著者

Napoleon Nazir 中浦 茂樹 三平 満司

出版者

The Robotics Society of Japan

雑誌

日本ロボット学会誌 (ISSN:02891824)

巻号頁・発行日

vol.22, no.5, pp.656-665, 2004-07-15 (Released:2010-08-25)

参考文献数

25

被引用文献数

8 11

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This paper presents balance control analysis of humanoid robot based on Zero Moment Point (ZMP) feedback control. The ZMP is often used as a standard evaluation of the stability of humanoid robot. Balance control is performed by controlling ZMP position so that it is always located in convex hull of the foot-support area. To simplify the design of controller, one-mass model which represents lower body part of the humanoid robot model has been commonly applied. However, the one-mass model causes the system becomes non-minimum phase, so that performance limitation is occurred. These disadvantages are attributed to the Waterbed effect in frequency domain and unavoidable undershoot in time domain. Therefore, this paper proposes the ZMP feedback control based on two-mass model, representing lower and upper body part of the humanoid robot. The proposed model results in minimum phase system. Finally, a design of controller based on the proposed model using Linear Quadratic Optimal Control by evaluating output of the system is described and confirmed using simulation.

著者

川井田 康礼 中浦 茂樹 大畠 龍介 三平 満司

出版者

一般社団法人 日本機械学会

雑誌

「運動と振動の制御」シンポジウム講演論文集 2003.8 (ISSN:24243000)

巻号頁・発行日

pp.540-545, 2003-10-30 (Released:2017-06-19)

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Devil stick is a kind of juggling as to control a floating stick (the center stick) by hitting or pushing with other sticks (the hand sticks). Various stick motions are performed by jugglers and some of them are studied as control problem. The purpose of this paper is to rotate the center stick by only pushing with one hand stick. In other word, control objective is to maintain the position and the angular velocity of the center stick. The control strategy in this paper is as follows. To begin with, some states are controlled by output zeroing control. The output function is derived from observing the motion of good jugglers. But there are two problems in this strategy. First, since the attitude angle of the center stick is in unobservable subspace, the angular velocity can't be controlled. Secondly, the direction of the input force isn't considered. For the first problem, by solving equations of the zero dynamics, it turns out that it is possible to stabilize the angular velocity by changing the contact point of the center stick and the hand stick. For the second one, the analytical result shows that the required force depends on the angular velocity. Some numerical simulations show the usefulness of the proposed strategy.