Gain-Scheduled Adaptive Control for Seismically Excited Hybrid Structures

A nonlinear controller is developed using gain-scheduled adaptation for a six-story, base-isolated office building subjected to strong earthquakes. Several linearized models and a scheduled piecewise linear model of the structure are developed using a finite-element nonlinear model. Compensators are designed, based on the \iH\D∞\N control design method using the linearized models. The family of designed compensators is then gain-scheduled. The selected scheduling variable is a combination of the interstory ductility and the measured earthquake magnitude. The performance and robustness of the gain-scheduled adaptive controller is extensively studied for a variety of earthquake records and uncertainties, ranging from structure parameter variations to controller hardware-related time delays. All controller simulations are performed using the detailed finite-element nonlinear structure model. A key advantage of the gain-scheduled adaptive controller, compared to a constant-gain controller, is the reduction of up to 40% in the applied control forces while maintaining the same closed-loop performance.

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