A formulation to validate the design selections stated in the linear active disturbance rejection control technique

The attainable control performance of the linear time-invariant (LTI) system, controlled using the linear active disturbance rejection control (LADRC) technique, relies on its design selections, such as structure selection, order selection, tuning parameters selection, and tuning methodology selection. Each of the above LADRC design selections has an array of possibilities. So, stating reasonable choices in each design and determining whether or not the stated combination of LADRC design selection could attain the system’s targeted performance without involving a trial-and-error approach is challenging. Hence, mapping the relationship between the qualitative LADRC design selections and the quantitative control performance is needed. Based on the necessity, a validation formulation is proposed in this paper with the insight of a unique tuning methodology. The idea of the tuning methodology begins with the requirement of stating a reasonable choice in each of the LADRC design selections. Using that stated combination of LADRC design selection, the formulation applies them to the LTI system and finds the attainable control performance range. Within that range, whether or not the targeted performance gets captured is the final check of the formulation. If captured, the stated combination of LADRC design selection is justifiable to attain the targeted requirement; if not, making changes in the stated selections is justifiable. The simulation section of this paper provides the implications of the proposed validation formulation through the numerical LTI system models controlled using the stated LADRC design selections of this paper’s interest.