2021/12/08 by Lai Wei, Wei, Lai, Ryan McCloy +3 · 1 citation
Engineering · #Fuel Cells and Related Materials #Control and Stability of Dynamical Systems #Membrane Separation and Gas Transport
paper · pdf · doi:10.48550/arxiv.2112.04699
Shifting away from the traditional mass production approach, the process\nindustry is moving towards more agile, cost-effective and dynamic process\noperation (next-generation smart plants). This warrants the development of\ncontrol systems for nonlinear chemical processes to be capable of tracking\ntime-varying setpoints to produce products with different specifications as per\nmarket demand and deal with variations in the raw materials and utility (e.g.,\nenergy). This article presents a systematic approach to the implementation of\ncontraction-based control for discrete-time nonlinear processes. Through the\ndifferential dynamic system framework, the contraction conditions to ensure the\nexponential convergence to feasible time-varying references are derived. The\ndiscrete-time differential dissipativity condition is further developed, which\ncan be used for control designs for disturbance rejection. Computationally\ntractable equivalent conditions are then derived and additionally transformed\ninto an SOS programming problem, such that a discrete-time control contraction\nmetric and stabilising feedback controller can be jointly obtained. Synthesis\nand implementation details are provided and demonstrated through a numerical\ncase study.\n