Optimal sliding mode control of single degree-of-freedom hysteretic structural system

Baradarannia, Mahdi; Alizadeh, Ghasem; Khanmohammadi, Sohrab; Azar, Bahman Farahmand

doi:10.1016/j.cnsns.2012.01.008

Cited by 16 publications

(6 citation statements)

References 29 publications

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“…For the nonlinear restoring force

boldF ((),, \dot{boldx}, x)

, the smooth Bouc–Wen hysteresis model has been widely utilized for numerically simulating structural nonlinearity in both structural control and health monitoring . By using the Bouc–Wen model, the corresponding restoring force

f_{i} ((),, Y_{i}, {\overset{Y}{true}}_{i})

on the i th floor is then expressed as

f_{i} ((),, Y_{i}, {\overset{Y}{true}}_{i}) = α_{i} k_{i} Y_{i} + ((), 1 - α_{i}) k_{i} D_{y, i} Z_{i},

{\dot{Z}}_{i} = \frac{{\dot{Y}}_{i} - ((), β_{i} (||, {\overset{Y}{true}}_{i}) {|Z_{i}|}^{n_{i} - 1} Z_{i} + γ_{i} {\dot{Y}}_{i} {|Z_{i}|}^{n_{i}})}{D_{y, i}},

where k , α , and D y represent the pre‐yield stiffness, post‐yield ratio, and the yield deformation, respectively, and Z denotes the hysteretic component as a function of loop parameters, such as β , γ , and n .…”

Section: Formulationmentioning

confidence: 99%

“…During recent years, representative progress has been reported on feedback control of nonlinear or hysteresis structures, especially in the fundamental study using single‐degree‐of‐freedom (SDOF) systems and in the applications of tuned mass damper and base isolation . In terms of the controlled system regarding complexity, the first level is the linear system mostly used by classical feedback control, and the nonlinear or hysteretic systems may be the second level, whereas the third level of uncertain nonlinear structures has been less investigated .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive control of earthquake-excited nonlinear structures with real-time tracking on prescribed performance criteria

Shan

Ouyang

Shi

2018

Struct Control Health Monit

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A model reference adaptive control method is proposed to suppress the nonlinear responses of earthquake-excited structures with the proposed implementation of performance tracking criteria. The model reference concept is adopted to propose a comprehensive framework for real-time tracking on prescribed performances, and a deterministic reference model is presented to explicitly represent the prior-designed structural performances. The tracking error and the time-varying adaptive control law are systematically presented and designed by using the backstepping theory and the Lyapunov stability analysis.Little prior or explicit knowledge of structural nonlinear behavior is considered for the proposed adaptive backstepping law. Two performance schemes, inspired by the classical linear quadratic regulator control theory and the unknown disturbance cancelation, are developed. Illustrative examples of a bilinear single-degree-of-freedom system and a seismically base-isolated benchmark building structure are employed with a detail illustration and discussion about the control performance of the proposed methodology. Finally, an additional parametric study on the issues of the actuator saturation, the optimum parameter selection, and the switching delay is presented and discussed.

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“…For the nonlinear restoring force

boldF ((),, \dot{boldx}, x)

f_{i} ((),, Y_{i}, {\overset{Y}{true}}_{i})

on the i th floor is then expressed as

f_{i} ((),, Y_{i}, {\overset{Y}{true}}_{i}) = α_{i} k_{i} Y_{i} + ((), 1 - α_{i}) k_{i} D_{y, i} Z_{i},

{\dot{Z}}_{i} = \frac{{\dot{Y}}_{i} - ((), β_{i} (||, {\overset{Y}{true}}_{i}) {|Z_{i}|}^{n_{i} - 1} Z_{i} + γ_{i} {\dot{Y}}_{i} {|Z_{i}|}^{n_{i}})}{D_{y, i}},

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive control of earthquake-excited nonlinear structures with real-time tracking on prescribed performance criteria

Shan

Ouyang

Shi

2018

Struct Control Health Monit

View full text Add to dashboard Cite

show abstract

“…The representative hysteresis models include Preisach model, 6 Prandtl–Ishlinskii model, 7 backlash-like model, 8 and Bouc–Wen model. 9–11 Preisach model and Prandtl–Ishlinskii model both have a complex mathematical structure with multiple parameters, while backlash-like model lacks the capability to completely describe the hysteresis behaviors. Different from the former three model, Bouc–Wen model has received considerable attention due to the ability to analytically characterize a range of shapes of hysteretic loops.…”

Section: Introductionmentioning

confidence: 99%

A nonlinear observer-based adaptive robust control approach for a class of uncertain asymmetric hysteretic systems

Zhang

Xue

Luo

2020

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article presents a robust control scheme for a class of asymmetric hysteretic systems with both parametric uncertainties and external disturbances, where an asymmetric Bouc–Wen model is adopted to represent the hysteretic behavior. A novel adaptive non-singular terminal sliding mode control methodology with hysteretic state estimation is proposed to achieve finite-time stabilization of such systems for vibration suppressions. In the proposed control framework, a hysteresis observer is constructed to capture the unmeasurable hysteretic force, and the adaptive control technique is used to accommodate the hysteretic uncertainties and unknown system parameters. Moreover, a fast terminal sliding mode controller without the singularity problem is designed to improve the robustness and dynamic performance of such systems, where the terminal sliding mode function is proposed to guarantee the finite-time convergence of the system states, and the reaching law with fractional power is constructed to accelerate the occurrence of the corresponding terminal sliding mode surface. Meanwhile, the finite-time stability of the whole closed-loop system is also analyzed. Finally, numerical simulation results deployed on a magnetorheological elastomer vibration isolation system are provided to validate the effectiveness of the proposed control algorithm.

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“…Yang (1995) applied SMC to nonlinear and hysteretic civil engineering structures. Baradaran-Nia et al (2012) presented the design of an optimal SMC for a nonlinear single degree of freedom structural system with the Bouc–Wen model excited by the earthquake.…”

Section: Introductionmentioning

confidence: 99%

Study on control strategies for an antenna servo system on a carrier under large disturbance

Cheng

2018

Transactions of the Institute of Measurement and Control

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In this paper, control strategies and vibration isolation methods are investigated in order to enhance the attitude control accuracy of an antenna servo system on a carrier under large disturbance. First, the multi-body dynamical equations of the antenna servo system on a carrier incorporated with six wire-cable vibration isolators are derived. Then, an improved adaptive variable-rated exponential reaching law is proposed, and the non-singular terminal sliding mode control is designed based on the nonlinear multi-body model. Finally, simulations are carried out and results show that excellent control accuracies for both the azimuth and the pitch of the antenna can be achieved by the proposed control method, specifically with a shorten reaching time in the cases of holding a fixed angle and tracking a sinusoidal motion that is better than the existing adaptive variable-rated exponential reaching law. Furthermore, the six wire-cable vibration isolators with hysteretic characteristics of restoring forces are adopted that can effectively isolate the large disturbance transmitted from the carrier to the antenna servo system and are shown to be able to further improve the attitude control accuracy.

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Optimal sliding mode control of single degree-of-freedom hysteretic structural system

Cited by 16 publications

References 29 publications

Adaptive control of earthquake-excited nonlinear structures with real-time tracking on prescribed performance criteria

Adaptive control of earthquake-excited nonlinear structures with real-time tracking on prescribed performance criteria

A nonlinear observer-based adaptive robust control approach for a class of uncertain asymmetric hysteretic systems

Study on control strategies for an antenna servo system on a carrier under large disturbance

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