화학공학소재연구정보센터
IEEE Transactions on Automatic Control, Vol.47, No.3, 521-525, 2002
Trading the stability of finite zeros for global stabilization of nonlinear cascade systems
This note 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.