Dynamic Output Feedback H∞ Control for a Class of Switched Linear Systems with Exponential Uncertainty

The dynamic output feedback robust H-infinity control problem is investigated for switched linear systems with exponential uncertainties in this note. Aiming at the effect of exponential uncertainties, we firstly treats the uncertain exponential terms as polynomial uncertainty with an additive norm bounded uncertainty based on Taylor series approximation and convex polytopic technique. Secondly, a switching strategy and dynamic output feedback controllers are designed to guarantee the H-infinity performance of whole switched system by using switched Lyapunov function technology and LMI approach. Finally, a numerical example is presented to illustrate our results.