Open AccessA TV-MPC Methodology for Uncertain Under-Actuated Systems: A Rotary Inverted Pendulum Case Study
Author(s) -
Farrukh Waheed,
Imran Khan,
Michael Valasek
Publication year - 2023
Publication title -
ieee access
Language(s) - English
Resource type - Journals
ISSN - 2169-3536
DOI - 10.1109/access.2023.3318108
Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation
This paper presents a systematic approach of formulating a Time-Varying Model Predictive Control (TV-MPC) framework for uncertain and under-actuated mechanical systems. The proposed methodology utilizes the nonlinear decomposed dynamics in conjunction with a special class of orthonormal basis functions - the Laguerre functions in the model structure. A possible numerical ill-conditioning problem, for large prediction horizons, has been coped with using the idea of exponential data weighting in the cost function, which results in condition number improvement, for the main TV-MPC algorithm. A rotary inverted pendulum is considered as a case study under-actuated system. The content of this research revolves around the TV-MPC treatment for cubic polynomial type reference position tracking problem using the decomposed nonlinear dynamics in the TV-MPC model structure and using Laguerre functions for future control trajectory modeling and motion predictions of the rotary servo arm and the pendulum bar. Finally, the applicability of TV-MPC algorithm is demonstrated with the help of simulation results for the subject benchmark system.