TY - JOUR ID - 118862 TI - A Generalization for Model Reference Adaptive Control and Robust Model Reference Adaptive Control Adaptive Laws for a Class of Nonlinear Uncertain Systems with Application to Control of Wing Rock Phenomenon JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Roshanian, J. AU - Rahimzadeh, E. AD - Department of Aerospace Engineering, K.N. Toosi University of Technology, Tehran, Iran Y1 - 2020 PY - 2020 VL - 33 IS - 11 SP - 2372 EP - 2383 KW - Lyapunov's direct method KW - Model Reference Adaptive Control KW - Robust Model Reference Adaptive Control KW - General adaptive laws KW - Strictly Increasing Function KW - Wing Rock DO - 10.5829/ije.2020.33.11b.28 N2 - Lyapunov's direct method is a primary tool for designing Model Reference Adaptive Control (MRAC) and robust MRAC schemes. In general, Lyapunov function candidates contain two categories of quadratic terms. The first category includes the system tracking error quadratic terms or, in some cases, consist of the system state quadratic terms. The second consists of the parameter estimation error quadratic terms. To design MRAC and Robust MRAC systems, researchers have used a limited variety for choosing quadratic terms. In this study, we consider a general form for the tracking error quadratic terms. We consider a strictly increasing function that belongs to the class of c1, which is a function of state tracking error quadratic terms. It yields a general structure for stable adaptive laws for updating controller parameters. For the MRAC scheme, the global asymptotic stability of the closed-loop system and stability and uniform bounded tracking of robust MRAC schemes are guaranteed. To evaluate the performance of the designed controllers, we consider the single DOF wing rock dynamics. UR - https://www.ije.ir/article_118862.html L1 - https://www.ije.ir/article_118862_a2813259675d078961da1c32dbcc42de.pdf ER -