Adaptive fuzzy observer with minimal dynamic order for uncertain nonlinear systems

Observer-based indirect adaptive fuzzy control for SISO nonlinear systems with unknown gain sign

“…During the last decade, much progress has been made in the field of observer design, and many observer-based adaptive fuzzy control schemes have been proposed for uncertain nonlinear systems [20,[27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Among them [27, 31-33, 35, 38] are for SISO nonlinear systems, [20, 28-30, 34, 39, 42, 43] are for MIMO nonlinear systems, and [40,41] are for strick feedback nonlinear systems.…”

Observer-based indirect adaptive fuzzy sliding mode control with state variable filters for unknown nonlinear dynamical systems

“…It implies that as one could not obtain all elements of the tracking error vector, the conventional adaptive laws would be difficult to realize. In order to treat this problem, several studies apply an observer to estimate the tracking error vector [9,10,12,13,20,22] and use the SPR-Lyapunov design approach [15] to design an adaptive scheme [9,10,13,20,22].…”

“…. , Q (x)] T by(13).Step 2: Select the observer gain vector L = [−200, −600] min (Q) > 1. After solving (24), we obtain P = 0.67 −2 −2 6.0034.…”

Observer-based Variable Universe Adaptive Fuzzy Controller Without Additional Dynamic Order

“…According to the work in [27,28,36], in the control design, the filtered signals of FBF vector, ur, and ua are all included in the lumped uncertainty 2. The filter L −1 (s) appearing in the lumped uncertainty 2 is just for analysis purpose.…”