Brief A model reference adaptive controller for systems with uncertain relative degrees r,r+1 or r+2 and unknown signs of high-frequency gains

Authors:
Yoshihiko Miyasato
Affiliations:
The Institute of Statistical Mathematics, 4-6-7 Minami-Azabu, Minato-ku, Tokyo 106-8569, Japan
Venue:
Automatica (Journal of IFAC)
Year:
2000

Citing 4
Cited 0

A 4(n + 1)-dimensional model reference adaptive stabilizer for any relative degree one or two, minimum phase system of dimension n or less

Automatica (Journal of IFAC)
Stable adaptive systems

Stable adaptive systems
Robust adaptive control

Robust adaptive control
Nonlinear and Adaptive Control Design

Nonlinear and Adaptive Control Design

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Abstract

In the present paper, a design method of model reference adaptive controllers for processes with uncertain relative degrees r,r+1 or r+2(r@?N), and with unknown signs of high-frequency gains, is presented. This is an extension of Morse's adaptive controllers where it was assumed that the relative degrees are uncertain but known to be 1 or 2. It is shown that single adaptive control schemes can deal with unknown signs of high-frequency gains, and enlarged uncertainties of relative degrees compared with the previous works, and that the resulting model reference adaptive control systems are asymptotically stable.