Abstract
A decentralized control strategy can effectively solve the control problem of the large‐scale time delayed structures. In this paper, combining the overlapping decentralized control method, linear matrix inequality (LMI) method, and H∞ control algorithm, overlapping decentralized H∞ control approach of the time delayed structures has been established. The feedback gain matrixes of all subsystems are obtained by this method based on genetic algorithm optimization tools and the specific goal of optimization control. The whole vibration control system of the time delayed structures is divided into a series of overlapping subsystems by overlapping decentralized control strategy. The feedback gain matrixes of each subsystem can be obtained by using H∞ control algorithm to calculate each subsystem. The vibration control of a twenty layers’ antiseismic steel structure Benchmark model was analyzed with the numerical method. The results show that the proposed method can be applied to control system with time delay. The overlapping decentralized control strategies acquire the similar control effects with that of the centralized control strategy. Moreover, the flexibility of the controller design has been enhanced by using overlapping decentralized control strategies.
Highlights
With the construction of super-high, long-span, and other complex large-scale civil structures, the traditional passive control strategy has some limitations in its application, which is difficult to meet the requirements
Five kinds of control strategies, including H∞ centralized control and overlapping decentralized H∞ control, are designed for the vibration time-delay control problem of twenty-story seismic steel structure benchmark model under seismic excitation, and the corresponding calculation results are given. e overlapping decentralized control method provides a new control approach to solve the vibration control problem of structures with time delay based on H∞ control algorithm, and the control strategy reduces the calculation cost and increases the flexibility of the controller design
When MATLAB Robust control toolbox is used to calculate the output feedback controller, it is found that the optimization problem of bilinear matrix inequality (BLMI) (equations (18) and (19)) is not solvable. erefore, this section uses the random search function of genetic algorithm to solve the following problems: max τ subject to equations (18) and (19), G∈Rr×nu where the state variable of the controller is nu, r is the input vector, and the genetic algorithm generates a feedback gain matrix G ∈ Rr×nu at random, and the evolution is carried out according to the condition of equation (20)
Summary
With the construction of super-high, long-span, and other complex large-scale civil structures, the traditional passive control strategy has some limitations in its application, which is difficult to meet the requirements. Intelligent optimization algorithm and decentralized control strategy are used to solve the vibration control problem of building structures under earthquake excitation [14]. Five kinds of control strategies, including H∞ centralized control and overlapping decentralized H∞ control, are designed for the vibration time-delay control problem of twenty-story seismic steel structure benchmark model under seismic excitation, and the corresponding calculation results are given. E overlapping decentralized control method provides a new control approach to solve the vibration control problem of structures with time delay based on H∞ control algorithm, and the control strategy reduces the calculation cost and increases the flexibility of the controller design Five kinds of control strategies, including H∞ centralized control and overlapping decentralized H∞ control, are designed for the vibration time-delay control problem of twenty-story seismic steel structure benchmark model under seismic excitation, and the corresponding calculation results are given. e overlapping decentralized control method provides a new control approach to solve the vibration control problem of structures with time delay based on H∞ control algorithm, and the control strategy reduces the calculation cost and increases the flexibility of the controller design
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