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Tao, Gang

Multivariable adaptive control: a survey. (English) Zbl 1300.93101

Automatica 50, No. 11, 2737-2764 (2014).
Summary: Adaptive control is a control methodology capable of dealing with uncertain systems to ensure desired control performance. This paper provides an overview of some fundamental theoretical aspects and technical issues of multivariable adaptive control, and a thorough presentation of various adaptive control schemes for multi-input-multi-output systems, literature reviews on adaptive control foundations and multivariable adaptive control methods, and related technical problems. It covers some basic concepts and issues such as certainty equivalence, stability, tracking, robustness, and parameter convergence. Moreover, some of the most important topics of adaptive control are discussed: plant uncertainty parametrization, stable controller adaptation, and design conditions for different adaptive control schemes. The paper also presents a detailed study of well-developed multivariable model reference adaptive control theory and design techniques. It provides an introduction to multivariable adaptive pole placement and adaptive nonlinear control, and it concludes by identifying some open research problems.

Cited in 61 Documents

MSC:

93C40 Adaptive control/observation systems
93C35 Multivariable systems, multidimensional control systems
93B55 Pole and zero placement problems
93B18 Linearizations
93B35 Sensitivity (robustness)

Keywords:

adaptive control; backstepping control; fault-tolerant control; certainty equivalence principle; feedback linearization; gain matrix decomposition; multivariable systems; model reference control; parameter estimation; parametrization; plant-model matching; pole placement control; robustness; stability and tracking; system uncertainties
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References:

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