Quadratically saturated regulator for constrained linear systems
The problem of stabilization and null-controllability of open-loop unstable discrete-time multi-input systems with constraints on the inputs and the controls is addressed in this paper. First necessary and sufficient conditions for solvability of the problem are derived. They guarantee the existence...
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| Veröffentlicht in: | IEEE transactions on automatic control 1996-07, Vol.41 (7), p.992-995 |
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| container_end_page | 995 |
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| container_issue | 7 |
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| container_title | IEEE transactions on automatic control |
| container_volume | 41 |
| creator | Verriest, E.I. Pajunen, G.A. |
| description | The problem of stabilization and null-controllability of open-loop unstable discrete-time multi-input systems with constraints on the inputs and the controls is addressed in this paper. First necessary and sufficient conditions for solvability of the problem are derived. They guarantee the existence of a linear controller leaving the state constraint set for the closed-loop system positively invariant. An optimal control law is computed, and the admissible set of initial conditions is given such that along trajectories of the closed-loop system the state and input constraints are satisfied. Then the domain of feasible initial conditions is enlarged using a saturating control if such is feasible. |
| doi_str_mv | 10.1109/9.508902 |
| format | Article |
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First necessary and sufficient conditions for solvability of the problem are derived. They guarantee the existence of a linear controller leaving the state constraint set for the closed-loop system positively invariant. An optimal control law is computed, and the admissible set of initial conditions is given such that along trajectories of the closed-loop system the state and input constraints are satisfied. Then the domain of feasible initial conditions is enlarged using a saturating control if such is feasible.</description><subject>Applied sciences</subject><subject>Computer science; control theory; systems</subject><subject>Control design</subject><subject>Control systems</subject><subject>Control theory. Systems</subject><subject>Exact sciences and technology</subject><subject>Linear systems</subject><subject>Matrix decomposition</subject><subject>Open loop systems</subject><subject>Optimal control</subject><subject>Regulators</subject><subject>Singular value decomposition</subject><subject>State feedback</subject><subject>Sufficient conditions</subject><subject>Vectors</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><recordid>eNqFkM1LxDAQxYMouK6CZ089iHjpmknaNLkpi1-wIIKeyzRNpNKPNdMe9r830mWvHmaGx_vxYB5jl8BXANzcmVXOteHiiC0gz3UqciGP2YJz0KkRWp2yM6LvKFWWwYLdv09YBxwbi227SwjHKSpXJ8F9TS2OQ0h8HDv0NAZs-ui0cWNIaEej6-icnXhsyV3s75J9Pj1-rF_Szdvz6_phk1op8zGtuc6cUspnRgswvjJFBVKi9dyLSntZKdCFLwCQG2Er8KiFdb5WOq-0QrlkN3PuNgw_k6Ox7Bqyrm2xd8NEpTBcci7E_6DOhYJCRfB2Bm0YiILz5TY0HYZdCbz867I05dxlRK_3mUixKB-wtw0deAkqvmcidjVjjXPu4O4zfgFja3uH</recordid><startdate>19960701</startdate><enddate>19960701</enddate><creator>Verriest, E.I.</creator><creator>Pajunen, G.A.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>H8D</scope></search><sort><creationdate>19960701</creationdate><title>Quadratically saturated regulator for constrained linear systems</title><author>Verriest, E.I. ; Pajunen, G.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c335t-d084e666f498219fb97b133acf0f2b8f3b6187f711a092cb1fa82cefd685b86a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Control design</topic><topic>Control systems</topic><topic>Control theory. Systems</topic><topic>Exact sciences and technology</topic><topic>Linear systems</topic><topic>Matrix decomposition</topic><topic>Open loop systems</topic><topic>Optimal control</topic><topic>Regulators</topic><topic>Singular value decomposition</topic><topic>State feedback</topic><topic>Sufficient conditions</topic><topic>Vectors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Verriest, E.I.</creatorcontrib><creatorcontrib>Pajunen, G.A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Aerospace Database</collection><jtitle>IEEE transactions on automatic control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Verriest, E.I.</au><au>Pajunen, G.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quadratically saturated regulator for constrained linear systems</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>1996-07-01</date><risdate>1996</risdate><volume>41</volume><issue>7</issue><spage>992</spage><epage>995</epage><pages>992-995</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>The problem of stabilization and null-controllability of open-loop unstable discrete-time multi-input systems with constraints on the inputs and the controls is addressed in this paper. 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| ispartof | IEEE transactions on automatic control, 1996-07, Vol.41 (7), p.992-995 |
| issn | 0018-9286 1558-2523 |
| language | eng |
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| source | IEEE Xplore |
| subjects | Applied sciences Computer science control theory systems Control design Control systems Control theory. Systems Exact sciences and technology Linear systems Matrix decomposition Open loop systems Optimal control Regulators Singular value decomposition State feedback Sufficient conditions Vectors |
| title | Quadratically saturated regulator for constrained linear systems |
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