l1 State-feedback control with a prescribed rate of exponential convergence

We consider the l1-state feedback problem with an internal stability constraint. In particular, we establish the connection between controlled-invariant contractive sets and static control laws that achieve a level of l1 performance as well as a desired unforced rate of convergence. We outline two a...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1997-10, Vol.42 (10), p.1476-1481
Main Authors: FIALHO, I. J, GEORGIOU, T. T
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Online Access:Get full text
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Summary:We consider the l1-state feedback problem with an internal stability constraint. In particular, we establish the connection between controlled-invariant contractive sets and static control laws that achieve a level of l1 performance as well as a desired unforced rate of convergence. We outline two algorithms for computing controlled invariant contractive sets. The first is a modification of standard recursive techniques used in the literature, whereas the second is based on dynamic games and involves solving an appropriate discrete Isaacs recursion. The latter approach results in a min-max characterization of l1-state feedback controllers. We point out that the Isaacs recursion provides a one-shot (as opposed to iterative) computation of the optimal l1 performance. (Author)
ISSN:0018-9286
1558-2523
DOI:10.1109/9.633846