TY - GEN
T1 - On stability of invariance controlled linear systems
AU - Wolff, Jan
AU - Buss, Martin
N1 - Publisher Copyright:
© 2007 EUCA.
PY - 2007
Y1 - 2007
N2 - Invariance control addresses the problem of control of nonlinear systems in the presence of state constraints. Admissibility with the constraints is guaranteed by keeping an admissible subset of state space positively invariant by switching of the control on the boundary of the set. This paper discusses application of invariance control on the special case of linear systems. For low order systems controlled by linear state feedback, it is shown that the resulting switching invariance control loop is asymptotically stable. The effectiveness of the approach is demonstrated by simulations of an example system.
AB - Invariance control addresses the problem of control of nonlinear systems in the presence of state constraints. Admissibility with the constraints is guaranteed by keeping an admissible subset of state space positively invariant by switching of the control on the boundary of the set. This paper discusses application of invariance control on the special case of linear systems. For low order systems controlled by linear state feedback, it is shown that the resulting switching invariance control loop is asymptotically stable. The effectiveness of the approach is demonstrated by simulations of an example system.
UR - http://www.scopus.com/inward/record.url?scp=84927747754&partnerID=8YFLogxK
U2 - 10.23919/ecc.2007.7069000
DO - 10.23919/ecc.2007.7069000
M3 - Conference contribution
AN - SCOPUS:84927747754
T3 - 2007 European Control Conference, ECC 2007
SP - 3281
EP - 3288
BT - 2007 European Control Conference, ECC 2007
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2007 9th European Control Conference, ECC 2007
Y2 - 2 July 2007 through 5 July 2007
ER -