Periodic output feedback stabilization of neutral systems. (English) Zbl 0849.93055

Tarn, Tzyh-Jong; Yang, Tongzeng; Zeng, Xiaoming; Guo, Chuanfan

IEEE Trans. Autom. Control 41, No. 4, 511-521 (1996).

For the general class of neutral delay systems, the authors investigate when a system from this class is stabilizable by a feedback of the form \(u(n\tau + t) = K(t) y(n \tau)\), \(t \in [0,\tau)\). Here, \(u\) denotes the input, \(y\) denotes the output, and \(\tau\) is the sample time. Assuming that the open loop system has only finitely many unstable poles, which are controllable and observable, the authors prove the existence of such a feedback. An algorithm for constructing this feedback is given as well.

Reviewer: H.Zwart (Enschede)

MSC:

93D15	Stabilization of systems by feedback
93C57	Sampled-data control/observation systems
34K40	Neutral functional-differential equations

Keywords:

stabilization; sampled-data control; neutral delay systems; feedback