Abstract
In this study, the finite-time H ∞ control problem for a class of switched affine non-linear systems is discussed in both continuous-time and discrete-time contexts. Firstly, the concepts of finite-time boundedness are extended to switched non-linear systems in both continuous-time and discrete-time cases, respectively. Secondly, based on the Lie derivative and iteration technique, some sufficient conditions, which can guarantee that switched affine non-linear systems are finite-time bounded with a prescribed H ∞ performance, are derived by applying the mode-dependent average dwell time and the multiple Lyapunov functions. It is worth pointing out that each subsystem satisfies finite-time boundedness in the activation interval, and not in the whole time domain. Finally, two numerical examples are given to illustrate the feasibility and effectiveness of the obtained results.
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