Predictive ESO-based control with guaranteed stability for uncertain MIMO constrained systems

In this paper, a novel predictive Extended State Observer (ESO)-based discrete controller with guaranteed input-to-state stability is developed. Predictive controllers based on ESOs are gaining acceptance for regulating MIMO systems with disturbances, uncertainties or actuator constrains. However, there is an important concern about this control structure regarding its closed-loop stability; a key property that is not strictly guaranteed with the most part of the previous formulations. This paper shows that -under the same assumptions that are normally taken in the ESO literature- a predictive ESO-based controller that is proved to be input-to-state stable can be easily constructed by adding two fixed terms in the cost-index definition. A simulation case study of the glucose control in patients with type-1 diabetes is additionally given in order to illustrate the main advantages of this control structure. (C) 2020 ISA. Published by Elsevier Ltd. All rights reserved.

Automated summary

In this paper, a novel predictive controller based on ESO is developed, with a simulation case study illustrating its advantages for regulating MIMO systems with disturbances, uncertainties, or actuator constrains. The controller ensures input-to-state stability under the same assumptions as in the ESO literature.