Maximal controllability of input constrained unstable systems by the addition of implicit constraints

Title: Maximal controllability of input constrained unstable systems by the addition of implicit constraints
Creator: Medioli, Adrian; Seron, Maria; Middleton, Richard
Relation: Automatica Vol. 47, Issue 10, p. 2260-2266
Publisher Link: http://dx.doi.org/10.1016/j.automatica.2011.08.001
Publisher: Elsevier
Resource Type: journal article
Date: 2011
Description: The null controllable set of a system is the largest set of states that can be controlled to the origin. Control systems that have a region of attraction equal to the null controllable set are said to be maximally controllable closed-loop systems. In the case of open-loop unstable plants with amplitude constrained control it is well known that the null controllable set does not cover the entire state-space. Further the combination of input constraints and unstable system dynamics results in a set of state constraints which we call implicit constraints. It is shown that the simple inclusion of implicit constraints in a controller formulation results in a controller that achieves maximal controllability for a class of open-loop unstable systems.
Subject: maximal controllability; unstable systems; input constraints; MPC
Identifier: http://hdl.handle.net/1959.13/920594
Identifier: uon:9183
Identifier: ISSN:0005-1098
Language: eng
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