WebApr 26, 2024 · The triggering condition and the waiting horizon are synthesized based on a prediction model of the plant and a robust positively invariant set associated with it. Under mild conditions, recursive feasibility and closed-loop robust stability are guaranteed. Two examples are used to show the effectiveness and merits of the proposed approach. WebIn mathematical analysis, a positively (or positive) invariant set is a set with the following properties: Suppose x ˙ = f ( x ) {\displaystyle {\dot {x}}=f(x)} is a dynamical system , x ( t , x 0 ) {\displaystyle x(t,x_{0})} is a trajectory, and x 0 {\displaystyle x_{0}} is the initial point.
How do I compute Minkowski sum and update Robust …
WebDec 1, 2006 · Two methods for handling degenerate case are proposed and two novel families of robust positively invariant sets are characterized. The minimal robust positively invariant set can be... WebFeb 1, 2005 · The associated value function is zero in a disturbance invariant set that serves as the ‘origin’ when bounded disturbances are present, and permits a strong stability result, namely robust exponential stability of the disturbance invariant set for the controlled system with bounded disturbances, to be obtained. ruby beames
Invariant approximations of the minimal robust …
Webof the mRPI set be invariant. The approximation methods reviewed in [1, Sects. 6.4–6.5] and [2] are clearly inadequate for our purpose. Hence, the aim of this paper is to provide a solution to this problem by providing a number of new results that allow for the computation of a robust positively invariant approximation of the mRPI set. We WebOct 10, 2010 · Abstract In this paper, we develop an algorithm for the efficient computation of Robust Positively Invariant sets for linear discrete-time systems subject to bounded additive disturbances and... WebSep 1, 2024 · A set Ω ⊂ R n is a robust positively invariant set (RPI) of the system (1) provided that x (d, x 0, t 0) (t) ∈ Ω for all t ∈ [t 0, ∞), for all x 0 ∈ Ω and for all d ∈ D. Definition 2. We denote by M the maximal robust positively invariant set (MRPI) of the system (1)–(2) contained in G. In other words, M is the union of all ... ruby bearded dragon