2023/12/20 by Tadchanon Chuman, Suchin Arunsawatwong, Van Sy Mai +1
Engineering · Mathematics · #Applied mathematics #Bounding overwatch #Computer science #Control (management) #Control theory (sociology) #Dead zone #Frequency Control in Power Systems #Invariant (physics) #Magnitude (astronomy) #Mathematical optimization #Mathematics #Nonlinear system #Numerical methods for differential equations #Saturation (graph theory) #Stability and Control of Uncertain Systems
paper · doi:10.1080/00207179.2023.2291717
openalex publication_date 2023/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/14
This paper develops a methodology for designing a control system composed of a linear time-invariant system interconnecting with multiple decoupled time-invariant memoryless nonlinearities. The design problem is to determine parameters of the system such that its outputs and the nonlinearity inputs always remain within prescribed bounds for all exogenous inputs whose magnitude and slope satisfy certain bounding conditions. By using Schauder fixed point theorem, we show that a design associated with a linear system is also a solution of the problem. Based on this, we further develop surrogate design criteria in the form of the inequalities that can readily be solved in practice. Sufficient conditions for the solvability of such inequalities are given for deadzone and saturation. To show the usefulness and the effectiveness of the methodology, a design example of a load frequency control system with time delay is carried out where deadzone and saturation are taken into account.