Control of LPV systems with partly measured parameters
Control of LPV systems with partly measured parameters
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DOI：
10.1109/9.751371
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发表时间：
1999-03
期刊：
影响因子：
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通讯作者：
I. E. Köse;F. Jabbari
中科院分区：
文献类型：
--
作者：
I. E. Köse;F. Jabbari
研究了具有时变真实的不确定参数的线性变参数（LPV）系统的控制问题。控制目标是内部稳定性和干扰衰减的意义上的有界诱导L/sub 2/-范数的干扰控制输出。使用参数化的李雅普诺夫函数，动态输出反馈控制器的可解性条件，取决于测量参数表示在一组线性矩阵不等式（LMI）和一个额外的耦合约束，破坏了凸性的整体问题。通过将耦合约束转化为秩条件，将问题转化为具有LMI约束的秩最小化问题。包括一个例子，演示了结果的应用。
The control of linear parameter-varying (LPV) systems with time-varying real uncertain parameters, where only some of the parameters are measured and available for feedback, is considered. The control objectives are internal stability and disturbance attenuation in the sense of a bounded induced L/sub 2/-norm from the disturbance to the controlled output. Using parametric Lyapunov functions, the solvability conditions for dynamic output feedback controllers that depend on the measured parameters are expressed in terms of a set of linear matrix inequalities (LMIs) and an additional coupling constraint which destroys the convexity of the overall problem. By transforming the coupling constraint into a rank condition, the problem is recast into a rank-minimization problem with LMI constraints. An example is included that demonstrates the application of the results.