Linear functional state bounding for linear discrete-time systems with delays and bounded disturbances
Abstract
This paper presents an extened result on linear functional state bounding for linear discrete-time systems with delays and bounded disturbances. Based on the Lyapunov method, a sufficient condition for the existence a linear functional state bounding is derived in terms of linear matrix inequalities which can be solved by many existing nummerical algorithms. To increasing the effectiveness of derived condition, we propose to use an augmented Lyapunov-Krasovskii functional and it derivative is estimated by using the discrete-time Wirtingerbased inequality combined with an reciprocally convex inequality. Lastly, a nummerical example is considered to illustrate the effectiveness of the obtained result.