Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational Aspects

Peng, Haijun; Gao, Qiang; Wu, Zhigang; Zhong, Wanxie

doi:10.1155/2014/508954

Cited by 10 publications

(8 citation statements)

References 31 publications

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“…The continuous time should be divided into a series of time intervals, and then the MPC problem can be transformed into an optimization problem. For standard MPC, the future states can be predicted using the convolution integral [2,32] or the forward Euler differential. In this paper, these two discretization schemes are named the standard MPC1 and the standard MPC2, respectively.…”

Section: Quadratic Programming Methodsmentioning

confidence: 99%

“…are the 6 nonnegative and positive definite symmetric weighting matrices, respectively. The performance index J is widely adopted in vibration control systems [2,[26][27]32], ensuring that the dynamical responses will be cut down and the energy consumption will be reduced. So far, the standard MPC with input saturation for the structural control problem has been expressed by the above Eqs.…”

Section: Problem Formulationmentioning

confidence: 99%

“…With the rapid development of computer technology, MPC is becoming a reality in many engineering applications [31], such as civil engineering [32], mechanical engineering [33] and aerospace engineering [34]. The primary advantage of MPC over other control strategies is that it can handle process constraints that arise from natural requirements on an algorithmic level [35].…”

Section: Introductionmentioning

confidence: 99%

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A novel fast model predictive control with actuator saturation for large-scale structures

Peng

Zhang

2017

Computers & Structures

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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 linear complementary problem for the proposed fast MPC saturation controller is developed, replacing the quadratic programming problem for the original MPC saturation controller. The optimal control input can be achieved by solving one linear complementarity problem and one transient analysis problem. Particularly, the physical meaning of the explicit expression form of the Newmark-β method is discovered and applied for increasing computational efficiency and saving memory. Finally, numerical simulations of a plane adjacent frame building subjected to earthquake ground motion demonstrate that the proposed fast MPC saturation controller is highly efficient and can be applied under a large step-length, especially for large-scale structural dynamic control problems.

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Section: Quadratic Programming Methodsmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A novel fast model predictive control with actuator saturation for large-scale structures

Peng

Zhang

2017

Computers & Structures

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“…For example, the peak value of displacement based on balanced reduction has increased 10% compared with results based on the full dynamics model, while the peak value of control force based on balanced reduction has increased 30% compared with results based on the full dynamics model (Lu et al., 2009). Besides, in order to design a controller without model reduction, Peng et al. (2014a) and Chen et al.…”

Section: Introductionmentioning

confidence: 99%

Explicit expression-based practical model predictive control implementation for large-scale structures with multi-input delays

Peng

Chen

et al. 2017

Journal of Vibration and Control

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In this paper, two practical model predictive control (MPC) implementation algorithms with multi-input delay (NFMPCMID1 and NFMPCMID2) are developed in discrete-time formulation for vibration control of large-scale structures. By introducing a particular augmented state vector, the controlled dynamic equation with multi-input delay is transformed into the standard form without any explicit time delay. Because of no approximation for multi-input delay involved, the system performance and stability are easily guaranteed. In order to solve the computation efficiency and memory requirement for large-scale structure, a novel explicit expression form of Newmark-β method is derived, from which the future states can be easily predicted without computing matrix exponential and its integration. By applying this explicit expression form into MPC, the control input of NFMPCMID1 method can be computed by some matrix–matrix multiplications, and also the control input of NFMPCMID2 method can be computed just by two off-line transient analyses and one on-line transient analysis at every sampling instant on the structure. For no computation of matrix exponential and its integration in NFMPCMID1 and NFMPCMID2 methods, the off-line computation efficiency is greatly improved, and the memory requirement is greatly reduced, especially for the NFMPCMID2 method. In additional, due to the small amount of on-line computation, the on-line computation efficiency is also guaranteed. At last, the stability, feasibility and efficiency of the proposed methods are verified by several typical numerical examples.

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“…Composite materials exhibit excellent performance, such as high strength, light weight, noise reduction, energy absorption and hightemperature resistance, which have been widely applied to the fields of structure control [1], spacecraft [2] and helicopter rotor [3]. In the above practical engineering, a lot of composite structures possessing one or two dimensions much smaller than others are reducible structures dimensionally, such as sandwich beams and plates, laminated plates, multilayered lattice structures.…”

Section: Introductionmentioning

confidence: 99%

A two-level method for static and dynamic analysis of multilayered composite beam and plate

Zhang

Yin

Zhang

et al. 2016

Finite Elements in Analysis and Design

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Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational Aspects

Cited by 10 publications

References 31 publications

A novel fast model predictive control with actuator saturation for large-scale structures

A novel fast model predictive control with actuator saturation for large-scale structures

Explicit expression-based practical model predictive control implementation for large-scale structures with multi-input delays

A two-level method for static and dynamic analysis of multilayered composite beam and plate

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