Induced L/sub 2/-norm control for LPV system with bounded parameter variation rates
Induced L/sub 2/-norm control for LPV system with bounded parameter variation rates
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具有有限参数变化率的 LPV 系统的诱导 L/sub 2/-范数控制
DOI：
10.1109/acc.1995.531398
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
G. Becker
中科院分区：
文献类型：
--
作者：
Fen Wu;X. Yang;Andrew Packard;G. Becker
一个线性的，有限维的植物，与状态空间参数依赖性，使用参数依赖控制器控制。其值在紧集中的参数是真实的已知的。它们的变化率是有界的，并且在真实的时间中也是已知的。控制的目标是稳定的参数依赖的闭环系统，并提供干扰/误差衰减的诱导L/sub 2/范数。作者的方法使用一个参数依赖的李雅普诺夫函数，并解决了控制综合问题的存在性条件转化为一个半无限维凸优化。作者提出了有限维近似，以获得成功的控制器设计的充分条件。
A linear, finite-dimensional plant, with state-space parameter dependence, is controlled using a parameter-dependent controller. The parameters whose values are in a compact set, are known in real time. Their rates of variation are bounded and known in real time also. The goal of control is to stabilize the parameter-dependent closed-loop system, and provide disturbance/error attenuation as measured in induced L/sub 2/ norm. The authors' approach uses a parameter-dependent Lyapunov function, and solves the control synthesis problem by reformulating the existence conditions into an semi-infinite dimensional convex optimization. The authors propose finite dimensional approximations to get sufficient conditions for successful controller design.