Input‐to‐state practical stability analysis and controller design of switched affine systems: An observer‐based approach

Abstract This paper addresses the problems of the input‐to‐state practical stability (ISPS) analysis and output feedback controller design for switched affine systems (SASs) subject to external disturbances. First, a switched affine observer is developed to estimate unmeasurable states. Then by combining the sampled‐data control approach, a less conservative mode‐dependent dynamic event‐triggered mechanism (ETM) is established. The proposed dynamic ETM cannot only avoid Zeno behavior but also reduce the network transmission burden effectively. Further, based on time‐dependent Lyapunov‐Krasovskii functional and state‐dependent switching laws, a set of feasible ISPS conditions are presented in the LMI forms by means of singular value decomposition. The designed switching law depends upon the sampled‐data information of the estimated state and gets rid of the chattering phenomenon. Finally, an application example of the DC‐DC flyback converter is given to verify the efficacy of the proposed algorithm.