Robust Control of Master-Slave Systems Considering Uncertainties of Environment and Operator.

In this paper, we propose two design methods for robust control of master-slave systems, where one method gives a controller to guarantee the robust stability and the robust performance for all passive environments and operators, and the other guarantees the robustness for all environments and operators specified by the gain condition even if the environment is not passive. In both proposed methods, the dynamics of operator and environment is formulated as some kind of structured uncertainties included in the system, and the control problem of master-slave systems is reduced to a problem in terms of μ synthesis. In addition, we confirm the validity of the two proposed methods by some simulation results and discuss the applicable classes of each design method.