In this thesis a technique is presented to derive a parametrization of nonlinear state feedback by Interconnection and Damping Assignment Passivity Based Control (IDA-PBC), which allows for a transparent realization of predefined local linear dynamics, i.e. the dynamics of the linearized closed loop system. By a decomposition of the state space and the transformation of locally valid matching equations, the effect of the IDA-PBC design parameters becomes evident. The design parameters are computed solving a usually underdetermined system of linear equations. Using the presented method, the definiteness check of the energy function, which is crucial in the conventional IDA-PBC approach, is omitted, yielding enhanced applicability of IDA-PBC. Experiments and simulations with an electromechanical, a hydraulic and an underactuated mechanical system illustrate, besides academic examples, the design procedure.
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In this thesis a technique is presented to derive a parametrization of nonlinear state feedback by Interconnection and Damping Assignment Passivity Based Control (IDA-PBC), which allows for a transparent realization of predefined local linear dynamics, i.e. the dynamics of the linearized closed loop system. By a decomposition of the state space and the transformation of locally valid matching equations, the effect of the IDA-PBC design parameters becomes evident. The design parameters are comput...
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