Sequential linear programming for design of time-optimal controllers

2007 ◽  
Author(s):  
Tarunraj Singh ◽  
Puneet Singla
Keyword(s):  
Linear Programming ◽  
Sequential Linear Programming ◽  
Optimal Controllers ◽  
Time Optimal

Fuzzy Heuristics for Sequential Linear Programming

1998 ◽  
Vol 120 (1) ◽  
pp. 17-23 ◽  
Author(s):  
E. L. Mulkay ◽  
S. S. Rao
Keyword(s):  
Fuzzy Logic ◽  
Linear Programming ◽  
Path Following ◽  
Human Observer ◽  
Sequential Linear Programming ◽  
Algorithm Performance ◽  
Primal Dual ◽  
Improve Algorithm ◽  
Range Of Values ◽  
Better Than

Numerical implementations of optimization algorithms often use parameters whose values are not strictly determined by the derivation of the algorithm, but must fall in some appropriate range of values. This work describes how fuzzy logic can be used to “control” such parameters to improve algorithm performance. This concept is shown with the use of sequential linear programming (SLP) due to its simplicity in implementation. The algorithm presented in this paper implements heuristics to improve the behavior of SLP based on current iterate values of design constraints and changes in search direction. Fuzzy logic is used to implement the heuristics in a form similar to what a human observer would do. An efficient algorithm, known as the infeasible primal-dual path-following interior-point method, is used for solving the sequence of LP problems. Four numerical examples are presented to show that the proposed SLP algorithm consistently performs better than the standard SLP algorithm.

Crash worthiness design optimization using multipoint sequential linear programming

1996 ◽  
Vol 12 (4) ◽  
pp. 222-228 ◽  
Author(s):  
L. F. P. Etman ◽  
J. M. T. A. Adriaens ◽  
M. T. P. Slagmaat ◽  
A. J. G. Schoofs
Keyword(s):  
Linear Programming ◽  
Design Optimization ◽  
Sequential Linear Programming

Design of Micro-Gripper With Topology Optimal Compliant Mechanisms

2004 ◽  
Author(s):  
Shyh-Chour Huang ◽  
Chien-Ching Chiu
Keyword(s):  
Linear Programming ◽  
Compliant Mechanisms ◽  
Compliant Mechanism ◽  
New Method ◽  
Sequential Linear Programming ◽  
Analysis Method ◽  
Electrothermal Actuator ◽  
Design Considerations ◽  
Micro Gripper

The objective of this paper describes a new method to design a micro-gripper. In the paper, we use compliant mechanism actuated by micro combined V-shape electrothermal actuator to design a microgripper that the claw can clip the micro object. The compliant mechanism employs flexible to generate movement without any hinge; therefore, it is suitable for MEMS manufacture. The design of micro-gripper is accomplished in compliant mechanism with topology optimum and solved by sequential linear programming (SLP) methods. The design considerations, the analysis method, and the design results are discussed.

Time optimal feedrate generation with confined tracking error based on linear programming

2014 ◽  
Vol 28 (1) ◽  
pp. 80-95 ◽  
Author(s):  
Jianxin Guo ◽  
Qiang Zhang ◽  
Xiao-Shan Gao ◽  
Hongbo Li
Keyword(s):  
Linear Programming ◽  
Tracking Error ◽  
Time Optimal

Tuning a Hybrid Optimization Algorithm by Determining the Modality of the Design Space

2001 ◽  
Author(s):  
Kurt Hacker ◽  
John Eddy ◽  
Kemper Lewis
Keyword(s):  
Genetic Algorithm ◽  
Linear Programming ◽  
Optimization Algorithm ◽  
Design Space ◽  
Hybrid Optimization ◽  
Programming Algorithm ◽  
Sequential Linear Programming ◽  
Hybrid Optimization Algorithm ◽  
Linear Programming Algorithm ◽  
Algorithm Benchmarking

Abstract In this paper we present an approach for increasing the efficiency of a hybrid Genetic/Sequential Linear Programming algorithm. We introduce two metrics for evaluating the modality of the design space and then use this information to efficiently switch between the Genetic Algorithm and SLP algorithm. The motivation for this study is an effort to reduce the computational expense associated with the use of a Genetic Algorithm by reducing the number of function evaluations needed to find good solutions. In the paper the two metrics used to evaluate the modality of the design space are the variance in fitness of the population of the designs in the Genetic Algorithm and the error associated with fitting a response surface to the designs evaluates by the Genetic Algorithm. The effectiveness of this approach is demonstrated by considering a highly multimodal Genetic Algorithm benchmarking problem.

scholarly journals Topology optimization of induction heating model using sequential linear programming based on move limit with adaptive relaxation

Open Physics ◽  
2017 ◽  
Vol 15 (1) ◽  
pp. 845-850 ◽  
Author(s):  
Hiroshi Masuda ◽  
Yutaro Kanda ◽  
Yoshifumi Okamoto ◽  
Kazuki Hirono ◽  
Reona Hoshino ◽  
...  
Keyword(s):  
Linear Programming ◽  
Topology Optimization ◽  
Induction Heating ◽  
High Efficiency ◽  
Magnetic Energy ◽  
Design Method ◽  
Point Of View ◽  
Sequential Linear Programming ◽  
Electrical Machinery ◽  
Heating Model

AbstractIt is very important to design electrical machineries with high efficiency from the point of view of saving energy. Therefore, topology optimization (TO) is occasionally used as a design method for improving the performance of electrical machinery under the reasonable constraints. Because TO can achieve a design with much higher degree of freedom in terms of structure, there is a possibility for deriving the novel structure which would be quite different from the conventional structure. In this paper, topology optimization using sequential linear programming using move limit based on adaptive relaxation is applied to two models. The magnetic shielding, in which there are many local minima, is firstly employed as firstly benchmarking for the performance evaluation among several mathematical programming methods. Secondly, induction heating model is defined in 2-D axisymmetric field. In this model, the magnetic energy stored in the magnetic body is maximized under the constraint on the volume of magnetic body. Furthermore, the influence of the location of the design domain on the solutions is investigated.

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