Satisfactory control of discrete-time linear periodic systems
In this paper satisfactory control for discrete-time linear periodic systems is studied. Based on a suitable time-invariant state sampled reformulation, periodic state feedback controller has been designed such that desired requirements of steady state covariance, H-infinity rejection bound and regi...
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| Published in | Journal of control theory and applications Vol. 5; no. 1; pp. 12 - 16 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Department of Computer Science and Technology,Tsinghua University,Beijing 100084,China
01.02.2007
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1672-6340 1993-0623 |
| DOI | 10.1007/s11768-005-5077-9 |
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| Abstract | In this paper satisfactory control for discrete-time linear periodic systems is studied. Based on a suitable time-invariant state sampled reformulation, periodic state feedback controller has been designed such that desired requirements of steady state covariance, H-infinity rejection bound and regional pole assignment for the periodic system are met simultaneously. By using satisfactory control theory, the problem of satisfactory periodic controller can be transformed into a linear programming problem subject to a set of linear matrix inequalities （LMIs）, and a feasible designing approach is presented via LMI technique. Numeric example validates the obtained conclusion. |
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| AbstractList | In this paper satisfactory control for discrete-time linear periodic systems is studied. Based on a suitable time-invariant state sampled reformulation, periodic state feedback controller has been designed such that desired requirements of steady state covariance, H-infinity rejection bound and regional pole assignment for the periodic system are met simultaneously. By using satisfactory control theory, the problem of satisfactory periodic controller can be transformed into a linear programming problem subject to a set of linear matrix inequalities (LMIs), and a feasible designing approach is presented via LMI technique. Numeric example validates the obtained conclusion. In this paper satisfactory control for discrete-time linear periodic systems is studied. Based on a suitable time-invariant state sampled reformulation, periodic state feedback controller has been designed such that desired requirements of steady state covariance, H-infinity rejection bound and regional pole assignment for the periodic system are met simultaneously. By using satisfactory control theory, the problem of satisfactory periodic controller can be transformed into a linear programming problem subject to a set of linear matrix inequalities （LMIs）, and a feasible designing approach is presented via LMI technique. Numeric example validates the obtained conclusion. TP3; In this paper satisfactory control for discrete-time linear periodic systems is studied.Based on a suitable time-invariant state sampled reformulation,periodic state feedback controller has been designed such that desired requirements of steady state covariance,H-infinity rejection bound and regional pole assignment for the periodic system are met simultaneously.By using satisfactory control theory,the problem of satisfactory periodic controller can be transformed into a linear programming problem subject to a set of linear matrix inequalities(LMIs).and a feasible designing approach is presented via LMI technique.Numeric example validates the obtained conclusion. |
| Author | Shiqian LIU Jihong ZHU JinChun HU |
| AuthorAffiliation | Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China |
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| Cites_doi | 10.1137/1.9781611970777 10.1007/s101149900005 10.1109/9.86947 10.1016/0005-1098(93)90114-9 10.1109/TAC.1986.1104132 |
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| Keywords | Covariance assignment Robust control Pole allocation Linear periodic system |
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| References | Z. Guo (5077_CR1) 1999 S. Boyd (5077_CR10) 1994 L. Xie (5077_CR7) 1993; 29 P. Colaneri (5077_CR8) 1991; 36 P. T. Kabamba (5077_CR9) 1986; 31 Y. Wang (5077_CR3) 1999; 13 K. Tan (5077_CR6) 1997; 9 Y. Wang (5077_CR4) 2001; 27 R. A. Meyer (5077_CR5) 1975; 22 Z. Wang (5077_CR2) 1997; 9 L. Huang (5077_CR11) 1984 |
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| Title | Satisfactory control of discrete-time linear periodic systems |
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