| dc.contributor.author | Hughes, TH | |
| dc.date.accessioned | 2018-01-22T15:13:32Z | |
| dc.date.issued | 2018-03-26 | |
| dc.description.abstract | The positive-real and bounded-real lemmas solve
two important linear-quadratic optimal control problems for
passive and non-expansive systems, respectively. The lemmas
assume controllability, yet a passive or non-expansive system can
be uncontrollable. In this paper, we solve these optimal control
problems without making any assumptions. In particular, we
show how to extract the greatest possible amount of energy from
a passive but not necessarily controllable system (e.g., a passive
electric circuit) using state feedback. A complete characterisation
of the set of solutions to the linear matrix inequalities in
the positive-real and bounded-real lemmas is also obtained.
In addition, we obtain necessary and sufficient conditions for
a system to be non-expansive that augment the bounded-real
condition with new conditions relevant to uncontrollable systems. | en_GB |
| dc.identifier.citation | Published online 26 March 2018. | en_GB |
| dc.identifier.doi | 10.1109/TAC.2018.2819656 | |
| dc.identifier.uri | http://hdl.handle.net/10871/31152 | |
| dc.language.iso | en | en_GB |
| dc.publisher | Institute of Electrical and Electronics Engineers | en_GB |
| dc.rights | © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | en_GB |
| dc.subject | Passive | en_GB |
| dc.subject | non-expansive | en_GB |
| dc.subject | optimal control | en_GB |
| dc.subject | positivereal | en_GB |
| dc.subject | bounded-real | en_GB |
| dc.subject | controllability | en_GB |
| dc.subject | observability | en_GB |
| dc.title | On the optimal control of passive or non-expansive systems | en_GB |
| dc.type | Article | en_GB |
| dc.identifier.issn | 0018-9286 | |
| dc.description | This is the author accepted manuscript. The final version is available from IEEE via the DOI in this record. | en_GB |
| dc.identifier.journal | IEEE Transactions on Automatic Control | en_GB |
