Connection between viability theory and l1-optimal control

Jeff S. Shamma

Connection between viability theory and l¹-optimal control

Jeff S. Shamma^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper considers l¹ optimal control problems with full state feedback. In contrast to H^INF optimal control, previous work has shown that linear l¹ optimal controllers can be dynamics and of arbitrarily high order. However, this paper shows that continuous memory less nonlinear state feedback performs as well as dynamics linear state feedback. The derivation, which is non-constructive, relies on concepts from viability theory.

Original language	English (US)
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Editors	Anon
Publisher	Publ by IEEE
Pages	2169-2170
Number of pages	2
ISBN (Print)	0780312988
State	Published - 1993
Externally published	Yes
Event	Proceedings of the 32nd IEEE Conference on Decision and Control. Part 3 (of 4) - San Antonio, TX, USA Duration: Dec 15 1993 → Dec 17 1993

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	3
ISSN (Print)	0191-2216

Other

Other	Proceedings of the 32nd IEEE Conference on Decision and Control. Part 3 (of 4)
City	San Antonio, TX, USA
Period	12/15/93 → 12/17/93

ASJC Scopus subject areas

Control and Optimization
Control and Systems Engineering
Modeling and Simulation

Cite this

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title = "Connection between viability theory and l1-optimal control",

abstract = "This paper considers l1 optimal control problems with full state feedback. In contrast to HINF optimal control, previous work has shown that linear l1 optimal controllers can be dynamics and of arbitrarily high order. However, this paper shows that continuous memory less nonlinear state feedback performs as well as dynamics linear state feedback. The derivation, which is non-constructive, relies on concepts from viability theory.",

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AB - This paper considers l1 optimal control problems with full state feedback. In contrast to HINF optimal control, previous work has shown that linear l1 optimal controllers can be dynamics and of arbitrarily high order. However, this paper shows that continuous memory less nonlinear state feedback performs as well as dynamics linear state feedback. The derivation, which is non-constructive, relies on concepts from viability theory.

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M3 - Conference contribution

AN - SCOPUS:0027727820

SN - 0780312988

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 2169

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BT - Proceedings of the IEEE Conference on Decision and Control

A2 - Anon, null

PB - Publ by IEEE

T2 - Proceedings of the 32nd IEEE Conference on Decision and Control. Part 3 (of 4)

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ER -