Acceleration-Based Vibration Control of Distributed Parameter Systems Using the “Reciprocal State-Space Framework”

Kwak, Seung-Keon; Washington, Gregory; Yedavalli, Rama K.

doi:10.1006/jsvi.2001.3842

Cited by 38 publications

(47 citation statements)

References 19 publications

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“…This condition was also assumed in other related researches (Kwak et al, 2002;Abdelaziz & Valášek, 2004;Assunção et al, 2007c;Cardim et al, 2007).…”

Section: Statement Of the Problemmentioning

confidence: 63%

“…The global optimum is found with polynomial convergence time (El Ghaoui & Niculescu, 2000). The state-derivative feedback has been examined with various approaches (Abdelaziz & Valášek, 2004;Kwak et al, 2002;Duan et al, 2005;Cardim et al, 2007), but neither them can be applied for uncertain systems or systems subject to structural failures (Isermann, 1997;Isermann & Ballé, 1997;Isermann, 2006). Robust state-derivative feedback LMI-based designs for linear time-invariant and time-varying systems were recently proposed in (Assunção et al, 2007c), but the results does not consider structural failures in the control design.…”

Section: Lmi-based Control Design For State-derivative Feedbackmentioning

confidence: 99%

See 1 more Smart Citation

Control Designs for Linear Systems Using State-Derivative Feedback

Cardim¹,

Teixeira²,

Assunção³

et al. 2008

Systems Structure and Control

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“…This condition was also assumed in other related researches (Kwak et al, 2002;Abdelaziz & Valášek, 2004;Assunção et al, 2007c;Cardim et al, 2007).…”

Section: Statement Of the Problemmentioning

confidence: 63%

Section: Lmi-based Control Design For State-derivative Feedbackmentioning

confidence: 99%

Control Designs for Linear Systems Using State-Derivative Feedback

Cardim¹,

Teixeira²,

Assunção³

et al. 2008

Systems Structure and Control

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“…In the last decade, the state derivative feedback control has drawn the attention of many researchers [23]- [26] due to its various advantages in applications. In most practical problems, especially disturbance cancelation problems, using This accelerometers as sensors is easier, cheaper and more reliable than using position sensors.…”

Section: Introductionmentioning

confidence: 99%

Adaptive cancelation of matched unknown sinusoidal disturbances for unknown LTI systems by state derivative feedback

Baştürk

Krstić

2012

2012 American Control Conference (ACC)

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Solutions already exist for the problem of canceling sinusoidal disturbances by measurement of the state or by measurement of an output for unknown linear and nonlinear systems. In this paper, we design an adaptive controller to cancel matched sinusoidal disturbances forcing a linear time-invariant system with unknown system parameters in controllable canonical form by using only measurement of state-derivatives. Our design is based on three steps, 1) parametrization of the sinusoidal disturbance as the output of a known feedback system with an unknown output vector that depends on both unknown disturbance parameters and unknown plant parameters, 2) design of an adaptive disturbance observer and, 3) design of an adaptive controller. We prove that the equilibrium of the closedloop adaptive system is stable and state of the considered system goes to zero as t → ∞ with perfect disturbance estimation. The effectiveness of the controller is illustrated with a simulation example of a second order system.

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“…Keeping in mind the above recognitions, the present study seeks to develop an effective and practically implementable semi-active control strategy for cable vibration mitigation using MR dampers. Starting from a direct state-derivative feedback control scheme, which was first developed by Kwak et al [17][18] for active control of a cantilever beam and landing gear components with piezoelectric actuators, an acceleration-based feedback controller for semi-active control of cable vibration using one MR damper and one accelerometer is formulated within the framework of reciprocal state space 19 . The control design is enabled to directly use acceleration information for feedback and state estimation.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and experimental studies on semi-active feedback control of cable vibration using MR dampers

Duan

2004

Smart Structures and Materials 2004: Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems

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This paper presents theoretical and in-situ experimental studies on semi-active vibration control of bridge cables using magneto-rheological (MR) dampers. The feedback control is accomplished using only one MR damper and one accelerometer collocated near the lower end of the cable. A new control strategy, state-derivative feedback control, is formulated within the framework of reciprocal state space (RSS). This state-derivative feedback control strategy is novel in the sense that it directly uses acceleration information for feedback and state estimation, which is usually the only measurand available in practical cable vibration control implementation. More importantly, the control force commanded by this strategy with an appropriate energy weighting tends to be dissipative and therefore implementable by semi-active MR dampers without clipping. Numerical simulations of state-derivative feedback control for a 115m long stay cable in the cable-stayed Dongting Lake Bridge are conducted under different excitation conditions, and then experimental validation of the prototype cable is carried out in the bridge site with the help of the real-time control system dSPACE. Good agreement is observed between the simulation and experimental results.

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Acceleration-Based Vibration Control of Distributed Parameter Systems Using the “Reciprocal State-Space Framework”

Cited by 38 publications

References 19 publications

Control Designs for Linear Systems Using State-Derivative Feedback

Control Designs for Linear Systems Using State-Derivative Feedback

Adaptive cancelation of matched unknown sinusoidal disturbances for unknown LTI systems by state derivative feedback

Theoretical and experimental studies on semi-active feedback control of cable vibration using MR dampers

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