Sampling Rate Optimization and Execution Time Analysis for Two-Degrees-of-Freedom Control Systems

Dynamical Systems with Two Degrees of Freedom.

Transition rate prefactors for systems of many degrees of freedom.

When a minimum on the potential energy surface is surrounded by multiple saddle points with similar energy barriers, the transition pathways with greater prefactors are more important than those that have similar energy barriers but smaller prefactors. In this paper, we present a theoretical formulation for the prefactors, computing the probabilities for transition paths from a minimum to its s...

Stochastic Optimization for Vibrational Systems of Multi-degrees of Freedom

A prohahilistic approach to design variables optimization of mechanical systems of multi ~ degrees of freedom is presented. The proposed method is based on the mathematical modelling of the systems, Optimization is understood as a calculation of the mean values and standard deviations of the random parameters chosen from the set of all design variables, which in the feasible domain minimize the...

Dynamic Optimization of Processing Systems with Mixed Degrees of Freedom

Procedures like start-up, product change-over, or shutdown of processing systems usually involve the manipulation of continuous and discrete controls. To optimize such procedures, the use of hybrid models is often appropriate to account for the change of dynamics during the transition. Some recently developed approaches for hybrid system optimization are based on mixed-integer linear programmin...

Energy Shaping for Systems with Two Degrees of Underactuation and More than Three Degrees of Freedom

We study the stabilizability, via the method of energy shaping, of a given Lagrangian system with two degrees of underactuation and with n ≥ 4 degrees of freedom. By making use of the formal theory of PDEs, we derive an involutive system of PDEs which governs energy shapability, and thus deduce, for the first time, easily verifiable conditions under which energy shaping is guaranteed. We illust...