(A,B)-invariant polyhedral sets of linear discrete-time systems
Journal of Optimization Theory and Applications
Brief paper: The minimal disturbance invariant set: Outer approximations via its partial sums
Automatica (Journal of IFAC)
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
The invariant set theory of multiple valued iterative dynamical systems
ICOSSSE'08 Proceedings of the 7th WSEAS international conference on System science and simulation in engineering
Automatica (Journal of IFAC)
Homothetic tube model predictive control
Automatica (Journal of IFAC)
Probabilistic set invariance and ultimate boundedness
Automatica (Journal of IFAC)
Hi-index | 22.15 |
We examine discrete-time control systems under non-parametric disturbances. Sets which a given control feedback makes invariant under the disturbance are analyzed via lifting the feedback operation to the space of sets. Properties of being an attractor of the disturbed dynamics and being a minimal invariant set are derived from the corresponding notions of the set-dynamics, yielding, in turn, useful characterizations and error estimates for numerical algorithms which detect the minimal invariant sets. Concrete numerics for some examples of practical feedback rules are offered.