2013
DOI: 10.1002/acs.2462
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A novel adaptive control approach for nonlinearly parameterized systems

Abstract: Nonlinearly parameterized systems are commonly encountered in control of practical systems. However, the conventional adaptive estimation and control strategies, based on the essential assumption of linear parameterization, are incapable of dealing with this class of systems. This incapability in turn becomes a bottleneck for prevalent applications of adaptive control. In literature, there have been some attempts to break through this bottleneck by investigating the characteristics of nonlinearities. However, … Show more

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Cited by 13 publications
(3 citation statements)
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References 38 publications
(40 reference statements)
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“…In [19,20], fuzzy logic systems were employed to estimate the lumped unknown functions. In [21][22][23][24], adaptive techniques were used to reject the model uncertainties and compensate the effects of external disturbances. Nevertheless, the above systems work with periodic sampling and controlling in these studies , known as periodic-triggered control systems.…”
Section: Introductionmentioning
confidence: 99%
“…In [19,20], fuzzy logic systems were employed to estimate the lumped unknown functions. In [21][22][23][24], adaptive techniques were used to reject the model uncertainties and compensate the effects of external disturbances. Nevertheless, the above systems work with periodic sampling and controlling in these studies , known as periodic-triggered control systems.…”
Section: Introductionmentioning
confidence: 99%
“…As a pioneering work, Kanellakopoulos et al first proposed the famous integrator backstepping to systematically solve the adaptive control problem for nonlinear systems in parametric strict‐feedback form. Later, the method of overcoming the drawback of overparameterization was given in the work of Krstić et al Since then, a series of stabilizing schemes involving nonlinear and adaptive control were well documented in other works and the references therein.…”
Section: Introductionmentioning
confidence: 99%
“…1 Compared with the traditional adaptive control, the most appealing merit of NNAC is that the modelling difficulty in many practical control problems can be greatly mitigated resulting in the simplification of control synthesis for a wider class of nonlinear systems with functional uncertainties. 2 However, in most existing NNAC methods, eg, see some recent works, [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] the ability of NNs to learn plant uncertainties is not completely exploited and only tracking error convergence is available. The ability to learn for NNs, reflected by the convergence of NN weights, is guaranteed by the well-known condition termed persistent excitation (PE).…”
Section: Introductionmentioning
confidence: 99%