Abstract
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom |
| Place of Publication | London |
| Publisher | Institution of Engineering and Technology (IET) |
| Pages | 613-619 |
| ISBN (Print) | 978-184600-0386 |
| Publication status | Published - 2010 |
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Further input-to-state stability subtleties for discrete-time systems. / Lazar, M.; Heemels, W.P.M.H.; Teel, A.R.
Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom. London : Institution of Engineering and Technology (IET), 2010. p. 613-619.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
TY - GEN
T1 - Further input-to-state stability subtleties for discrete-time systems
AU - Lazar, M.
AU - Heemels, W.P.M.H.
AU - Teel, A.R.
PY - 2010
Y1 - 2010
N2 - This paper considers input-to-state stability (ISS) analysis of discrete-time systems using continuous Lyapunov functions. The contributions are as follows. Firstly, the existence of a continuous Lyapunov function is related to inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8 - continuous, this result applies to unbounded sets as well. Secondly, continuous control Lyapunov functions are employed to construct input-to-state stabilizing control laws for discrete-time systems subject to bounded perturbations. The goal is to design a receding horizon control scheme that allows the optimization of the ISS gain along a closed-loop trajectory.
AB - This paper considers input-to-state stability (ISS) analysis of discrete-time systems using continuous Lyapunov functions. The contributions are as follows. Firstly, the existence of a continuous Lyapunov function is related to inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8 - continuous, this result applies to unbounded sets as well. Secondly, continuous control Lyapunov functions are employed to construct input-to-state stabilizing control laws for discrete-time systems subject to bounded perturbations. The goal is to design a receding horizon control scheme that allows the optimization of the ISS gain along a closed-loop trajectory.
M3 - Conference contribution
SN - 978-184600-0386
SP - 613
EP - 619
BT - Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom
PB - Institution of Engineering and Technology (IET)
CY - London
ER -