Phase-controlled system design via mixed H∞ synthesis and nonlinear method

N. S. Ahmad, S. J. A. Bakar
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引用次数: 1

Abstract

Due to nonlinear behavior of several phase-detectors, linear approximation method often leads to performance degradation in many phase-controlled systems, particularly when the phase errors are sufficiently large. In this work, with the nonlinearity considered in the system's model, a suitable criterion which takes into account both the nonlinearity's sector and slope bounds is employed to establish its global stability condition. The result is then incorporated into the existing H∞ synthesis in the controller/loop filter design. The searches are expressed in terms of convex linear matrix inequalities which are computationally tractable. To illustrate the improvement introduced via this approach, several numerical examples are included with comparisons over conventional linear approximation methods.
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采用混合H∞综合和非线性方法设计相控系统
由于相位检波器的非线性特性,线性逼近法在许多相位控制系统中往往会导致性能下降,特别是当相位误差足够大时。在考虑系统模型非线性的情况下,采用一个既考虑非线性扇形界又考虑非线性斜率界的判据来建立系统的全局稳定条件。然后将结果合并到控制器/环路滤波器设计中的现有H∞合成中。搜索用凸线性矩阵不等式表示,计算上易于处理。为了说明通过这种方法所带来的改进,包括几个数值例子,并与传统的线性近似方法进行了比较。
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