Unified approach to optimization techniques in Shannon theory

Author(s):  
P. Harremoes ◽  
F. Topsoe
1991 ◽  
Vol 22 (3) ◽  
pp. 223-241
Author(s):  
GUY JUMARIE

Many authors have suggested different measures of the amount of uncertainty involved in fuzzy sets, but most of these concepts suffer from drawbacks: mainly, they are indexes of fuzziness rather than measures of uncertainty, and they are not fully consistent with Shannon theory. The question is herein once more considered by combining the information theory of deterministic functions, recently initiated by the author, with the viewpoint of interval analysis; and one so derive the new concept of "uncertainty of order c of fuzzy sets". It is shown that it satisfies the main properties which are desirable for a measure of uncertainty. Some topics are outlined, such as informational distance between fuzzy sets, and mutual infonnation between fuzzy sets for instance. One so has at hand a unified approach to Shannon information expressed in terms of probability, and to fuzzy information described by weighting coefficients commonly referred to as possibility distribution.


Author(s):  
Y. Lakshmi Srinivas ◽  
Steven N. Kramer

Abstract This paper presents an extremely fast and reliable sensor-based algorithm that utilizes a combination of optimization techniques and heuristics to accomplish obstacle avoidance and path planning of mobile robots in real-time. This algorithm assumes no previous knowledge of the workspace and is capable of dealing with arbitrarily shaped obstacles with arbitrary motion characteristics. The concept of feasible circle is introduced to determine an obstacle-free subspace around the robot using information which can be obtained from distance sensors. This algorithm employs a unified approach and the modified Lagrange Multiplier method of optimization. A variable penalty, based on the distance of approach is used to keep the robot away from obstacles and the concepts of artificial obstacles and virtual obstacles are introduced to simplify the representation of the known workspace and to control the path of the robot. It is shown that the algorithm is general and can handle concave obstacles, overlapping obstacles, crowded workspaces as well as convex obstacles. The flexibility of the algorithm enables it to be easily integrated with different control strategies. The computational complexity is considerably less than for many existing algorithms, which makes the algorithm attractive for real-time applications. The algorithm is further extended to dynamic obstacles of arbitrary shapes and motion characteristics. Several case studies are presented to illustrate the capabilities of the algorithm.


2001 ◽  
Vol 20 (2) ◽  
pp. 159-169 ◽  
Author(s):  
M. Ganesh Madhan ◽  
P. R. Vaya ◽  
N. Gunasekaran

2020 ◽  
Vol 14 (4) ◽  
pp. 7446-7468
Author(s):  
Manish Sharma ◽  
Beena D. Baloni

In a turbofan engine, the air is brought from the low to the high-pressure compressor through an intermediate compressor duct. Weight and design space limitations impel to its design as an S-shaped. Despite it, the intermediate duct has to guide the flow carefully to the high-pressure compressor without disturbances and flow separations hence, flow analysis within the duct has been attractive to the researchers ever since its inception. Consequently, a number of researchers and experimentalists from the aerospace industry could not keep themselves away from this research. Further demand for increasing by-pass ratio will change the shape and weight of the duct that uplift encourages them to continue research in this field. Innumerable studies related to S-shaped duct have proven that its performance depends on many factors like curvature, upstream compressor’s vortices, swirl, insertion of struts, geometrical aspects, Mach number and many more. The application of flow control devices, wall shape optimization techniques, and integrated concepts lead a better system performance and shorten the duct length.  This review paper is an endeavor to encapsulate all the above aspects and finally, it can be concluded that the intermediate duct is a key component to keep the overall weight and specific fuel consumption low. The shape and curvature of the duct significantly affect the pressure distortion. The wall static pressure distribution along the inner wall significantly higher than that of the outer wall. Duct pressure loss enhances with the aggressive design of duct, incursion of struts, thick inlet boundary layer and higher swirl at the inlet. Thus, one should focus on research areas for better aerodynamic effects of the above parameters which give duct design with optimum pressure loss and non-uniformity within the duct.


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