Journal of the
Korean Mathematical Society JKMS

The disturbance attenuation problem for a class of discrete-time switched linear systems with exponential uncertainties via switched state feedback and switched dynamic output feedback is investigated, respectively. By using Taylor series approximation and convex polytope technique, exponentially uncertain discrete-time switched linear system is transformed into an equivalent switched polytopic model with additive norm bounded uncertainty. For such equivalent switched model, one designs its switching strategy and associated state feedback controllers and dynamic output feedback controllers so that whole switched model is asymptotical stabilization with H-infinity disturbance attenuation based on switched Lyapunov function and LMI approach. Finally, two numerical examples are presented to illustrate our results.

Keywords: discrete-time switched linear systems, exponential uncertainty, disturbance attenuation, state feedback, dynamic output feedback, LMIs

MSC numbers: 93C05, 93C55, 93D05, 93D21