The minimal controller synthesis (MCS) algorithm is one of the techniques of the model reference adaptive control, which is applicable for a system whose dynamic model is almost unknown. But, from our previous experimental study, we found out two problems in the practical implementation of MCS algorithm. The first is that the error convergence is prescribed by the dynamic characteristic of the reference model. The second is the nonlinearity in which the control characteristic of the system depends on the allocation of the origin of coordinates for the state variables. In this paper, the improved MCS algorithm for solving the problems is proposed. It is experimentally applied to the adaptive impedance control of a hydraulic robot without joint torque sensors and the experimental results illustrate the validity of the proposed algorithm. Although, in the impedance control, the torque control system using joint torque sensors is usually needed, our results confirms that the robustness of MCS algorithm makes it possible to implement the adaptive impedance control for hydraulic robots without joint torque sensors.
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