A new approach for tuning control rule based on hedge algebras theory and application in structural vibration control

Abstract

The hedge algebras theory has the potential to make significant applications in the field of computational intelligence. The purpose of the present study is to improve the control performance of the hedge algebras–based controller by tuning its control rules and apply the hedge algebras–based controller using the tuned rule base in vibration control of structures. The authors propose a “tuning coefficient” to express the impact of each rule of the controller in the control process. These control rules are adjusted by optimizing the above tuning coefficient. The tuned controller is then used to reduce the dynamic response of structures subjected to different excitations. The adjusted rule base is more appropriate for the model to be controlled, and it allows enhancing the control performance of the system. The proposed approach is uncomplicated and transparent, and it allows preserving the monotonous feature of the rule base.

Information and Mathematical Structures Contained in the Natural Language Word Domains and Their Applications

“…The results and analysis obtained above, and the results achieved in [15,16,17,18,19,20,21,22,23,25,26,27,28,29,30], most published in international journals ISI indexed, justify the meaning of discovering L-variables' word domain semantic structures and their quantification in problem-solving control.…”

“…The HA-methodology was applied first in the study [15], which proposes an HA-based method to design an optimized controller to solve an inverted pendulum control problem. It motivated many studies to develop HA-based controllers for controlling active vibration control of uncertain structures against earthquake [17,18,19,20,21,22,23], a self-excited induction generator [24], a grid synchronization [25], and the speed in a Stand-Alone WECS [26,27], and in solving control problems in the industry [28,29,30]. In the framework of this section, we summarize only some of these studies…”

“…, a n ) ∈ [0, 1] n . In general, there is a wide selection of such methods, including linear interpolation-exploration methods, e.g., bilinear interpolation-exploration-based methods [17,18,19,20,23,24], explicit linear formulas [21,22], or non-linear ones whose ideas are described as follows, when A falls in an n-cube, one can develop methods reasoning based on a weighted sum of the f Y -values at the n-cube's vertices [25,27]. Especially, these interpolation-exploration methods can preserve the monotonicity of their LRB.…”

“…The study [15] to solve an inverted pendulum problem is the first one to show the applicability of HAs in fuzzy control. Then, there are many works applying the HA-methodology to solve many different problems in this field, such as a swing-up control problem [16], vibration control problems of high-rise buildings subjected to seismic loads [17,18,19,20,21,22,23], and fuzzy control problems in the industry [28,29,30].…”

“…These achieved theoretical results sufficiently form a necessary formalized basis for solving application problems in different fields. One can find its applications in cybernetics [15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30], in classification and regression [31,32,33], decision making [38,39], multi-channel image processing [37], robotics [45,46,47,48,49], networking [43,44], fuzzy linguistic time series [40,41,42], linguistic data summaries [35,36], databases and object-oriented databases based on hedge algebraic semantic [58,59,60], and it is not the end.…”