地震控制：鲁棒控制的新兴应用。理论与实验测试
Earthquake Control: An Emerging Application for Robust Control. Theory and Experimental Tests
AI总结：
本文面向流体注入防震问题，基于可再现地震失稳的降阶非线性模型，设计并实验比较了滑模与 LQR 两类鲁棒控制器。
摘要：
本文探讨了利用鲁棒控制理论通过向地壳中注入流体来预防地震的可能性。所设计的鲁棒控制器通过跟踪缓慢的参考信号，以无震方式将断层系统驱动至能量更低的新平衡点。控制设计基于一个能够再现类地震不稳定性的降阶非线性模型。研究考虑了与潜在物理过程的摩擦和力学特性相关的不确定性以及外部扰动。文中推导了两类控制器。第一类基于滑模理论，可实现跟踪误差的局部有限时间收敛，并抑制关于时间满足 Lipschitz 条件的扰动。第二类控制器基于 LQR 控制，具有跟踪误差的全局指数稳定性，并可抑制关于状态满足 Lipschitz 条件的扰动。两类控制器均产生连续控制信号，从而在滑模算法情形下减弱抖振效应。所开发的控制器在数值仿真和实验室实验中得到了广泛测试与比较。本工作为将鲁棒非线性控制理论应用于复杂地球系统、地震和可持续能源生产开辟了新的前景。
英文摘要：
This paper addresses the possibility of using robust control theory for preventing earthquakes through fluid injections in the earth's crust. The designed robust controllers drive aseismically a fault system to a new equilibrium point of lower energy by tracking a slow reference signal. The control design is based on a reduced-order nonlinear model able to reproduce earthquake-like instabilities. Uncertainties related to the frictional and mechanical properties of the underlying physical process and external perturbations are considered. Two types of controllers are derived. The first one is based on sliding-mode theory and leads to local finite-time convergence of the tracking error and rejection of Lipschitz w.r.t. time perturbations. The second controller is based on LQR control and presents global exponential stability of the tracking error and rejection of Lipschitz w.r.t. states perturbations. Both controllers generate a continuous control signal, attenuating the chattering effect in the case of the sliding-mode algorithms. The developed controllers are tested extensively and compared on the basis of numerical simulations and experiments in the laboratory. The present work opens new perspectives for the application of robust nonlinear control theory to complex geosystems, earthquakes and sustainable energy production.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
