Original scientific paperIn this paper, two kinds of evaluation index for the haptic motion analysis in parallel multiple degrees-offreedom (MDOF) system are proposed. At first, the spatial modal decomposition method based on discrete Fourier series expansion (DFS) is presented. Spatial modal information expresses a motion element that corresponds to a specific physical action. The spatial modal information can mathematically be defined by the Fourier coefficients. Then, this paper proposes the total harmonic distortion (THD) and the content rate of the haptic modal information as motion evaluation indexes. THD of the spatial modal information can evaluate the complexity of the human motion and/or the deformability of the contact environment. Content rate of the spatial modal information can evaluate the priority of motion element. Some experimental results on the bilateral motion control of a parallel five DOF haptic system are shown, in order to confirm the utility of the proposed indexes.
Key words: Discrete fourier series expansion, Haptics, Modal decomposition, Motion controlUkupno harmoničko izobličenje i brzina prostorne modalne informacije za analizu haptičkog paralelnog gibanja. U ovom radu predložena su dva indikatora vrednovanja haptičkog gibanja u paralelnom sustavu s više stupnjeva slobode. Prikazana je metoda prostorne modalne dekompozicije zasnovana na proširenom diskretnom Fourierovom redu. Prostorna modalna informacija predstavlja element koji odgovara specifičnoj fizikalnoj radnji. Prostorna modalna informacija matematički se može opisati koristeći Fourierove koeficijente. U ovom se radu kao indikatori za evaluaciju gibanja predlažu ukupno harmoničko izobličenje i brzina haptičke modalne informacije. Ukupnim harmoničkim izobličenjem prostorne modalne informacije može se ocijeniti kompleksnost ljudskog gibanja i/ili deformabilnost kontaktne okoline. Przina prostorne modalne informacije ocjenjuje prioritet elementa u gibanju. Kako bi se potvrdila korisnost predloženih indikatora vrednovanja prikazani su eksperimentalni rezultati dobiveni dvoosnim prostornim upravljanjem paralelnim haptičkim sustavom s pet stupnjeva slobode.Ključne riječi: proširenje diskretnog Fourierovog reda, haptika, modalna dekompozicija, upravljanje gibanjem
INTRODUCTIONThe analysis of the dexterity and the flexibility in human physicality is significant for the design and the development of intelligent human support systems. The advanced computer vision technology can realize the human motion capture [1] and the vision-based motion analysis [2]. The sensor and actuator technology can realize the human motion sensing [3] and the physical support based on biological information [4,5]. Biomechanical knowledge about human physicality can enhance the human-systeminteraction [6]. For the further comprehension of human physicality, it is expected that not only movement but also strength of force in human motion is analyzed by the engineering approach.Highly transparent bilateral system can realize not only the transmission of hapt...