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Market-based control strategy for long-span structures considering the multi-time delay issue

Earthquake Engineering and Engineering Vibration 2017年第1期16卷 153-164页

作者： Li Hongnan Song Jianzhu Li Gang School of Civil Engineering Liaoning Collaborative Innovation Center for Engineering Disaster Prevention and MitigationDalian University of TechnologyDalian 116024China

To solve the different time delays that exist in the control device installed on spatial structures, in this study, discrete analysis using a 2N precise algorithm was selected to solve the multi-time-delay issue for long-span structures based on the market-based control （MBC） method. The concept of interval mixed energy was introduced from computational structural mechanics and optimal control research areas, and it translates the design of the MBC multi-time-delay controller into a solution for the segment matrix. This approach transforms the serial algorithm in time to parallel computing in space, greatly improving the solving efficiency and numerical stability. The designed controller is able to consider the issue of time delay with a linear controlling force combination and is especially effective for large time-delay conditions. A numerical example of a long-span structure was selected to demonstrate the effectiveness of the presented controller, and the time delay was found to have a significant impact on the results.

关键词： market based control multi-time delay interval mixed energy 2N precise algorithm discrete system

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Numerical solutions of linear quadratic control for time-varying systems via symplectic conservative perturbation

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Applied Mathematics and Mechanics(English Edition) 2007年第3期28卷 277-287页

作者：谭述君钟万勰 State Key Laboratory of Structural Analysis for Industrial Equipment Dalian University of Technology

Optimal control system of state space is a conservative system, whose approximate method should be symplectic conservation. Based on the precise integration method, an algorithm of symplectic conservative perturbation is presented. It gives a uniform way to solve the linear quadratic control （LQ control） problems for linear timevarying systems accurately and efficiently, whose key points are solutions of differential Riccati equation （DRE） with variable coefficients and the state feedback equation. The method is symplectic conservative and has a good numerical stability and high precision. Numerical examples demonstrate the effectiveness of the proposed method.

关键词： linear time-varying systems linear quadratic control Riccati equation interval mixed energy state transition matrix symplectic conservativeperturbation

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