TY - JOUR
T1 - Memoryless H∞ controllers for discrete-time systems with time delay
AU - Kapila, Vikram
AU - Haddad, Wassim M.
N1 - Funding Information:
Since feedback control system delays arise frequently in practice they can severely degrade closed-loop system performance and in some cases drive the system to instability. In continuous-time systems the presence of system time delay is characterized via mathematical system models governed by delay differential equations (Hale, 1977; Feliachi and Thowsen, 1981). Alternatively, in discrete-time systems the presence of system time delay is characterized via mathematical system models governed by delay difference equations (Verriest and Ivanov, 1995). Since most physical processes evolve naturally in continuous time, it is not surprising that the bulk of stability and control theory involving systems with time delay has been developed for con- *Received 10 February 1997; revised 4 December 1997; received in final form 2 March 1998. This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Editor Peter Dorato. Corresponding author Dr V. Kapila. Tel. (718) 260-3161; Fax (718) 260-3532; E-mail [email protected]. -Department of Mechanical, Aerospace, and Manufacturing Engineering Polytechnic University Brooklyn, NY 11201, U.S.A. ‡School of Aerospace Engineering, Georgia Institute of Technology Atlanta, GA 30332-0150, U.S.A. °Supported in part by the National Science Foundation under Grant ECS-9496249 and the Air Force Office of Scientific Research under Grant F49620-96-1-0125.
PY - 1998/9
Y1 - 1998/9
N2 - 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.
AB - 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.
KW - Discrete-time control
KW - H disturbance rejection
KW - Time delay
UR - http://www.scopus.com/inward/record.url?scp=0032162933&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0032162933&partnerID=8YFLogxK
U2 - 10.1016/S0005-1098(98)00054-5
DO - 10.1016/S0005-1098(98)00054-5
M3 - Article
AN - SCOPUS:0032162933
SN - 0005-1098
VL - 34
SP - 1141
EP - 1144
JO - Automatica
JF - Automatica
IS - 9
ER -