Optimal input sets for steering quantized systems
Limited capacity of communication channels has strongly pushed the analysis of control systems subject to a quantized input set. Quantized control system of type x + = x + u , where the u takes values in a set of 2 m + 1 integer numbers, symmetric with respect to 0 arise in some fundamental sit...
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| Veröffentlicht in: | Mathematics of control, signals, and systems signals, and systems, 2010-10, Vol.22 (2), p.129-153 |
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| container_title | Mathematics of control, signals, and systems |
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| creator | Marigo, Alessia |
| description | Limited capacity of communication channels has strongly pushed the analysis of control systems subject to a quantized input set. Quantized control system of type
x
+
=
x
+
u
, where the
u
takes values in a set of 2
m
+ 1 integer numbers, symmetric with respect to 0 arise in some fundamental situations, e.g., flat, nilpotent, and linear systems with quantized feedback. In this paper we consider this special type of systems and analyze the reachable set after
K
steps. We find explicit expressions, for each
K
and for each
m
, of
m
input values such that the reachable set after
K
steps is as large as possible. |
| doi_str_mv | 10.1007/s00498-010-0055-2 |
| format | Article |
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x
+
=
x
+
u
, where the
u
takes values in a set of 2
m
+ 1 integer numbers, symmetric with respect to 0 arise in some fundamental situations, e.g., flat, nilpotent, and linear systems with quantized feedback. In this paper we consider this special type of systems and analyze the reachable set after
K
steps. We find explicit expressions, for each
K
and for each
m
, of
m
input values such that the reachable set after
K
steps is as large as possible.</description><identifier>ISSN: 0932-4194</identifier><identifier>EISSN: 1435-568X</identifier><identifier>DOI: 10.1007/s00498-010-0055-2</identifier><identifier>CODEN: MCSYEB</identifier><language>eng</language><publisher>London: Springer-Verlag</publisher><subject>Channels ; Communications Engineering ; Communications equipment ; Control ; Control systems ; Control theory ; Controllers ; Feedback ; Linear systems ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Mechatronics ; Networks ; Optimization ; Original Article ; Robotics ; Steering ; Systems Theory</subject><ispartof>Mathematics of control, signals, and systems, 2010-10, Vol.22 (2), p.129-153</ispartof><rights>Springer-Verlag London Limited 2010</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c299t-63fb8438ef96e26d9a0a4fe77f82ecd0b8159527091e1e79f7839b311fb4a4693</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00498-010-0055-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00498-010-0055-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Marigo, Alessia</creatorcontrib><title>Optimal input sets for steering quantized systems</title><title>Mathematics of control, signals, and systems</title><addtitle>Math. Control Signals Syst</addtitle><description>Limited capacity of communication channels has strongly pushed the analysis of control systems subject to a quantized input set. Quantized control system of type
x
+
=
x
+
u
, where the
u
takes values in a set of 2
m
+ 1 integer numbers, symmetric with respect to 0 arise in some fundamental situations, e.g., flat, nilpotent, and linear systems with quantized feedback. In this paper we consider this special type of systems and analyze the reachable set after
K
steps. We find explicit expressions, for each
K
and for each
m
, of
m
input values such that the reachable set after
K
steps is as large as possible.</description><subject>Channels</subject><subject>Communications Engineering</subject><subject>Communications equipment</subject><subject>Control</subject><subject>Control systems</subject><subject>Control theory</subject><subject>Controllers</subject><subject>Feedback</subject><subject>Linear systems</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Mechatronics</subject><subject>Networks</subject><subject>Optimization</subject><subject>Original Article</subject><subject>Robotics</subject><subject>Steering</subject><subject>Systems 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x
+
=
x
+
u
, where the
u
takes values in a set of 2
m
+ 1 integer numbers, symmetric with respect to 0 arise in some fundamental situations, e.g., flat, nilpotent, and linear systems with quantized feedback. In this paper we consider this special type of systems and analyze the reachable set after
K
steps. We find explicit expressions, for each
K
and for each
m
, of
m
input values such that the reachable set after
K
steps is as large as possible.</abstract><cop>London</cop><pub>Springer-Verlag</pub><doi>10.1007/s00498-010-0055-2</doi><tpages>25</tpages></addata></record> |
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| identifier | ISSN: 0932-4194 |
| ispartof | Mathematics of control, signals, and systems, 2010-10, Vol.22 (2), p.129-153 |
| issn | 0932-4194 1435-568X |
| language | eng |
| recordid | cdi_proquest_miscellaneous_818836138 |
| source | SpringerLink Journals |
| subjects | Channels Communications Engineering Communications equipment Control Control systems Control theory Controllers Feedback Linear systems Mathematical analysis Mathematics Mathematics and Statistics Mechatronics Networks Optimization Original Article Robotics Steering Systems Theory |
| title | Optimal input sets for steering quantized systems |
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