存在输入非线性时保守抽象系统的积分作用反馈设计
Integral action feedback design for conservative abstract systems in the presence of input nonlinearities
AI总结：
针对受执行器非线性影响的保守抽象线性系统，提出带积分作用的镇定反馈律，证明闭环系统原点的适定性与全局渐近稳定性，并通过波动方程示例和仿真验证方法有效性。
摘要：
本文针对受执行器非线性影响的保守抽象线性系统，提出了一种带积分作用的镇定反馈律。基于所设计的控制律，我们首先通过构造弱Lyapunov泛函，证明了闭环系统原点的适定性和全局渐近稳定性。其次，作为示例，我们将所得结果应用于边界处耦合常微分方程（ODE）的波动方程。最后，我们给出了仿真结果以说明所提方法的有效性。
英文摘要：
In this article, we present a stabilization feedback law with integral action for conservative abstract linear systems subjected to actuator nonlinearity. Based on the designed control law, we first prove the well-posedness and global asymptotic stability of the origin of the closed-loop system by constructing a weak Lyapunov functional. Secondly, as an illustration, we apply the results to a wave equation coupled with an ordinary differential equation (ODE) at the boundary. Finally, we give the simulation results to illustrate the effectiveness of our method.
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。
