On the characterisation of stabilisability by means of time-delayed feedback control

— In this paper we consider the stabilisability of nonlinear dynamical systems via time-delayed state and output feedback control. Based on an eigenvalue optimisation approach in combination with a continuation argument and a result characterising properties of the optimum eigenvalue configurations, we obtain explicit expressions for stabilisability boundaries for two-dimensional systems. As time-delayed feedback can be used to approximate derivative feedback, we also give a comparison of the stabilisability via both types of feedback.

• Type: Conference
• Year: 2008
• Where: CDC
• Authors: H. J. C. Huijberts, Wim Michiels, Henk Nijmeijer
• Keywords: CDC 2008, Control Systems, Eigenvalue Optimisation Approach, Optimum Eigenvalue Configurations, Output Feedback Control