A semi-adaptive frequency control law for flexible structures - On the way to adaptive Q-LQG control

Jeanneau, Matthieu; Alazard, Daniel; Mouyon, Philippe

doi:10.2514/6.1999-4229

Cited by 2 publications

(3 citation statements)

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“…The subspace method is applied here to obtain the state model using the actuator and sensor time history under chosen excitation. The N4SID algorithm [6] is used for the state space subspace identification. In our case, it is not useful to achieve identification with the help of continuous-time methods or for systems governed by nonlinear behaviour as the plant is linear and sampled at the correct frequency [11].…”

Section: Modal Parameter Identificationmentioning

confidence: 99%

“…Identification methods have already been used by Takanashi et al [5] to design a state model in the case of unknown modal parameters but little research has been carried out on applied identification for modal control. Jeanneau et al [6] presented a semi-adaptive frequency control law for flexible structures applied on a simple mass-spring system. They underline that its application to more complex flexible structures, such as real models of aircraft and satellites, will raise other problems.…”

Section: Introductionmentioning

confidence: 99%

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Semi-adaptive modal control of on-board electronic boards using an identification method

Chomette

Rémond

Chesné

et al. 2008

Smart Mater. Struct.

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Modal active control, based on a state model, is an efficient method of increasing the lifetime of electronic boards by using piezoelectric components. In the case of industrial mass production, dispersions lead to changes in mechanical and electromechanical properties. Moreover, initial operating conditions such as boundary conditions can change during the lifetime of the control and modify its efficiency and stability. Therefore, a semi-adaptive modal control strategy in deferred time is proposed to attenuate these problems. Firstly modal control gains are calculated by using a classical linear quadratic Gaussian algorithm with the nominal model including mode shapes. Then control I/O data are collected by an identification system that uses on-board piezoelectric components. A subspace method is implemented to estimate modal matrices in order to update the controller. The sensitivity of control performance to modal parameter variation is presented. Estimated control frequencies and modal damping are finally used to update modal control gains. The effectiveness of the proposed method is examined through numerical simulation and experimental tests in the case of boundary condition modifications. This adaptive modal control/identification design greatly increases the nominal robustness of the controller in the case of frequency shifts.

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Section: Modal Parameter Identificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Semi-adaptive modal control of on-board electronic boards using an identification method

Chomette

Rémond

Chesné

et al. 2008

Smart Mater. Struct.

View full text Add to dashboard Cite

show abstract

“…For the control synthesis, a restricted number of modes is retained according to the frequency range in which the system is operated [5]. However, on the one hand, the characteristics (frequency and damping) of the members of this subclass of modes can vary in time [6]. On the other hand, the number of excited modes can change according to the operating band [7].…”

Section: Introductionmentioning

confidence: 99%

Linear time‐varying control of the vibrations of flexible structures

Zidane

Marinescu

Abbas-Turki

2014

IET Control Theory & Applications

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Recent results on pole placement for linear time-varying (LTV) systems are exploited here for the control of flexible structures. The infinite-dimensional system is approached as usual by a restricted number of modes of interest, according to the frequency range in which the system is exploited. The difference with the previous approaches (e.g. gain scheduling) is that only one finite dimension linear model is used and its parameters (frequency and damping of the modes) are varying according to the operating conditions. The control model is thus LTV and a regulator is analytically synthesised to ensure closed-loop stability and performances. This regulator is also LTV and thus automatically (without any special switching action) tracks the operating conditions of the system. The case of a flexible beam is studied in simulation as well as in the laboratory experimentation. Hence, a suitable application of the proposed LTV synthesis is done to find a compromise between the complexity of interpolation and its efficiency. Furthermore, the bad dissipation factor of flexible systems leads them to be good candidates to proof the efficiency of the proposed gain scheduling strategy. This work validates on a real system the LTV pole placement approach and opens the way to a new gain scheduling strategy for the control of LTV, non-linear or infinite-dimensional systems.

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A semi-adaptive frequency control law for flexible structures - On the way to adaptive Q-LQG control

Cited by 2 publications

References 0 publications

Semi-adaptive modal control of on-board electronic boards using an identification method

Semi-adaptive modal control of on-board electronic boards using an identification method

Linear time‐varying control of the vibrations of flexible structures

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