Global state regulation by output feedback for feedforward systems with input and output dependent incremental rate

Output feedback stabilization of time‐delay nonlinear systems with unknown continuous time‐varying output function and nonlinear growth rate

“…It is worth noticing that expensive sensors, physical difficulties, and effects of noises could make some state variables unapplicable, so the designer has to reconstruct them appropriately, where the systematic methodology can be found in the books . Combining the construction of the observers with backstepping, adding a power integrator and homogeneous domination, a number of results have been received in References for the output feedback stabilization of uncertain nonlinear systems with various structures and restrictions. Recently, Reference made progress toward nonlinear systems with unknown output functions by applying a feedback domination design to suppress uncertainties, and the motivation comes from the fact that the limited measurement techniques and tools render that the sensors fail to detect system states accurately in practice; that is, an accurate output may not be achieved in some cases.…”

Global adaptive regulation of feedforward nonlinear time‐delay systems by output feedback

“…On the other hand, time delay is often encountered in aerospace systems, marine robotics, network control, population dynamics, and many other applications as shown in [18]. To deal with time-delay nonlinear systems, some attempts have been made in recent years such as [19][20][21][22][23][24][25][26][27][28][29][30][31][32]. In particular, with the aid of the Lyapunov-Krasovskii theorem or the Lyapunov-Razumikhin theorem, several controller design schemes were proposed under different growth conditions in [19][20][21][22][23][24].…”

Adaptive output feedback regulation for a class of uncertain feedforward nonlinear systems

“…One issue is to use the convergent observer introduced in [14]. On the other hand, the problem of output feedback regulation has been investigated for feedforward nonlinear system such as [15][16][17][18] and [19]. Indeed, for a general class of such systems, in [9] and [11], the adaptive output feedback control schemes has been proposed by using dynamic gain scaling technique.…”

“…When only the first component of the state is measured, a relatively small class of nonlinear feedforward systems is globally stabilized by output feedback in [17]. In the case when the growth rate does not contain an unknown constant and depends not only on the input state but also on the output state, a novel observer-based controller with gain exponent is constructed to achieve the global state regulation in [18]. For such class of systems, when the growth rate contain an unknown constant and the output's power is in 0; 1 2n , the problem of output regulation is considered in [19].…”

“…In this paper, we solve the problem of global regulation by output feedback for a family of uncertain nonlinear systems (1). The main contribution of this paper is to consider an uncertain functions which are more general than those in [17,18], and [19]. Precisely, the growth rate contains an unknown constant, an input function and an output polynomial function with a power in 0; 1 n 1 .…”