An innovative algorithm for tuning of composite nonlinear feedback control in continuous‐time systems

Abstract

The transient response improvement is the most crucial feature of the composite nonlinear feedback (CNF) controllers. This study proposes a novel CNF tuning method for systems subject to saturation. To achieve the goals, the linear part is optimally obtained via a performance index and the linear matrix inequality (LMI). Then, employing the passivity property, a heuristic way is suggested to adjust the nonlinear term. Thus, the automatic and online features would be the key novelties of this algorithm compared with the offline, trial and error, or nonautomatic ones. Some systems are simulated to evaluate the technique and compare with the existing methods. The outcomes confirm that the proposed tuning yields outstanding improvement concerning the aforementioned systems.

Addressing asymmetric saturation in chaotic Chua's circuit switched system: A combined adaptive sliding mode strategy

“…On the other hand, the ISM control technique is specifically designed to ensure high performance and robustness throughout the trajectory of the closed‐loop system, while also expediting the reaching phase. Previous studies 17,18 have extensively explored the development and application of ISM control in accomplishing these objectives. Moreover, in Reference 19, a continuous CNF‐ISM control scheme was implemented to optimize the operation of an offshore container crane, particularly in scenarios involving uncertainties and input nonlinearity.…”

Observer-based integral controller using composite nonlinear feedback for saturated control systems

“…The perturbed systems are synchronized by passive methods (Su et al, 2022). The passivity concept has been employed in parameter tuning of the CNF control law (Vazani and Ghaffari, 2022).…”