Invariant approximations of the minimal robust positively Invariant set
نویسندگان
چکیده
منابع مشابه
The Minimal Robust Positively Invariant Set for Linear Difference Inclusions and its Robust Positively Invariant Approximations
Robust positively invariant (RPI) sets for linear difference inclusions are considered here under the assumption that the linear difference inclusion is absolutely asymptotically stable in the absence of additive state disturbances, which is the case for parametrically uncertain or switching linear discrete-time systems controlled by a stabilizing linear state feedback controller. The existence...
متن کاملInvariant Approximations of the Maximal Invariant Set or ``Encircling the Square''
This paper offers a method for the computation of invariant approximations of the maximal invariant set for constrained linear discrete time systems subject to bounded, additive, disturbances. The main advantage of the method is that it generates invariant sets at any step of the underlying set iteration. Conditions under which the sequence of generated invariant sets is monotonically non–decre...
متن کاملUniform Persistence and Flows Near a Closed Positively Invariant Set
In this paper, the behavior of a continuous flow in the vicinity of a closed positively .invariant subset in a metric space is investigated. The main theorem in this part in some sense generalizes previous results concerning classification of the flow near a compact invariant set in a locally compact metric space which was described by Ura-Kimura (1960) and Bhatia (1969). By applying the obtain...
متن کاملMPC for Systems with Variable Time-delay - Robust Positive Invariant Set Approximations
This paper deals with the control design for systems subject to constraints and affected by variable time-delay. The starting point is the construction of a predictive control law which guarantees the existence of a nonempty robust positive invariant (RPI) set with respect to the closed loop dynamics. In a second stage, an iterative algorithm is proposed in order to obtain an approximation of t...
متن کاملInvariant approximations of robustly positively invariant sets for constrained linear discrete-time systems subject to bounded disturbances
This paper provides results on invariant approximations of robustly positively invariant sets for a discrete-time, linear, time-invariant system subject to state constraints. Two important sets, the minimal and the maximal robustly positively invariant sets and their approximations are investigated. Novel procedures for the computation of invariant approximations to these sets are presented. It...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2005
ISSN: 0018-9286
DOI: 10.1109/tac.2005.843854