非線形要素を含むサンプル値系の安定条件-円板型条件とポポフ型条件の一般化 [in Japanese] Stability Condition for a Class of Nonlinear Sampled-Data Systems-Generalization of the Stability Criteria of Popov Type and Circle-Criterion Type [in Japanese]
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In this paper we deal with the sampled-data feedback systems with a class of nonlinearities modeled as the parallel connection of a memoryless time-invariant nonlinearity and a dynamical time-varying nonlinearity. We derive a stability criterion for such systems, which includes as special cases the stability criteria of Popov type and circle-criterion type, and which corresponds to the shifted Popov criterion in the continuous-time case. We also show that checking the stability condition of this criterion reduces to a convex problem in the frequency domain.
- Transactions of the Institute of Systems, Control and Information Engineers
Transactions of the Institute of Systems, Control and Information Engineers 12(10), 614-624, 1999-10-15
THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)