Output feedback control of a class of feedforward nonlinear systems in the presence of sensor noise

Abstract

We propose an output feedback controller for a class of feedforward nonlinear systems under sensor noise. The sensor noise is any signal whose DC component is finite, which covers not only deterministic signals but also random signals including many practical noises. We introduce a notion of virtual state, then propose a measurement output feedback controller that utilizes a gain scaling factor. The gain scaling factor is commonly employed by the observer and controller. Through analysis, we show that all system states and output remain to be bounded in the presence of sensor noise, and the bound of states except output can be made arbitrarily small. Moreover, if the DC component of sensor noise is zero, the ultimate bound of the states and output can be made arbitrarily small by increasing the gain scaling factor in the presence of sensor noise.

Second‐order consensus for nonlinear leader‐following multi‐agent systems via dynamic output feedback control

“…Without loss of generality, we only consider the communication topology graph given in Case 2. As that in , here the zero‐mean white noise signal with is used. In simulation, the white noise is generated from MATLAB (MathWorks, Inc., Natick, MA, USA) based on uniformly distributed random numbers.…”

Robust observer‐based output feedback controller for nonlinear systems with uncertain triangular and nontriangular nonlinearities and diagonal terms

“…Output feedback control problems have received much attention and a number of research results for nonlinear systems have been reported, eg, in other works . In the work of Choi and Lim, authors proposed an adaptive output feedback control scheme, which can deal with both triangular or feedforward nonlinear systems with unknown linear growth rate in a unified framework for global stabilization.…”

Output feedback control for a class of nonlinear systems with actuator degradation and sensor noise

“…The controller was coupled with a low-pass filter to attenuate the effect of sensor noise and rendered the system state ultimately bounded. Compared with [1], the condition of sensor noise in [2] was not limited to deterministic periodic signals and allowed to be a random signal having nonzero-mean. By introducing a notion of virtual state and using high-gain observer technique, the authors proposed a scaled output feedback controller for a class of feedforward system to render that all the system states and output remained to be bounded in the presence of sensor noise.…”

“…There exist some drawbacks in the design schemes of [1][2][3][4][5][6][7][8], that is, the effect of sensor noise on the system performance is only reduced not eliminated and sensor noise cannot be reconstructed. Besides, actuator fault is not considered.…”