Research Papers

Adaptive Dynamic Surface Control of Bouc–Wen Hysteretic Systems

[+] Author and Article Information
Mansour Peimani

Department of Electrical Engineering,
Science and Research Branch,
Islamic Azad University,
Tehran 1477893855, Iran
e-mail: m.peimani@srbiau.ac.ir

Mohammad Javad Yazdanpanah

Control and Intelligent Processing
Center of Excellence,
School of Electrical and Computer Engineering,
University of Tehran,
Tehran 1439957131, Iran
e-mail: yazdan@ut.ac.ir

Naser Khaji

Faculty of Civil and Environmental Engineering,
Tarbiat Modares University,
Tehran 14115-397, Iran
e-mail: nkhaji@modares.ac.ir

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 26, 2015; final manuscript received April 4, 2016; published online June 6, 2016. Assoc. Editor: M. Porfiri.

J. Dyn. Sys., Meas., Control 138(9), 091007 (Jun 06, 2016) (7 pages) Paper No: DS-15-1345; doi: 10.1115/1.4033410 History: Received July 26, 2015; Revised April 04, 2016

This paper develops an adaptive dynamic surface algorithm for designing the control law for uncertain hysteretic structural systems with seismic disturbances that can be converted to a semi strict feedback form. Hysteretic behavior is usually described by Bouc–Wen model for hysteretic structural systems like base isolation systems. Adaptive sliding mode and adaptive backstepping algorithms are also studied and simulated for comparison purposes. The presented simulation results indicate the effectiveness of the proposed control law in reducing displacement, velocity and acceleration responses of the structural system with acceptable control force. Moreover, using dynamic surface control (DSC), the study analyzes the stability of the controlled system based on the Lyapunov theory.

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Grahic Jump Location
Fig. 2

(a) Variation of nondimensional auxiliary variable, ω(t) with respect to the position, x(t). (b) Variation of restoring force, Φ(t) with respect to the position, x(t).

Grahic Jump Location
Fig. 1

Schematic representation of DSC

Grahic Jump Location
Fig. 3

Time responses of the uncontrolled hysteretic structure: (a) displacement, (b) velocity, (c) acceleration, and (d) Taft earthquake acceleration record

Grahic Jump Location
Fig. 4

Time histories of the controlled system using ADSC: (a) displacement, (b) velocity, (c) acceleration, and (d) Control signal (acceleration, u(t)/m)

Grahic Jump Location
Fig. 5

Performance criteria J9−J12



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