New Optimal Control Algorithms for Structural Control

Yang, Jann N.; Akbarpour, Abbas; Ghaemmaghami, Peiman

doi:10.1061/(asce)0733-9399(1987)113:9(1369)

Cited by 271 publications

(145 citation statements)

References 6 publications

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“…When this theory is applied, the external excitation is assumed to be a white noise, at least, it has simple statistical characteristics [4,5]. In the instantaneous optimal control method, such conditions are not required by introducing a time-dependent index function, but the required control forces which are regulated by the response may possibly exceed the capacities of control devices [6]. In this paper, a &Discrete-Optimizing Control Method' is proposed and adopted to determine the control forces step by step [7].…”

Section: Introductionmentioning

confidence: 99%

Effective location of active control devices for building vibrations caused by periodic excitation acting on intermediate storey

Xing

Tachibana

Inoue

2000

Earthquake Engng. Struct. Dyn.

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SUMMARYIn order to investigate ways of reducing vibrations of building structures subjected to excitation acting on intermediate storey, active vibration controls are conducted with active control devices installed on di!erent #oors of the structure, and the e!ective location of control devices is also investigated. In this paper, we propose a new &Discrete-Optimizing Control Method' for vibration control. The control forces are determined analytically which makes the &discrete-index function' minimum. Through numerical simulation, the Discrete-Optimizing Control Method is proved to be an e!ective control method. The response reduction e!ects are the best when the control devices are concentrated on the adjacent three #oors of the vibration source.

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Section: Introductionmentioning

confidence: 99%

Effective location of active control devices for building vibrations caused by periodic excitation acting on intermediate storey

Xing

Tachibana

Inoue

2000

Earthquake Engng. Struct. Dyn.

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“…Let F be a stabilizing full state feedback gain matrix such that (a) the closed-loop system is asymptotically stable and (b) the open-loop transfer function meets the given frequency dependent specifications. The state feedback control is (5) and the open-loop transfer function when the loop is broken at the input point is (6) where…”

Section: Modified Lqg/ltr Control Methodology In Active Structural Comentioning

confidence: 99%

“…Some of the widely used structural control methods are explained in references [2][3][4]. Among these methods, the classical linear-quadratic-regulator (LQR) optimal control is a simple and effective approach in producing excellent response reduction [5][6][7][8][9]. Moreover, the LQR optimal control method has impressive properties of robustness, including guaranteed classical gain margins of -6dB to +¥dB and phase margins of ±60º in all channels [10].…”

Section: Introductionmentioning

confidence: 99%

Modified LQG/LTR Control Methodology in Active Structural Control

Yan

Wang

Pan

et al. 2003

Journal of Low Frequency Noise, Vibration and Active Control

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This paper presents a new active structural control design methodology comparing the conventional linear-quadratic-Gaussian synthesis with a looptransfer-recovery (LQG/LTR) control approach for structures subjected to ground excitations. It results in an open-loop stable controller. Also the closedloop stability can be guaranteed. More importantly, the value of the controller's gain required for a given degree of LTR is orders of magnitude less than what is required in the conventional LQG/LTR approach. Additionally, for the same value of gain, the proposed controller achieves a much better degree of recovery than the LQG/LTR-based controller. Once this controller is obtained, the problems of control force saturation are either eliminated or at least dampened, and the controller band-width is reduced and consequently the control signal to noise ratio at the input point of the dynamic system is increased. Finally, numerical examples illustrate the above advantages.

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“…The instantaneous optimal control algorithms proposed in Ref. 4) were classified as open-loop, closed-loop and open-closed-loop controls ; but, the control efficiencies were identical because the same performance index was minimized. This is referred to as Yangs optimal control algorithm.…”

Section: Introductionmentioning

confidence: 99%

“…A time-dependent performance index similar to that defined in Ref. 4) is used to obtain the control vector. The instantaneous optimal control algorithms proposed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Optimal Control of Seismic Response of Structures

Sato

Toki

Sugiyama

1990

Doboku Gakkai Ronbunshu

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A new closed-open-loop optimal control algorithm is proposed that has been derived by minimizing the sum of the quadratic time-dependent performance index and the seismic energy input to the structural system. This new control law provides feasible control algorithms that can easily be implemented for applications to seismic-excited structures. We developed optimal control algorithms, taking into account the nonlinearity of the structural system and the effect of the time delay, for applying a control force to a structural system subjected to general dynamic loads. These optimal algorithms are simple and reliable for on-line control operations and effective for a structural system with a base isolation mechanism. The control efficiency affected by two weighting matrices included in the performance index is investigated in detail. Numerical examples are worked out to demonstrate the control efficiency of the proposed algorithms.

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New Optimal Control Algorithms for Structural Control

Cited by 271 publications

References 6 publications

Effective location of active control devices for building vibrations caused by periodic excitation acting on intermediate storey

Effective location of active control devices for building vibrations caused by periodic excitation acting on intermediate storey

Modified LQG/LTR Control Methodology in Active Structural Control

Optimal Control of Seismic Response of Structures

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