Abstract

Abstract This paper presents an adaptive control scheme to stabilize second order systems of the form y + a 1 * y ˙ + a 2 * y = b 0 * u ˙ + b 1 * u which may possibly be non-minimum phase. The adaptive control scheme achieves asymptotical stabilization through pole placement techniques without any a priori knowledge on the plant parameters. The adaptive control law is free from singularities in the sense that the plant estimated model is always controllable. The singularities have been overcome by a suitable modification of the parameter estimates which is based upon standard Least Squares covariance matrix properties.

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