Robust Finite-Time ℋ∞ Control for Uncertain Systems Subject to Intermittent Measurements

Abstract EN

This paper investigates the robust finite-time ℋ∞ controller design problem of discrete-time systems with intermittent measurements.

It is assumed that the system is subject to the norm-bounded uncertainties and the measurements are intermittent.

The Bernoulli process is used to describe the phenomenon of intermittent measurements.

By substituting the state-feedback controller into the system, a stochastic closed-loop system is obtained.

Based on the analysis of the robust stochastic finite-time stability and the ℋ∞ performance, the controller design method is proposed.

The controller gain can be calculated by solving a sequence of linear matrix inequalities.

Finally, a numerical example is used to show the design procedure and the effectiveness of the proposed design methodology.