Market Mechanism Based Decentralized Control Of Structures

In the field of structural vibration control, active control algorithm is the main factor that affects the control effect. At present, most of the active control algorithms are centralized control strategies that have the problem of applicability and practicality. Although the traditional optimal control method can obtain a certain control effect, it has some shortcomings, such as the full state feedback based on the system, long online calculation time and so on. Market-Based Control (MBC) theory is Decentralized control strategy that regards the controlled structure system and energy source system as consumers and sellers in a free market. As a result, the whole control system is discretized. It uses the price mechanism according to the market supply and demand to effectively allocate resources and further effectively control the structure vibration. In this paper, the MBC active control method and theory are used to derive the control algorithm, perfect the theory and analyze the algorithm. This paper focuses on the problem of time delay, saturation problem, robust control and semi-active control of isolation structure. In theory, the stability of the algorithm and the method of solving the parameters are given. The main research contents are as follows:(1) At first, this paper summarizes the existing wealth distribution methods and then proposes linear wealth distribution based on optimization objective for shear force and modal distribution based on optimization objective for displacement. Two precise integration methods are introduced, and then applied to the solution of MBC algorithm and the derivation of two kinds of fine recursive schemes based on MBC state equations.(2) The parameters in the MBC supply and demand function model are derived based on the symplectic theory, and the derivation process for model parameters of the supply and demand function model is proposed. Based on the time history precise integration theory, the parameters and state equations are solved precisely and efficiently. The stability criterion of MBC strategy active controller is given by using Lyapunov direct method.(3) The buildings with multi-time delay MBC discrete systems subjected to earthquake excitations are studied, and the MBC multi-delay control strategy is proposed; the saturation in MBC system control variable has been studied and the MBC strategy for input saturation structure is presented.(4) For horizontal torsion coupling isolated structure, the nonlinear MBC semi-active control strategy is proposed to realize the real-time control of the magneto-rheological damper (MRD) voltage, which provides reference for the semi-active controller design of nonlinear isolation structure. The strategy has the advantages of strong adaprability to changes and short online calculation time, which can be applied to the high level structure.(5) For uncertain non-precise system, the MBC robust control strategy for linear structure is proposed by calculating guided mode according to the precise integration and extended Williams (W-W) algorithm. For nonlinear structure, a nonlinear structure MBC robust control strategy (R-MBC) is presented based on the force analogy method. For the failure of nonlinear structure control device, the decentralized control strategy of MBC is proposed based on the force analogy method. The validation and superiority of the proposed control strategy are verified by numerical examples.