This paper considers the problem of H∞ stabilization of discrete-time systems with state delays and exogenous bounded-energy l2 disturbances. Specifically, an H∞ state feedback control design problem for discrete-time systems with time delay is addressed. The principal result involves sufficient conditions in terms of a modified Riccati equation for characterizing state feedback controllers that enforce a bound on H∞ performance and guarantee closed-loop stability in the face of system state delay.
- Discrete-time control
- H disturbance rejection
- Time delay
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering