Stability of quantized time-delay nonlinear systems: A Lyapunov-Krasowskii-functional approach

Lyapunov-Krasowskii functionals are used to design quantized continuous-time control laws for nonlinear systems in the presence of time-invariant pointwise delays in the input. The quantized control law is implemented via hysteresis which allows to avoid chattering. Our analysis applies to a fairly large class of systems, namely the class of stabilizable nonlinear systems and for any value of the quantization density. The resulting quantized feedback is parametrized with respect to the quantization density. Moreover, the maximal allowable delay tolerated by the system is characterized as a function of the quantization density.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Claudio De Persis, Frédéric Mazenc
• Keywords: CDC 2009, Control Law, Control Systems, Nonlinear Systems, Quantization Density