Global exponential stability and H∞ control of limit cycle for switched affine systems under time-dependent switching signal

Highlights：

• Since the information of system states is difficult to obtain in the state-dependent switching function. The purpose of this paper is to design a time-dependent switching function assuring the state trajectories are globally attracted to an attractive set containing the desired limit cycle (which is selected from a set of attainable limit cycles).

• To the best of the authors’ knowledge there are only a few results dealing with stability of a limit cycle for continuous-time switched affine systems, no results dealing with globally exponentially stability of a limit cycle for continuous-time switched affine systems, which gives rise to the research motivation of this paper.

• The H guaranteed cost is considered to ensure the proper performance of the transient response, which a situation that cannot be taken into account in actual stability.