A CONTROL PROBLEM OFF THE BEATEN PATH: THE (OPTIMAL) AUTOMATIC TRANSMISSION FOR ROAD VEHICLES††This work was partially supported by a grant from Control Data.

Author(s):  
M. Pachter
Author(s):  
Konstantinos Makantasis ◽  
Markos Papageorgiou

A path-planning algorithm for automated road vehicles on multi-lane motorways is derived from the opportune formulation of an optimal control problem. In this framework, the objective function to be minimized contains appropriate respective terms to reflect: the goals of the vehicle advancement; passenger comfort; prevailing traffic rules (e.g., overtaking only from left); and the avoidance of obstacles (other moving vehicles) and of the vehicle departing from the road. Each term is coupled with a weighting factor that reflects its comparative importance. For the numerical solution of the optimal control problem, a very efficient feasible direction algorithm is used. To avoid local minima, a simplified dynamic programming algorithm is also conceived to deliver the initial guess trajectory for the optimal control algorithm. With low computation times, the approach is readily executable within a model-predictive control frame. The performance of the proposed algorithm is illustrated using two typical driving scenarios.


2020 ◽  
Vol 26 ◽  
pp. 78
Author(s):  
Thirupathi Gudi ◽  
Ramesh Ch. Sau

We study an energy space-based approach for the Dirichlet boundary optimal control problem governed by the Laplace equation with control constraints. The optimality system results in a simplified Signorini type problem for control which is coupled with boundary value problems for state and costate variables. We propose a finite element based numerical method using the linear Lagrange finite element spaces with discrete control constraints at the Lagrange nodes. The analysis is presented in a combination for both the gradient and the L2 cost functional. A priori error estimates of optimal order in the energy norm is derived up to the regularity of the solution for both the cases. Theoretical results are illustrated by some numerical experiments.


1985 ◽  
Vol 53 (03) ◽  
pp. 423-427 ◽  
Author(s):  
Stephen R Hanson ◽  
Laurence A Harker

SummarySuloctidil has been evaluated in the baboon for its antithrombotic efficacy using models of both acute and chronic arterial thrombogenesis. Acute thrombus formation was initiated by Dacron vascular grafts inserted as extension segments into chronic arteriovenous shunts. 111In-platelet deposition was measured by scintillation camera imaging for one hour. The results after oral administration of suloctidil (100 mg/kg/d in two divided doses) were not different from control studies. Moreover, concurrent heparin anticoagulation did not affect 111In-platelet deposition compared with control data. In contrast, ticlopidine (20 mg/ kg/d) significantly decreased platelet deposition that was reduced further by the addition of heparin.Chronic arterial-thromboembolism was initiated by segments of polyurethane (Biomer) cannula introduced into chronic arteriovenous shunts. Thrombus formation by the polyurethane cannula was measured as 111In-platelet turnover (corrected for removal of senescent platelets). Cannula platelet consumption was unaffected by suloctidil (20 mg/kg/d given in two divided doses for two days preceding and throughout the period of platelet survival measurement). In contrast, dipyridamole (10 mg/ kg/d) and sulfinpyrazone (100 mg/kg/d) completely interrupted cannula platelet consumption.We conclude that suloctidil probably has little or no effect on platelet-dependent thrombus formation.


Author(s):  
L.H. Holthuijsen ◽  
N. Booij ◽  
M. van Endt ◽  
S. Caires ◽  
C. Guedes Soares

2020 ◽  
Vol 7 (3) ◽  
pp. 11-22
Author(s):  
VALERY ANDREEV ◽  
◽  
ALEXANDER POPOV

A reduced model has been developed to describe the time evolution of a discharge in an iron core tokamak, taking into account the nonlinear behavior of the ferromagnetic during the discharge. The calculation of the discharge scenario and program regime in the tokamak is formulated as an inverse problem - the optimal control problem. The methods for solving the problem are compared and the analysis of the correctness and stability of the control problem is carried out. A model of “quasi-optimal” control is proposed, which allows one to take into account real power sources. The discharge scenarios are calculated for the T-15 tokamak with an iron core.


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