In robotic teleoperation, it is crucial to be able to dynamically adjust interactions with the environment. Drawing inspiration from human behavior during interactions, Variable Impedance Control (VIC) has been widely adopted to enhance robotic flexibility and adaptability. However, maintaining the passivity of such control systems remains a critical safety concern. This paper introduces an optimization-based framework for passive variable impedance control in bilateral teleoperation, combining the advantages of Passivity Filters (PFs), Time-Domain Passivity (TDP) control, and Passive-Set-Position-Modulation (PSPM). The method solves an optimization problem aimed at dissipating the energy that could lead to a lack of passivity. The proposed method is assessed through experiments, illustrating its ability to keep the teleoperation system passive and safe under a variable impedance profile.

In this work, we use recent developments in the field of adaptive robust Model Predictive Control (MPC) to build a controller for bilateral teleoperation systems. To guarantee robust constraint satisfaction, we incorporate polytopic tube controllers in the MPC design. In addition, we use online learning methods to learn the environment model. Namely, we use set membership learning to learn the parametric uncertainty bounds and reduce the conservatism of the robust controller, and we combine it with least mean square method to learn a point estimate of the model parameters, which enhances the controller performance. Our simulation demonstrates the effectiveness of the proposed approach in maintaining robust constraint satisfaction and enhancing performance by learning during teleoperation tasks.