Global output feedback control for large‐scale time‐delay systems with inherent nonlinearities and measurement uncertainty

Abstract

This paper investigates the problem of global state regulation by output feedback for a class of large-scale nonlinear time-delay systems with inherent nonlinearities and unknown measurement sensitivity. The uncertain nonlinearities are bounded by nonlinear growth of lower triangular unmeasurable (delayed) states multiplied by the unknown constant, polynomial-of-output and polynomial-of-input. Different from closely related works, the simultaneous existence of complicated nonlinearities and unknown measurement sensitivity makes the problem more involved and complex. Based on the dynamic gain scaling technique, we design a set of new adaptive output feedback controllers with a simpler structure by constructing two Lyapunov-Krasovskii functionals appropriately, which can globally regulate all states of the large-scale systems. An illustrative example is proposed to demonstrate the validity of the presented control scheme.

Output feedback H∞$$ {H}_{\infty } $$ control of linear systems with infinite distributed input delays

“…Time‐delayed systems modeled by functional differential equations are often more complex than delay‐free systems modeled by ordinary differential equations. Time‐delayed systems have received considerable attention in past years, such as References 3–10 and the references therein. The stabilization problem of systems with distributed input delays has been one of many interesting topics, and many significant results have been obtained in the case of known delays 11–13 or unknown delays 14,15 .…”

Adaptive control for stochastic nonlinear systems with time‐varying delays via multidimensional Taylor network

“…5,6 They are frequently subject to stochastic uncertainties and time delays, which makes their control a real challenge. 7 Stochastic uncertainties tend to arise from external disturbances or parameter perturbations, and physical actuator mechanism or signal transmission may lead to time-varying delays. To compensate for the uncertainties and time delays simultaneously, designing a nonlinear filter for valid state estimation as well as a robust and/or adaptive controller based on the estimation proves to be an effective methodology.…”

“…Stochastic nonlinear systems are widespread in modern industries, 1,2 for instance, aerospace, 3 process industry, 4 and electrical power system 5,6 . They are frequently subject to stochastic uncertainties and time delays, which makes their control a real challenge 7 . Stochastic uncertainties tend to arise from external disturbances or parameter perturbations, and physical actuator mechanism or signal transmission may lead to time‐varying delays.…”