Modification of a steepest descent control for output tracking of some class non-minimum phase nonlinear systems

A gradient descent control for output tracking of a class of non-minimum phase nonlinear systems

“…On the other hand, Firman, Naiborhu, and Saragih (2015) have applied the modified steepest descent control for that system output will be redefined such that the system becomes minimum phase with respect to a new output.…”

Output tracking of some class non-minimum phase nonlinear systems via output redefinition

“…To perform an exact linearization, the output should be selected such that its relative degree is equal to the dimension of the system. Results on stabilization of non-minimum phase system in the output feedback form have been presented in In [7], [8], [9]. The main idea in [7], [8], [9] is output reconstruction such that becomes minimum phase with respect to a new output.…”

“…Results on stabilization of non-minimum phase system in the output feedback form have been presented in In [7], [8], [9]. The main idea in [7], [8], [9] is output reconstruction such that becomes minimum phase with respect to a new output. In this paper, we will modify the steepest descent control for output tracking of a class non-minimum phase nonlinear uncertain systems, with relative degree being n − 1, n is the dimension of the system.…”

Output Tracking of Some Classes of Non-minimum Phase Nonlinear Systems By Redefinition Output Approach

“…The main idea in [3], [4], [5] is output reconstruction such that the original nonlinear systems becomes minimum phase with respect to a new output. Results on output tracking of some classes of non-minimum phase nonlinear system have been presented in [6], [7]. In [6], The design of the input control is based on the exact linearization.…”

“…For case b(ξ, η, θ) = 0 for a time t, we apply the modified gradient descent control [7]. Let η(t) is a virtual output of the systems and η d (t) is the virtual desired output,and equilibrium point of the internal dynamics of normal form of the system.…”