Workshop on Set-valued Numerical Analysis and Robust Optimal Control

SHAPLEY FUNCTION BASED INTERVAL-VALUED INTUITIONISTIC FUZZY VIKOR TECHNIQUE FOR CORRELATIVE MULTI-CRITERIA DECISION MAKING PROBLEMS

Interval-valued intuitionistic fuzzy set (IVIFS) has developed to cope with the uncertainty of imprecise human thinking. In the present communication, new entropy and similarity measures for IVIFSs based on exponential function are presented and compared with the existing measures. Numerical results reveal that the proposed information measures attain the higher association with the existing me...

ROBERT BAIER AND MATTHIAS GERDTS Intensive Course on Set-Valued Numerical Analysis and Optimal Control

Optimal Robust Control for a Series Elastic Actuator assisting Knee Joint

Rehabilitation and assistive systems such as rotary series elastic actuators (RSEA) should provide the desired torque precisely. In this paper, to improve the life quality of those who suffer from weak knees, the control problem of a rotary series elastic actuator (RSEA) has been studied in order to generate soft human walking motion. These actuators produce the require torque, but the nonlinea...

Nonsmooth Newton Methods for Set-Valued Saddle Point Problems

We present a new class of iterative schemes for large scale set– valued saddle point problems as arising, e.g., from optimization problems in the presence of linear and inequality constraints. Our algorithms can be either regarded as nonsmooth Newton–type methods for the nonlinear Schur complement or as Uzawa–type iterations with active set preconditioners. Numerical experiments with a control ...

Numerical Solution of Optimal Control Problems with Convex Control Constraints

We study optimal control problems with vector-valued controls. As model problem serves the optimal distributed control of the instationary Navier-Stokes equations. In the article, we propose a solution strategy to solve optimal control problems with pointwise convex control constraints. It involves a SQP-like step with an imbedded active-set algorithm. The efficiency of that method is demonstra...