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Reduction of Physical and Constraint Degrees of Freedom of Redundant Formulated Multibody Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Commercial multibody system simulation (MBS) tools commonly use a redundant coordinate formulation as part of their modeling strategy. Such multibody systems subject to holonomic constraints result in secondorder dindex ...
The Use of Slack Variables in the Adjoint Method Handling Inequality Constraints in Optimal Control and the Application to Tumor Drug Dosage
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this article, a modified gradient approach, based on the adjoint method, is introduced, to deal with optimal control problems involving inequality constraints. A common way to incorporate inequality constraints in the ...
The Use of the Adjoint Method for Solving Typical Optimization Problems in Multibody Dynamics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The present paper illustrates the potential of the adjoint method for a wide range of optimization problems in multibody dynamics such as inverse dynamics and parameter identification. Although the equations and matrices ...
The Discrete Adjoint Gradient Computation for Optimization Problems in Multibody Dynamics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The adjoint method is a very efficient way to compute the gradient of a cost functional associated to a dynamical system depending on a set of input signals. However, the numerical solution of the adjoint differential ...
The Adjoint Method for Time-Optimal Control Problems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this article, we discuss a special class of time-optimal control problems for dynamic systems, where the final state of a system lies on a hyper-surface. In time domain, this endpoint constraint may be given by a scalar ...
Time-Optimal Control of Dynamic Systems Regarding Final Constraints
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Within the framework of this article, we pursue a novel approach for the determination of time-optimal controls for dynamic systems under observance of end conditions. Such problems arise in robotics, e.g., if the control ...