Simplified Rapid Switching Gain Scheduling for a Class of LPV Systems
A limitation of the original gain-scheduling approaches is that the closed-loop stability can only be assured when the underlying parameters vary sufficiently slowly. A remedy exists but requires for its implementation the possible solution of asymptotic Riccati equations (ARE) for an infinite numbe...
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| Veröffentlicht in: | IEEE transactions on automatic control 2012-10, Vol.57 (10), p.2633-2639 |
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| container_title | IEEE transactions on automatic control |
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| creator | Dehghani, A. Rotkowitz, M. C. Anderson, B. D. O. Cha, S. H. |
| description | A limitation of the original gain-scheduling approaches is that the closed-loop stability can only be assured when the underlying parameters vary sufficiently slowly. A remedy exists but requires for its implementation the possible solution of asymptotic Riccati equations (ARE) for an infinite number of different parameter values, and the on-line solution of a Riccati differential equation (RDE) with time-varying coefficient matrices. Our method avoids solving the RDE online and instead uses an explicit transient formula that looks up the predetermined solutions of the associated AREs at a finite set of given system operating points. Furthermore, only a finite number of AREs are solved to determine a finite set of controller gains. |
| doi_str_mv | 10.1109/TAC.2012.2190210 |
| format | Article |
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Systems</subject><subject>Differential equations</subject><subject>Exact sciences and technology</subject><subject>Gain</subject><subject>Gain scheduling</subject><subject>Mathematical analysis</subject><subject>Observers</subject><subject>On-line systems</subject><subject>Remedies</subject><subject>Riccati differential equation (RDE</subject><subject>Stability analysis</subject><subject>State feedback</subject><subject>Steady-state</subject><subject>Switches</subject><subject>Switching</subject><subject>Transient analysis</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkEFLAzEQRoMoWKt3wUtABC9bJ5NNujmWUqtQUNzqdUmziU3Z7tZNi_Tfm6WlB0_Dx7wZZh4htwwGjIF6mo_GAwSGA2QKkMEZ6TEhsgQF8nPSA2BZojCTl-QqhFWMMk1Zj0xyv95U3nlb0g-98SXNf_3WLH39Tafa1zQ3S1vuqi67pqWajisdAm0cnb1_0XwftnYdrsmF01WwN8faJ5_Pk_n4JZm9TV_Ho1liuEi3iRFK24WVQwTMdCmlTMEt5FAp0ExJozhfuBLRWFQlSIFaKzDCKYYuW6iM98njYe-mbX52NmyLtQ_GVpWubbMLBeNSsJQDdOj9P3TV7No6XlcwyECoDIdppOBAmbYJobWu2LR-rdt9hIrOaxG9Fp3X4ug1jjwcF-tgdOVaXRsfTnMYvXJMZeTuDpy31p7aksWnueR_5YZ9uw</recordid><startdate>20121001</startdate><enddate>20121001</enddate><creator>Dehghani, A.</creator><creator>Rotkowitz, M. 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| subjects | Applied sciences Asymptotic properties Asymptotic Riccati equations (ARE) Computer science control theory systems Control system synthesis Control theory. Systems Differential equations Exact sciences and technology Gain Gain scheduling Mathematical analysis Observers On-line systems Remedies Riccati differential equation (RDE Stability analysis State feedback Steady-state Switches Switching Transient analysis |
| title | Simplified Rapid Switching Gain Scheduling for a Class of LPV Systems |
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