NDLI: On asymptotic closed-loop performance for linear MPC with terminal constraints

Content Provider	IEEE Xplore Digital Library
Author	Maree, J.P. Imsland, L.
Copyright Year	2013
Description	Author affiliation: Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim, Norway (Maree, J.P.; Imsland, L.)
Abstract	Employing Lyapunov theorems, under mild conditions, to establish asymptotic stability of the origin, is now common practice in the field of regulatory Model Predictive Control (MPC). However, feasibility and stability does not necessarily constitute towards optimality. By optimality we imply the closed-loop optimality of a receding-horizon control law with respect to the infinite-horizon cost function. Recent results in literature has quantified the sub-optimal closed-loop performance of stabilizing, receding-horizon control laws for MPC formulations with stabilizing terminal state regions. In this work we extend on the aforementioned results on performance, by stipulating necessary conditions under which one can compare asymptotic closed-loop performance of different MPC formulations with terminal regions of varying size. In particular, we present results for linear MPC where one can apply inverse optimality to some degree; hence, conclude results for asymptotic closed-loop performance. The developed concepts are illustrated on two numerical linear case studies.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	357
Ending Page	362
File Size	204022
Page Count	6
File Format	PDF
ISBN	9781467355339
e-ISBN	9781467355346
DOI	10.1109/CCDC.2013.6560948
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-05-25
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Asymptotic stability Receding-horizon Control Asymptotic Closed-loop Performance Optimal control Inverse Optimality Cost function Stability analysis Trajectory Numerical stability
Content Type	Text
Resource Type	Article

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