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On the Boundedness of the Set of Stabilizing Controllers by Waqar A. Malik; Swaroop Darbha; S. P. Bhattacharyya is a Engineering article available to read on EtoBox.

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## Abstract This paper shows that the set of rational, strictly proper, robustly stabilizing controllers for single‐input single‐output linear‐time invariant plants will form a bounded (can even be empty) set in the controller parameter space if and only if the order of the stabilizing controller cannot be reduced any further; if the set of proper stabilizing controllers of order __r__ is not empty and the set of strictly proper controllers of order __r__ is bounded, then __r__ is the minimal order of stabilization. The paper also extends this result to characterize the set of controllers that guarantee some pre‐specified performance specifications. In particular, it is shown here that the minimal order of a controller that guarantees specified performance is __l__ iff (1) there is a controller of order __l__ guaranteeing the specified performance and (2) the set of strictly proper, robustly stabilizing controllers of order __l__ and guaranteeing the performance is bounded. Moreover, if the order of the controller is increased, the set of higher‐order controllers which satisfies the specified performance will necessarily be unbounded. This characterization is provided for performan

Who reads On the Boundedness of the Set of Stabilizing Controllers?

Author

Waqar A. Malik; Swaroop Darbha; S. P. Bhattacharyya

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 1049-8923)

Published

2007

Language

EN

Field

Engineering (Physical Sciences)