation of the accumulated errors in the inclination angle of the body. To prevent the robot from being unstable state by sudden variation of the reference velocity when it starts and stops, or changes velocity, the reference velocity of which acceleration is slowly changing, is ordered to the robot. To control its steering, we give the different reference velocities for both wheels which are calculated from the desired angular velocity of the body. Finally, we presents the experimental results of the experimental robot Yamabico Kurara in which the proposed control algorithm had been implemented.

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Predictive Control based on Genetic Algorithm for Mobile Robots with Constraints (제한조건을 갖는 이동로봇의 유전알고리즘에 의한 예측제어)

  • Choi, Young-Kiu;Park, Jin-Hyun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.22 no.1
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    • pp.9-16
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    • 2018
  • Predictive control is a very practical method that obtain the current input that minimizes the future errors of the reference command and state by use of the predictive model of the controlled object, and can also consider the constraints of the state and input. Although there have been studies in which predictive control is applied to mobile robots, performance has not been optimized as various control parameters for determining control performance have been arbitrarily specified. In this paper, we apply the genetic algorithm to the trajectory tracking control of a mobile robot with input constraints in order to minimize the trajectory tracking errors through control parameter tuning, and apply the quadratic programming Hildreth method to reflect the input constraints. Through the computer simulation, the superiority of the proposed method is confirmed by comparing with the existing method.

ZVS-PWM Boost Chopper-Fed DC-DC Converter with Load-Side Auxiliary Edge Resonant Snubber and Its Performance Evaluations

  • Ogura, Koki;Chandhaket, Srawouth;Ahmed, Tarek;Nakaoka, Mutsuo
    • Journal of Power Electronics
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    • v.4 no.1
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    • pp.46-55
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    • 2004
  • This paper presents a high-frequency ZVS-PWM boost chopper-fed DC-DC converter with a single active auxiliary edge resonant snubber in the load-side which can be designed for power conditioners such as solar photovoltaic generation, fuel cell generation, battery and super capacitor energy storages. Its principle operation in steady-state is described in addition to a prototype setup. The experimental results of ZVS-PWM boost chopper-fed DC-DC converter proposed here, are evaluated and verified with a practical design model in terms of its switching voltage and current waveforms, the switching v-i trajectory, the temperature performance of IGBT module, the actual power conversion efficiency and the EMI of radiated and conducted emissions. And then discussed and compared with the hard switching scheme from an experimental point of view. Finally, this paper proposes a practical method to suppress parasitic oscillation due to the active auxiliary resonant switch at ZCS turn off mode transition with the aid of an additional lossless clamping diode loop, and reduced the EMI conducted emission in this paper.

Optimal path planning for the capturing of a moving object

  • Kang, Jin-Gu;Lee, Sang-Hun;Hwang, Cheol-Ho;Lee, Jang-Myung
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1419-1423
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    • 2004
  • In this paper, we propose an algorithm for planning an optimal path to capture a moving object by a mobile robot in real-time. The direction and rotational angular velocity of the moving object are estimated using the Kalman filter, a state estimator. It is demonstrated that the moving object is tracked by using a 2-DOF active camera mounted on the mobile robot and then captured by a mobile manipulator. The optimal path to capture the moving object is dependent on the initial conditions of the mobile robot, and the real-time planning of the robot trajectory is definitely required for the successful capturing of the moving object. Therefore the algorithm that determines the optimal path to capture a moving object depending on the initial conditions of the mobile robot and the conditions of a moving object is proposed in this paper. For real-time implementation, the optimal representative blocks have been utilized for the experiments to show the effectiveness of the proposed algorithm.

