Discrete-time Gain-Scheduled Output-Feedback controllers exploiting inexact scheduling parameters via Parameter-Dependent Lyapunov Functions
Discrete-time Gain-Scheduled Output-Feedback controllers exploiting inexact scheduling parameters via Parameter-Dependent Lyapunov Functions
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DOI：
10.1109/cdc.2011.6161449
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发表时间：
2011-12
期刊：
影响因子：
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通讯作者：
Masayuki Sato
中科院分区：
文献类型：
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作者：
Masayuki Sato
针对离散时间线性变参数系统，利用参数依赖李雅普诺夫函数（PDLF）设计增益调度输出反馈（GSOF）控制器。在我们的问题设置中，它是假设调度参数提供了一些不确定性。在这个实际的问题设置中，我们给出了一个充分条件，设计GSOF控制器利用不确定的调度参数，最大限度地减少诱导的l2-范数的参数依赖双线性矩阵不等式（PDBMIs）。给出了求解PDBMIs的两种算法，即线搜索算法和迭代算法。在理想的情况下，即调度参数的精确值是可用的，我们的方法，然后恢复传统的设计方法，通过PDLF。
This paper addresses the design problem of Gain-Scheduled Output-Feedback (GSOF) controllers for discretetime Linear Parameter-Varying (LPV) systems via Parameter-Dependent Lyapunov Functions (PDLFs). In our problem setting, it is supposed that scheduling parameters are provided with some uncertainties. In this practical problem setting, we give a sufficient condition for designing GSOF controllers exploiting the uncertain scheduling parameters which minimize the induced l2-norm in terms of Parameter-Dependent Bilinear Matrix Inequalities (PDBMIs). Two algorithms for solving the PDBMIs, i.e. line search and iterative algorithms, are shown. Under the ideal situation, i.e. exact values of scheduling parameters are available, our method then recovers the conventional design method via PDLFs.