Details

Autor(en) / Beteiligte

• Sepulchre, R.
• Arcak, M.
• Teel, A.R.

Titel

Trading the stability of finite zeros for global stabilization of nonlinear cascade systems

Ist Teil von

• Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2001, Vol.3, p.3025-3030 vol.3

Ort / Verlag

IEEE

Erscheinungsjahr

2001

Quelle

IEL

Beschreibungen/Notizen

• Analyzes the stabilizability properties of nonlinear cascades in which a nonminimum phase linear system is interconnected through its output to a stable nonlinear system. It is shown that the instability of the zeros of the linear system can be traded with the stability of the nonlinear system up to a limit fixed by the growth properties of the cascade interconnection term. Below this limit, global stabilization is achieved by smooth static state feedback. Beyond this limit, various examples illustrate that controllability of the cascade may be lost, making it impossible to achieve large regions of attractions.