Abstract
This paper deals with passivity of adaptive output regulation of nonlinear exosystem. It is shown that factorisable low-high frequency gains and harmonic uncertainties are estimated to the exogenous signals with adaptive nonlinear system. The design methodology guarantees asymptotic regulation in the case where the dimension of the regulator is sufficiently large in relation, which affects the number of harmonics acting on the system. On the other hand, harmonics of uncertain amplitude, phase, and frequency are the major sources, and the bounded steady-state regulation error ensures that adaptive nonlinear system is globally asymptotically stable via passivity theory. Kalman–Yacubovitch–Popov property provides that the uncertain adaptive nonlinear system is passive. Finally, specific examples are shown in order to demonstrate the applicability of the result.
Highlights
It is well known that the passivity theory of deterministic nonlinear systems was first founded by [21], which is a powerful technique in handling stability issue and has important application in many engineering problems
The objective of our study is exosystem with internal model minimum phase based on n regulated outputs that are converted as single input nonlinear adaptive formation, with support of Kalman– Yacubovitch–Popov (KYP) property, this exosystem is derived for passivity
We investigated the problem of exosystem signals with adaptive nonlinear system of factorable low-high frequency gains
Summary
It is well known that the passivity theory of deterministic nonlinear systems was first founded by [21], which is a powerful technique in handling stability issue and has important application in many engineering problems. The objective of our study is exosystem with internal model minimum phase based on n regulated outputs that are converted as single input nonlinear adaptive formation, with support of KYP property, this exosystem is derived for passivity. It is showed; aircraft with follower aircraft communication error signals are interrelated to output regulation minimum phase nonlinear system These concepts are more useful to design the autopilot, state feedback controller based eigen structure assignment methods, and those are commonly used to aircraft handling qualities etc. We investigate global asymptotic stabilization the relationship between output regulation of passive system and corresponding minimum phase of adaptive nonlinear systems. Sufficient conditions derived for exosystem with n regulated outputs are converted as single input adaptive nonlinear form, and global asymptotic stability is provided via passivity theory.
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