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Robust linear regulator design for discrete-time systems under polyhedral constraints

✍ Scribed by Basílio E.A. Milani; Andréa N. Carvalho

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
516 KB
Volume
31
Category
Article
ISSN
0005-1098

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✦ Synopsis

Ahstraet-The robust linear constrained regulation problem for uncertain linear discrete-time systems (A, B) is investigated using the theory of positively invariant polyhedral sets. Closed and bounded polyhedral uncertain domains are considered, involving parameters of both A and B-matrices and polyhedral constraints on both state and control vectors. New sufficient conditions for the solvability of the regulation problem are presented. For computational solution of the regulation problem, a linear programming approach is proposed where the constraints are given by the solvability conditions and the performance index represents a guaranteed trade-off between the closed-loop stability margin and the level of control effort.

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