2017
DOI: 10.1016/j.compstruc.2017.03.014
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A novel fast model predictive control with actuator saturation for large-scale structures

Abstract: One of the most critical issues faced in the application of active control to engineering structures is actuator saturation. In this paper, a novel fast model predictive control with actuator saturation for large-scale structures is proposed. First, based on the second-order dynamic equation, the explicit expression form of the Newmark-β method is derived. Then, according to the parametric variational principle, the explicit structure of the model predictive control (MPC) saturation controller is obtained. A l… Show more

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Cited by 31 publications
(10 citation statements)
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“…To solve the DMPC problem, the subsystem prediction model ( 5) should be discretized in the time domain; then the state evolution can be predicted by the discrete convolution integral [30]. However, this discretization approach involves considerable off-line computation of matrix exponentials, especially for a large-scale system [31]. Thus, to improve the computational efficiency, an explicit Newmark-β algorithm is applied to discretize the subsystem (3).…”
Section: A Discretization By the Explicit Newmark-β Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…To solve the DMPC problem, the subsystem prediction model ( 5) should be discretized in the time domain; then the state evolution can be predicted by the discrete convolution integral [30]. However, this discretization approach involves considerable off-line computation of matrix exponentials, especially for a large-scale system [31]. Thus, to improve the computational efficiency, an explicit Newmark-β algorithm is applied to discretize the subsystem (3).…”
Section: A Discretization By the Explicit Newmark-β Methodsmentioning
confidence: 99%
“…Performing an iterative calculation of the recurrence formula (29), all the future dynamic responses can be expressed by the predictive initial state and control inputs, given as (31) where the subscript "i" denotes the i th subsystem, superscripts "k" and "l" denote the predictive time step, and…”
Section: A Discretization By the Explicit Newmark-β Methodsmentioning
confidence: 99%
“…Monolithic mirror with large diameter is avoided, offers the advantages of achievable manufacturing process and allowable packaging configurations. On the other hand, there is added difficulty in accurately deploying and phasing individual mirror segments to achieve a phased primary mirror with desirable optical quality [13], [15], [16]. The additional actuation and control systems are required for each segment.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, interesting research branches of LCPs include, just to mention a few, the robust version in the presence of uncertain data [26], which was motivated by robust optimization; properties of the solution map of a parametric LCP [7], which employed powerful tools from variational analysis; and various algorithms for solving LCPs [5,10,15]. Also, many works encountered or dealt with large scale LCPs, e. g., see [4,16,18,23].…”
Section: Introductionmentioning
confidence: 99%