An adaptive predictive regulator with input saturations

doi:10.1016/0005-1098(95)00166-2

Automatica

Volume 32, Issue 4, April 1996, Pages 597-601

https://doi.org/10.1016/0005-1098(95)00166-2 Get rights and content

Abstract

Two approaches for the adaptive predictive control of SISO linear time-invariant plants subject to saturations on both the control variable and its increment are investigated. In the desaturating approach, the saturations are disregarded in the design phase, and their impact on performance is reduced by resorting to an anti-windup implementation of the controller. In the optimisation approach, at each time step an optimisation problem is solved that explicitly takes into account the presence of saturation constraints. Using a predictive control scheme with terminal input and output constraints, BIBO stability is proven for both approaches in the non-adaptive case. These results are exploited to prove BIBO stability also in the adaptive case for the desaturating approach as well as for a mixed desaturation/optimisation scheme.

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Citation Excerpt :
Unfortunately, since most practical systems have some kind or another uncertainty, it might be difficult to obtain an exact model of the controlled system. One of the attractive ways to solve the problem on model uncertainty is adaptive control and adaptive type predictive controls have been investigated (Fukushima, Kim, & Sugie, 2007; Martin Sanchez & Rodellar, 1996; Nicolao, Scattolini, & Sala, 1996; Yoon & Clarke, 1994). In Yoon and Clarke (1994), an adaptive GPC with a recursive least squares parameter estimator, which is a standard STC-type adaptive predictive strategy, was presented, and in Martin Sanchez and Rodellar (1996), an adaptive predictive control is provided for an extended predictive control method and its applications to practical systems have been presented.
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^☆: This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor I.M.Y. Mareels under the direction of Editor C. C. Hang.

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Brief paperAn adaptive predictive regulator with input saturations☆

Abstract

Comput. Chem. Engng.

Syst. Control Lett.

Automatica

Automatica

Automatica

On the stability of adaptive pole placement controllers with a saturating actuator

IEEE Trans. Autom. Control

Constrained stabilization of discrete-time systems

Constrained receding horizon predictive control

Robustness of an adaptive predictive controller

IEEE Trans. Autom. Control

Stability and output terminal constraints in predictive control

On the robustness of receding-horizon control with Terminal Constraints

IEEE Trans. Autom. Control

Adaptive pole placement control subject to input amplitude constraints

Brief paper
An adaptive predictive regulator with input saturations☆