Actuator placement in structural control

Abstract

The placement of force and torque actuators for structural control problems is considered. Objective functions are defined based on the elements of the actuator influence matrix, and optimization studies are conducted. The performance of the control is compared. The results indicate that a relatively even distribution of the actuators gives satisfactory results, whereas a close spacing of the actuators leads to excessive fuel and energy use. In all cases, several evenly spaced actuator distributions are found to be suitable. In addition, torque actuators are found to be less desirable than force actuators because they excite the higher modes to a greater degree. The efficiency of piecewise-continuous actuators is analyzed. Piecewise-continuous actuators are more realistic models than point actuators and they reduce stress levels. However, if their contact area is too large, they use more fuel.

Optimal actuator/sensor placement for nonlinear control of the kuramoto-sivashinsky equation

“…To present the method that we use for output feedback controller design and optimal actuator/sensor placement, we formulate (2) as an infinite dimensional system in the Hilbert space , with being the space of measurable functions defined on , with inner product and norm (5) where , are two elements of and the notation denotes the standard inner product in . Defining the state function on as (6) the operator in as (7) and the input, controlled output, and measured output operators as (8) the system of (2)-(4) takes the form (9) where and . For , we can formulate the following eigenvalue problem: (10) subject to (11) where denotes an eigenvalue and denotes an eigenfunction.…”

“…The area of integration of feedback control design with optimal placement of control actuators and measurement sensors so that the desired control objectives are achieved with minimal energy use has received significant attention, especially in 1970s and early 1980s (see, for example, the review paper [14]), in the context of linear distributed parameter systems (DPS). Specifically, several results have been derived on the problem of integrating linear feedback control and optimal actuator placement for several classes of linear DPS including controllability measures and actuator placement in oscillatory systems [3], as well as optimal placement of actuators for linear feedback controllers in parabolic PDEs (see, e.g., [11]) and in actively controlled structures (see, e.g., [7]). Furthermore, the problem of selecting optimal locations for measurement sensors in linear distributed parameter systems has also received very significant attention (see, e.g., [15], [18]).…”

Optimal Actuator/Sensor Placement for Control of Combustion Instabilities

“…Note that a single factor W N is associated with all modeled modes and W R for all residual.The proposedmodi cationassociates a speci c weight for each mode. The second index J 7 is due to Choe and Baruh, 8 and its proposed modi cation J 8 is…”

Interval Analysis of the Eigenvalues of Closed-Loop Control Systems with Uncertain Parameters

“…Therefore, it is of great value to determine the optimal number of actuators and sensors and to configure them at the optimal position. Many in-depth studies have been undertaken in this field [13][14][15][16][17][18][19][20][21][22][23][24] and can be divided into two aspects: one is to determine the optimal allocation criterion, or objective function to be optimized; the other is to select an appropriate optimization method. The optimal configuration criteria include the following: the maximum configuration criterion based on the singular value of the controllable matrix; the maximum configuration criterion of controllability/observability defined by the Grimm matrix; the configuration standards based on the minimum energy consumption of the system; the minimum configuration criterion based on control/observation overflow; the configuration criteria based on failure and reliability; the configuration standards based on the maximum response value in the time domain or the maximum response value in the frequency domain, etc.…”