Γ-passive System and Its Phase Property and Synthesis
Γ-passive System and Its Phase Property and Synthesis
复制标题
γ-无源体系及其相性质和合成
DOI：
10.1109/9.506239
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Masayuki Suzuki
中科院分区：
文献类型：
--
作者：
N. Sakamoto;Masayuki Suzuki
本文从能量耗散率的观点推广了无源性的概念，引入了一个新的供给率，其指数为/spl γ/。利用供给率和耗散不等式得到了非线性系统的一个可镇定性结果。在线性系统的情况下，它示出的指数/SPL γ/可以被用作传递函数的相位的测量，这提供了一个相位曲线成形方法。本文还得到了一个含有/spl γ/-正真实的系统的反馈系统的稳定性结果，并通过一个例子说明了其有效性。最后，利用非线性系统的一种双线性变换& Cayley变换，讨论了/spl gamma/-无源系统的设计方法。
In this paper the concept of passivity is generalized from the viewpoint of the rate of energy dissipation, introducing a new supply rate with an index /spl gamma/. A stabilizability result for nonlinear systems is obtained using the argument of the supply rate and the dissipative inequality. In the case of linear systems, it is shown that the index /spl gamma/ can be used as a measure of phase of transfer functions, which provides a phase curve shaping method. A stability result of a feedback system involving a /spl gamma/-positive real system is also obtained and its effectiveness is shown by an example. Finally, a design method of /spl gamma/-passive system is discussed using a bilinear transformation of nonlinear systems, called Cayley-transform.