Analysis of a singular point of control system with piecewise smooth feedback

Takayuki Tsuzuki; Ryuji Enomoto; Masasuke Shima

doi:10.11499/sicep.2004.0_106_5

SICE Annual Conference 2004

DOI https://doi.org/10.11499/sicep.2004.0_106_5

Conference information

Host: The Society of Instrument and Control Engineers

Co-host: The IEEE Industrial Electronics Society, The IEEE Robotics and Automation Society, The IEEE Control Systems Society, The IEEE Systems, Man and Cybernetics Society, The Instrumentation, Systems, and Automation Society

Analysis of a singular point of control system with piecewise smooth feedback

*Takayuki Tsuzuki, Ryuji Enomoto, Masasuke Shima

Author information

Keywords: topological structure, singular point, piecewise smooth feedback

CONFERENCE PROCEEDINGS FREE ACCESS

Pages 106

Details

Abstract

Assigning instability to some singular points is useful for global asymptotic stabilization if a nonlinear control system is not globally asymptotically stabilizable to a single singular point. If the linear approximation is controllable, the Conley index of the singular point can be homotopy equivalent to one of hyperbolic singular point with any dimensional unstable manifold by using the discontinuous feedback.

Corresponding author

Register with J-STAGE for free!