Comparison of actuator placement criteria for control of structures

Morris, Kirsten; Yang, Steven

doi:10.1016/j.jsv.2015.05.002

Cited by 36 publications

(16 citation statements)

References 19 publications

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“…Actuator location and shape are important design variables for feedback synthesis in active vibration control. Optimal actuator design improves performance of the controller and significantly reduces the cost of control [1], [2], [3]. In the engineering literature, the optimal actuator location problem has gained considerable interest, see [4], [5], [6].…”

Section: Introductionmentioning

confidence: 99%

Optimal Actuator Design for the Euler-Bernoulli Vibration Model Based on LQR Performance and Shape Calculus

Edalatzadeh

Kalise

Morris

et al. 2022

IEEE Control Syst. Lett.

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A method for optimal actuator design in vibration control is presented. The optimal actuator, parametrized as a characteristic function, is found by means of the topological derivative of the LQR cost. An abstract framework is proposed based on the theory for infinite-dimensional optimization of both the actuator shape and the associated control problem. A numerical realization of the optimality condition is developed for the actuator shape using a level-set method for topological derivatives. A numerical example illustrating the design of actuator for Euler-Bernoulli beam model is provided.

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Section: Introductionmentioning

confidence: 99%

Optimal Actuator Design for the Euler-Bernoulli Vibration Model Based on LQR Performance and Shape Calculus

Edalatzadeh

Kalise

Morris

et al. 2022

IEEE Control Syst. Lett.

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“…It has been analyzed that maximizing the minimum eigenvalue of the controllability gramian is not a useful criterion. Because the lower bound of the eigenvalue is zero, the minimum eigenvalue approaches zero as the dimension of approximation increases [26,27].…”

Section: Introductionmentioning

confidence: 99%

Optimal control of a 1D diffusion process with a team of mobile actuators under jointly optimal guidance

Cheng

Paley

2020

2020 American Control Conference (ACC)

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This paper describes an optimization framework to control a distributed parameter system (DPS) using a team of mobile actuators. The framework simultaneously seeks optimal control of the DPS and optimal guidance of the mobile actuators such that a cost function associated with both the DPS and the mobile actuators is minimized subject to the dynamics of each. The cost incurred from controlling the DPS is linear-quadratic, which is transformed into an equivalent form as a quadratic term associated with an operator-valued Riccati equation. This equivalent form reduces the problem to seeking for guidance only because the optimal control can be recovered once the optimal guidance is obtained. We establish conditions for the existence of a solution to the proposed problem. Since computing an optimal solution requires approximation, we also establish the conditions for convergence to the exact optimal solution of the approximate optimal solution. That is, when evaluating these two solutions by the original cost function, the difference becomes arbitrarily small as the approximation gets finer. Two numerical examples demonstrate the performance of the optimal control and guidance obtained from the proposed approach.

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“…The amount of harvested electric energy, the level of electric potential generated on the electrodes, the controllability of a structure, the damping of vibration at the specified frequency, etc. [23,25,[27][28][29][30][31][32][33][34][35][36][37] can all play a role in the goals set.…”

Section: Introductionmentioning

confidence: 99%

Algorithm for the layout of a piezoelectric element in an elastic medium providing the maximal piezoelectric effect within a specified frequency range

Oshmarin

Iurlova

Sevodina

et al. 2019

International Journal of Smart and Nano Materials

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Comparison of actuator placement criteria for control of structures

Cited by 36 publications

References 19 publications

Optimal Actuator Design for the Euler-Bernoulli Vibration Model Based on LQR Performance and Shape Calculus

Optimal Actuator Design for the Euler-Bernoulli Vibration Model Based on LQR Performance and Shape Calculus

Optimal control of a 1D diffusion process with a team of mobile actuators under jointly optimal guidance

Algorithm for the layout of a piezoelectric element in an elastic medium providing the maximal piezoelectric effect within a specified frequency range

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