access icon free Exponential stabilisation of positive singular linear discrete-time delay systems with bounded control

Inspired by the results obtained in Liu et al. (2008, 2009), this study extends the constrained control problem to singular linear positive discrete-time systems with delay. By using the singular value decomposition approach, delay-dependent sufficient conditions for the regularity, causality, positivity and exponential stabilisation with a given decay rate of the system are established in terms of linear programming problem. A numerical example to demonstrate the effectiveness of the proposed method is given.

Inspec keywords: linear systems; singular value decomposition; delay systems; discrete time systems; linear programming; asymptotic stability

Other keywords: exponential stabilisation; delay-dependent sufficient conditions; positive singular linear discrete-time delay systems; linear programming problem; constrained control problem; bounded control; singular linear positive discrete-time systems; singular value decomposition

Subjects: Stability in control theory; Algebra; Linear control systems; Optimisation techniques; Discrete control systems; Distributed parameter control systems

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