In this paper, the problem of actuator saturation control of a benchmark structure using hedge-algebras-based fuzzy controller (HAC) is presented. In HAC, linguistic values of linguistic terms are obtained through semantically quantifying mappings (SQMs) based on few fuzziness parameters of each linguistic variable without using any fuzzy set and inherent order relationships between linguistic values of each linguistic variable are always ensured. | Vietnam Journal of Mechanics, VAST, Vol. 37, No. 2 (2015), pp. 91 – 104 DOI: ACTUATOR SATURATION CONTROL OF A BENCHMARK STRUCTURE USING HEDGE-ALGEBRAS-BASED FUZZY CONTROLLER Bui Hai Le Hanoi University of Science and Technology, Hanoi, Vietnam E-mail: Received October 29, 2014 Abstract. In this paper, the problem of actuator saturation control of a benchmark structure using hedge-algebras-based fuzzy controller (HAC) is presented. In HAC, linguistic values of linguistic terms are obtained through semantically quantifying mappings (SQMs) based on few fuzziness parameters of each linguistic variable without using any fuzzy set and inherent order relationships between linguistic values of each linguistic variable are always ensured. Hence, the design of a HAC leads to determining parameters of SQMs, which are fuzziness measures of primary terms and linguistic hedges occurring in a fuzzy model. As a case study, a HAC is designed to actuator saturation control of a benchmark structure with active bracing system (ABS) subjected to earthquake excitation. Control performance of the controller is also discussed in order to shown advantages of the proposed method. Keywords: Structural active control, actuator saturation, hedge algebras, hedge-algebrasbased fuzzy controller, earthquake excitation. 1. INTRODUCTION The reduction of response quantities such as velocities, deflections, and forces induced by environmental dynamic loadings (., wind and earthquake) is very necessary in order to increase the strength and safety of structures. The reduction of undesired vibration of structures has become an attractive subject of research, and many structural control methods have been implemented in practice [1]. Fuzzy set theory introduced by Zadeh in 1965 has been widely applied in many real situations because it is a useful mathematical tool to model uncertain and vague data. Many researches on vibration control of structures .
