Existence of Overtaking Optimal Solutions for Nonautonomous Control Systems

1987 ◽  
pp. 156-179
Author(s):  
D. A. Carlson ◽  
A. Haurie
Keyword(s):  
Control Systems ◽  
Optimal Solutions

scholarly journals Realtime production scheduling and control systems in smart industry

Impact ◽  
2020 ◽  
Vol 2020 (8) ◽  
pp. 60-61
Author(s):  
Wei Weng
Keyword(s):  
Control Systems ◽  
Real Time ◽  
Production Scheduling ◽  
Production Control ◽  
Optimal Solution ◽  
Scheduling Problem ◽  
Optimal Solutions ◽  
Scheduling Problems ◽  
Smart Industry ◽  
And Control

For a production system, 'scheduling' aims to find out which machine/worker processes which job at what time to produce the best result for user-set objectives, such as minimising the total cost. Finding the optimal solution to a large scheduling problem, however, is extremely time consuming due to the high complexity. To reduce this time to one instance, Dr Wei Weng, from the Institute of Liberal Arts and Science, Kanazawa University in Japan, is leading research projects on developing online scheduling and control systems that provide near-optimal solutions in real time, even for large production systems. In her system, a large scheduling problem will be solved as distributed small problems and information of jobs and machines is collected online to provide results instantly. This will bring two big changes: 1. Large scheduling problems, for which it tends to take days to reach the optimal solution, will be solved instantly by reaching near-optimal solutions; 2. Rescheduling, which is still difficult to be made in real time by optimization algorithms, will be completed instantly in case some urgent jobs arrive or some scheduled jobs need to be changed or cancelled during production. The projects have great potential in raising efficiency of scheduling and production control in future smart industry and enabling achieving lower costs, higher productivity and better customer service.

Comparison of Combined Embodiment Design and Control Optimization Strategies Using Optimality Conditions

2001 ◽  
Author(s):  
Julie A. Reyer ◽  
Hosam K. Fathy ◽  
Panos Y. Papalambros ◽  
A. Galip Ulsoy
Keyword(s):  
Optimality Conditions ◽  
Control Systems ◽  
Optimal Solutions ◽  
System Optimum ◽  
Embodiment Design ◽  
Control Optimization ◽  
And Control ◽  
Fully Coupled ◽  
True System

Abstract Optimal embodiment design and control systems can be solved using several different strategies. This paper considers whether those strategies will find the true system optimum. Optimality conditions determine whether a point is an optimum of a system. This paper presents a development and comparison of the optimality conditions for several methods of optimizing fully coupled embodiment design and control systems. The results demonstrate that the methods do not possess the same optimality conditions and therefore will not converge to the same optimal solutions, often leading to sub-optimal solutions. Since these strategies have been used successfully to solve various examples, criteria are developed to determine when the various methods will find the true system optimum.

Optimal Solutions of Linear Control Systems with Nonperiodic Convex Integrands

1997 ◽  
Vol 22 (3) ◽  
pp. 726-746 ◽  
Author(s):  
Alexander J. Zaslavski ◽  
Arie Leizarowitz
Keyword(s):  
Control Systems ◽  
Linear Control ◽  
Linear Control Systems ◽  
Optimal Solutions

scholarly journals Pareto optimality for nonlinear infinite dimensional control systems

1990 ◽  
Vol 13 (2) ◽  
pp. 233-242
Author(s):  
Evgenios P. Avgerinos ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Control Systems ◽  
Pareto Optimality ◽  
Pareto Optimal ◽  
Pareto Optimal Solutions ◽  
Control Constraints ◽  
Optimal Solutions ◽  
Integral Criterion ◽  
Dimensional Control ◽  
Infinite Dimensional ◽  
State Dependent

In this note we establish the existence of Pareto optimal solutions for nonlinear, infinite dimensional control systems with state dependent control constraints and an integral criterion taking values in a separable, reflexive Banach lattice. An example is also presented in detail. Our result extends earlier ones obtained by Cesari and Suryanarayana.

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