A State Feedback Controller Based on GCC Algorithm against Wind‐Induced Motion for High‐Rise Buildings with Parametric Uncertainties

Abstract

High-rise buildings with an active mass damper/driver (AMD) system generally use a simplified mathematical model. e result leads to parametric uncertainties including the stiffness and mass variations exist, and the accuracy of its controller is seriously affected. In view of the above uncertainties, based on a Lyapunov stability theory and linear matrix inequality (LMI) approach, a state feedback controller based on the guaranteed cost control (GCC) algorithm is proposed in this paper. A ten-storey frame with an AMD system is taken as a numerical example, and its control effect and AMD parameters are viewed as the control indexes. e performance of the proposed robust controller is compared with a conventional controller based on the classical LQR algorithm. e analysis results show that the new controller effectively suppresses the dynamic responses of high-rise buildings with parametric uncertainties and keeps the AMD parameters stable. Finally, a four-storey steel experimental frame with an AMD system is used to verify the correctness of the conclusions.

Overlapping Decentralized Guaranteed Cost Control Method for Discrete-Time Systems of Building Structures with Uncertain Parameters under Earthquake Action

“…In addition, a new time-delay compensation controller based on the guaranteed cost control (GCC) algorithm is proposed to consider multilevel higher-order CSI effects. Li et al [27] proposed a state feedback controller based on guaranteed cost control (GCC) algorithm according to a Lyapunov stability theory and linear matrix inequality (LMI) method. A ten-story frame with AMD system is analyzed.…”

“…e paper studies the discrete-time system with uncertain parameters and proposes the overlapping decentralized guaranteed cost control algorithm based on state feedback. Taking a 9-story building structure under earthquake action as the research object, firstly, the guaranteed cost control equations in the discrete-time domain are derived considering the existence of uncertainties in the parameters of mass, damping, and stiffness of the structural system [27,28]. e system is extended and decoupled using the inclusion principle and then discretized, and subcontrollers are designed with guaranteed cost control algorithms.…”