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Optimal path planning for the capturing of a moving object

  • Hwang, Cheol-Ho;Lee, Sang-Hun;Ko, Jae-Pyung;Lee, Jang-Myung
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.186-190
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    • 2003
  • In this paper, we propose an algorithm for planning an optimal path to capture a moving object by a mobile robot in real-time. The direction and rotational angular velocity of the moving object are estimated using the Kalman filter, a state estimator. It is demonstrated that the moving object is tracked by using a 2-DOF active camera mounted on the mobile robot and then captured by a mobile manipulator. The optimal path to capture the moving object is dependent on the initial conditions of the mobile robot, and the real-time planning of the robot trajectory is definitely required for the successful capturing of the moving object. Therefore the algorithm that determines the optimal path to capture a moving object depending on the initial conditions of the mobile robot and the conditions of a moving object is proposed in this paper. For real-time implementation, the optimal representative blocks have been utilized for the experiments to show the effectiveness of the proposed algorithm.

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Reference Trajectory Optimization of a Launch Vehicle M-3H-3 for Scientific Missions (과학위성 발사체 M-3H-3의 기준궤적 최적화)

  • Lee, Seung-H.;Choi, Jae-W.;Lee, Jang-G.
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.361-365
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    • 1991
  • The problem being considered here is the determination of optimal guidance laws for a launch vehicle for scientific missions. The optimal guidance commands are determined in the sense that the least amount of fuel is used. A numerical solution was obtained for the case where the position and velocity state variables satisfy a specified constraint at the time of thrust cutoff. The method used here is based on the Pontryagin's maximum principle. This is the method of solving a problem in the calculus of variations. In particular, it applies to the problem considered here where the magnitude of the control is bounded. Simulations for the optimal guidance algorithm, during the 2nd and the 3rd-stage flight of the Japanese rocket M-3H-3, are carried out. The results show that the guided trajectory that satisfying the terminal constraints is optimal, and the guidance algorithm works well in the presence of some errors during the 1st-stage pre-programmed guidance phase.

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Optimal Perilune Altitude of Lunar Landing Trajectory

  • Cho, Dong-Hyun;Jeong, Bo-Young;Lee, Dong-Hun;Bang, Hyo-Choong
    • International Journal of Aeronautical and Space Sciences
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    • v.10 no.1
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    • pp.67-74
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    • 2009
  • In general, the lunar landing stage can be divided into two distinct phases: de-orbit and descent, and the descent phase usually comprises two sub-phases: braking and approach. And many optimization problems of minimal energy are usually focused on descent phases. In these approaches, the energy of de-orbit burning is not considered. Therefore, a possible low perilune altitude can be chosen to save fuel for the descent phase. Perilune altitude is typically specified between 10 and 15km because of the mountainous lunar terrain and possible guidance errors. However, it requires more de-orbit burning energy for the lower perilune altitude. Therefore, in this paper, the perilune altitude of the intermediate orbit is also considered with optimal thrust programming for minimal energy. Furthermore, the perilune altitude and optimal thrust programming can be expressed by a function of the radius of a parking orbit by using continuation method and co-state estimator.

ON A TIME-CONSISTENT SOLUTION OF A COOPERATIVE DIFFERENTIAL TIME-OPTIMAL PURSUIT GAME

  • Kwon, O-Hun;Svetlana, Tarashinina
    • Journal of the Korean Mathematical Society
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    • v.39 no.5
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    • pp.745-764
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    • 2002
  • In this paper we Study a time-optimal model of pursuit in which the players move on a plane with bounded velocities. This game is supposed to be a nonzero-sum group pursuit game. The main point of the work is to construct and compare cooperative and non-cooperative solutions in the game and make a conclusion about cooperation possibility in differential pursuit games. We consider all possible cooperations of the players in the game. For that purpose for every game $\Gamma(x_0,y_0,z_0)$ we construct the corresponding game in characteristic function form $\Gamma_v(x_0,y_0,z_0)$. We show that in this game there exists the nonempty core for any initial positions of the players. The core can take four various forms depending on initial positions of the players. We study how the core changes when the game is proceeding. For the original agreement (an imputation from the original core) to remain in force at each current instant t it is necessary for the core to be time-consistent. Nonemptiness of the core in any current subgame constructing along a cooperative trajectory and its time-consistency are shown. Finally, we discuss advantages and disadvantages of choosing this or that imputation from the core.