2016/05/27 by Pantelis Sopasakis, Sopasakis, Pantelis, Haralambos Sarimveis +1 · 1 citation
Engineering · Medicine · #Advanced Control Systems Design #Advanced Control Systems Optimization #FOS: Mathematics #Optimization and Control (math.OC) #Pancreatic function and diabetes
paper · pdf · doi:10.48550/arxiv.1605.08719
openalex publication_date 2016/05/27 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
In this paper we propose a model predictive control scheme for constrained\nfractional-order discrete-time systems. We prove that all constraints are\nsatisfied at all time instants and we prescribe conditions for the origin to be\nan asymptotically stable equilibrium point of the controlled system. We employ\na finite-dimensional approximation of the original infinite-dimensional\ndynamics for which the approximation error can become arbitrarily small. We use\nthe approximate dynamics to design a tube-based model predictive controller\nwhich steers the system state to a neighbourhood of the origin of controlled\nsize. We finally derive stability conditions for the MPC-controlled system\nwhich are computationally tractable and account for the infinite dimensional\nnature of the fractional-order system and the state and input constraints. The\nproposed control methodology guarantees asymptotic stability of the\ndiscrete-time fractional order system, satisfaction of the prescribed\nconstraints and recursive feasibility.\n