Backstepping control of nonlinear building structures with hysteretic and frictional dynamics

2008

SPIE Proceedings

Self Cite

In this paper, an intelligent control methodology is proposed to mitigate earthquake vibrations in a building. The structure object of study is a 10-story building whose base is isolated by means of a passive actuator and an MR damper. The system has uncertain parameters and nonmeasurable variables that must be accounted for in order to gain good control performance. Besides, the system is subject to unknown perturbations (incoming earthquakes). An adaptive backstepping controller is designed to generate the actuator control signal based on the base velocity and displacement measurements as well as on the dynamics of the base isolation system. Uncertainty in structure stiffness and damping coefficients are compensated by parameter adaptation. The MR damper can be modeled by the well known Bouc-Wen model. However, this model contains an unmeasurable variable, z, that describes the hysteretic behavior, so it must be estimated. A neural network approximator is proposed to estimate the unmeasurable variable. This way, the hysteresis effect is modeled by the neural network. The control performance is verified by simulations performed in MATLAB/Simulink using common earthquakes such as those of El Centro and Taft.

Section: Introductionmentioning

confidence: 98%

Vibration control of hysteretic systems via neural network adaptive backstepping

2008

SPIE Proceedings

Self Cite

“…Other control theories have also been applied to mitigate vibrations in structures equipped with MR dampers. Some of them include bang-bang control (Nagarajaiah, Narasimhan, Agrawal, and Tang 2006), sliding mode control (Moon, Bergman, and Voulgaris 2003), backstepping control (Luo, Villamizar, and Vehi 2007), intelligent control such as fuzzy logic control (Kim and Roschke 2006) and neuro fuzzy control (Schurter and Roschke 2001). Recently, in Zapateiro et al (2009), a neural network-backstepping controller for a class of semi-active vehicle suspension systems equipped with MR dampers was presented.…”

Section: Introductionmentioning

confidence: 99%

An LMI approach to vibration control of base-isolated building structures with delayed measurements

Karimi

International Journal of Systems Science

2010

In this article, we address a convex optimisation approach to the problem of state-feedback H 1 control design for vibration reduction of base-isolated building structures with delayed measurements, where the delays are time-varying and bounded. An appropriate Lyapunov-Krasovskii functional and some free-weighting matrices are utilised to establish some delay-range-dependent sufficient conditions for the design of desired controllers in terms of linear matrix inequalities. The controller, which guarantees asymptotic stability and an H 1 performance, simultaneously, for the closed-loop system of the structure, is then developed. The performance of the controller is evaluated by means of simulations in MATLAB/Simulink.

“…Backstepping control in systems with MR dampers was first proposed by Villamizar et al [18] and Luo et al [19]. Backstepping control design consists of selecting appropriate functions of state variables as pseudocontrol inputs for lower-dimension subsystems of the overall system.…”

Section: Introductionmentioning

confidence: 99%

Real-time hybrid testing of semiactive control strategies for vibration reduction in a structure with MR damper

Karimi

Struct. Control Health Monit.

et al. 2009

Magnetorheological (MR) dampers have been widely studied and employed to solve the vibration problem in structures such as buildings and bridges. It is known that MR dampers can generate high damping forces with low-energy requirements and low-cost productions. However, the complex dynamics that characterize MR dampers make difficult the control design to achieve the vibration reduction goals in an efficient manner. In this paper, semiactive controllers based on the backstepping and quantitative feedback theory techniques are proposed and their performances are compared with each other on the problem of vibration control in a structure with an MR damper. They are applied to a large-scale three-story building with an MR damper at its first floor subject to seismic motions. The performance of the proposed controllers is experimentally evaluated by means of real-time hybrid testing scheme that accounts for time delays and actuator dynamics, allowing for the test of velocity-dependent devices.