Robust adaptive control of nonlinear uncertain plants with unknown dead-zone

Observer-based adaptive fuzzy-neural control for a class of uncertain nonlinear systems with unknown dead-zone input

“…Step 5: The observer and feedback gain vectors are selected as k c = [10,50] , L = [60, 900] T , respectively. The design parameters are chosen as b rmin = 0.1, b rmax = 0.6, b lmin = −0.7, b lmax = −0.1, m min = 0.85, m max = 1.25, k * = 2.5, γ 1 = γ 2 = 10 and α = 1.…”

“…Different adaptive control schemes have been proposed for nonlinear systems under various uncertain nonlinearities, see for example, [1][2][3][4][5][6][7][8][9][10][11] and the references therein. It is required that an accurate model of the plant is available, and the unknown parameters are assumed to appear linearly with respect to known nonlinear functions [1,2,[4][5][6][7][8][9][10][11], or the unknown functions are bounded by pth-order polynomial bounds [3]. However, this essential assumptions are not applicable to many practical situations.…”

“…Several adaptive state feedback control schemes were studied in [39,1,[5][6][7][8]10] to handle dead-zone nonlinearity by using dead-zone inverse or introducing sign functions to compensate the dead-zone. The adaptive control schemes via the output feedback for uncertain nonlinear systems with dead-zone input were addressed in [9,11].…”

Design of uncertain multi-input systems with state delay and input deadzone nonlinearity via sliding mode control

“…In Example 1 of this paper, it can be found that if one ignores the nonlinearity in the input, poor performance of the system is resulted. Consequently, the stabilization problem of uncertain control systems with input nonlinearities has become an important issue in the past couple of years [1][2][3][4][5][13][14][15][16][17][18][19][20][21]. For example, the stabilization problem of switched linear systems subjected to actuator saturation is studied in [1].…”

“…In [2], a class of discrete-time systems which is described by the Hammerstein model, and the Hammerstein system identification is considered in the presence of preload and dead-zone nonlinearities. By using the backstepping technique and adaptive control algorithm, a class of uncertain nonlinear systems with unknown dead-zone nonlinearity is studied by Zhou and Shen [3]. Corradini et al [4] proposed a time-varying sliding surface for stabilizing linear multi-input plants with input saturation.…”