Nonlinear model predictive control with polytopic invariant sets

Using Subsets Sequence to Approach the Maximal Terminal Region for MPC

“…Remark 3. In [3,4,6], the linear feedback control is attached to the construction of f X and f X is the stabilizable region of using the linear feedback controller. In [5], a saturated local control law was used.…”

“…But, in this paper, there is no explicit control attached to the definition of f X . So, the requirement on f X is lower than that in [3][4][5][6] while guaranting the stability of the controlled system. From the definition of f X , it can not be determined whether a state point belongs to f X .…”

Complexity-driven construction of controlled invariant polytopic sets

“…Thus, although a number of works in the control research field deals with the characterization and computation of controlled invariant sets, there is small progress towards characterizing and constructing polytopic controlled invariant sets of bounded complexity and non-trivial size, except the works [20]- [24] that utilize heuristic methods combined with special types of polytopic sets. Motivated by this lack of systematic constructive methods and the need to compute controlled invariant sets of low complexity, the goal of this article is to establish the theoretical foundations for developing design methods of construction of admissible controlled contractive polytopic sets with specified complexity for discrete-time systems.…”

Stability Analysis and Control of Bilinear Discrete-Time Systems: A Dual Approach

“…For discrete-time systems, most approaches are based on model-based predictive control theory and feedback linearization, for instance Cannon et al (2003), Fontes et al (2008), Ekman (2005). Another possible approach, which leads to the computation of stabilizing linear state feedback control laws and polyhedral approximations of the domain of attraction can be found in Bitsoris et al (2008), Athanasopoulos et al (2010), both for the unconstrained and constrained case.…”