具有复制执行机构的非线性H_∞可靠控制——完全信息情况

Reliable H_∞ Control for Nonlinear Systems with Duplicated Actuators: The Full Information Case

研究了具有复制执行机构的非线性 H∞ 状态反馈可靠控制及其控制器的参数化问题 .基于Hamilton- Jacobi不等式 ,得到了非线性 H∞ 状态反馈可靠控制问题可解的充分条件 ,并构造出了一簇控制器 ,使得当有执行机构失效时 ,闭环系统仍渐近稳定且 L2 增益有限 .研究结果解决了非线性H∞ 可靠控制问题并为它的综合提供了更广的视角 .

The paper was concerned with the reliable H∞ state feedback control and controller parameterization problem for nonlinear systems with duplicated actuators. Based on Hamilton-Jacobi inequality, sufficient condition was presented such that the reliable control problem was resolved, and a family of controllers were given such that the resulting closed-loop systems are asymptotically stable and their L2-gain is limitable not only when all actuators are operational but also when some of the actuators experience an outage.