Tuning functions based adaptive backstepping control for uncertain strict-feedback nonlinear systems using barrier Lyapunov functions with full state constraints

Immersion and invariance based adaptive command filtered backstepping control design for a class of SISO uncertain nonlinear systems in strict-feedback form

“…It is challenging to develop efficient control strategies that can deal with the unknown parameters of nonlinear systems and achieve a better tracking performance. The adaptive backstepping control scheme has been widely investigated as an effective technique for a class of single-input and single-output (SISO) uncertain nonlinear systems in strict-feedback form (Ciliz, 2007; Kanellakopoulos et al, 1991; Krstić et al, 1995; Soukkou et al, 2023a; Soukkou and Labiod, 2015; Wang et al, 2016; Zhang et al, 2015; Zhou and Wen, 2008), and the stability of the closed-loop system has been proved by using the Lyapunov stability theory. The technique has been attracting considerable research attention recently.…”

“…Over the past few years, the tracking control issue of nonlinear systems has attracted considerable attention. The adaptive control schemes for a class of uncertain nonlinear systems are one of the challenging fields of nonlinear control engineering problems (Kanellakopoulos et al, 1991;Soukkou et al, 2023aSoukkou et al, , 2023bTee et al, 2009). Most adaptive control techniques are based on the parameter estimation.…”

Adaptive finite time command filtered backstepping control design for a class of uncertain full state constrained strict‐feedback nonlinear systems

“…The adaptive control schemes of uncertain nonlinear systems have attracted considerable attention due to great demands from the industrial applications. [1][2][3][4] Adaptive backstepping control, 2,5-10 adaptive dynamic surface control, [11][12][13][14][15][16][17][18] and adaptive command filtered backstepping control [19][20][21][22][23][24] have been utilized to design the controller of nonlinear systems.…”

“…It has been shown that the BLFs based adaptive backstepping control method for single-input and single-output (SISO) uncertain nonlinear systems in strict-feedback form has been widely employed in dealing with output or full state constraints. 3,25,26,31,32 As an alternative, the BLFs based adaptive command filtered backstepping control with full state constraints was proposed. 33,34 Besides, the BLFs based adaptive dynamic surface control with full state constraints was also developed.…”

“…The barrier Lyapunov functions (BLFs) are applied to solve the problems of state or output constraints 25,26 . There are various type of BLFs in the literatures such as the log‐type BLFs, 3,26,27 the integral‐type BLFs, 28,29 the tan‐type BLFs, 30 and so on. It has been shown that the BLFs based adaptive backstepping control method for single‐input and single‐output (SISO) uncertain nonlinear systems in strict‐feedback form has been widely employed in dealing with output or full state constraints 3,25,26,31,32 .…”