Input to state stable approach to release the conservatism of passivity-based stable haptic interaction

Jafari, Aghil; Ryu, Jee Hwan

Abstract

Passivity has been a major criterion on designing a stable haptic interface due to many advantages. However, passivity has been suffering from its intrinsic conservatism since it only represents a small set of the whole stable region. Therefore, there was always limitation to increase the performance due to the small design margin from the passivity criterion. In most of the cases, stability and performance has trade-off relationship. In this paper, we propose a less conservative control approach for stable haptic interaction based on Input to State Stable (ISS) criterion. The proposed approach is inspired from the analogy between virtual environments and systems with hysteresis nonlinearities. A system with hysteresis nonlinearity has sector bounded property, which allows us to guarantee that only a finite amount of energy can be extracted from the system, which leads the system to be dissipative [1] and also the states to be bounded by a function of the input [2]. Since the finite amount of energy is allowed to be extracted from the system, the proposed ISS approach has less conservative constraint compared with passivity-based approaches. Moreover, the proposed approach has a simple structure and does not use any system parameters which make it suitable for practical implementations. Experimental evaluation validates the effectiveness of the proposed approach.

Citation

Jafari, A., & Ryu, J. (2015). Input to state stable approach to release the conservatism of passivity-based stable haptic interaction. IEEE International Conference on Robotics and Automation, https://doi.org/10.1109/ICRA.2015.7139013

• Journal Article Type: Article
• Conference Name: IEEE Robotics and Automation Society (ICRA 2015), Seatle
• Acceptance Date: May 26, 2015
• Online Publication Date: Jul 2, 2015
• Publication Date: May 26, 2015
• Journal: 2015 IEEE International Conference on Robotics and Automation (ICRA)
• Print ISSN: 1050-4729
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1109/ICRA.2015.7139013
• Keywords: virtual environments, stability criteria, haptic interfaces, hysteresis, force, time-domain analysis
• Public URL: https://uwe-repository.worktribe.com/output/834141
• Publisher URL: http://dx.doi.org/10.1109/ICRA.2015.7139013
• Additional Information: Title of Conference or Conference Proceedings : 2015 IEEE International Conference on Robotics and Automation (ICRA)