TY - GEN
T1 - A linear matrix inequality solution to the output covariance constraint control problem
AU - White, Andrew
AU - Zhu, Guoming
AU - Choi, Jongeun
PY - 2012
Y1 - 2012
N2 - In this paper, the output covariance constraint (OCC) control problem is cast as a convex optimization with linear matrix inequality (LMI) constraints. The OCC control problem is an optimal control problem that is concerned with minimizing control effort subject to multiple performance constraints on output covariance matrices. The contribution of this paper is the characterization of the control synthesis LMIs used to solve the OCC control problem. To demonstrate the effectiveness of the proposed approach a numerical example is solved with the control synthesis LMIs. The LMI solutions are then compared to results obtained when using the original iterative OCC algorithm. Both discrete and continuous-time problems are considered.
AB - In this paper, the output covariance constraint (OCC) control problem is cast as a convex optimization with linear matrix inequality (LMI) constraints. The OCC control problem is an optimal control problem that is concerned with minimizing control effort subject to multiple performance constraints on output covariance matrices. The contribution of this paper is the characterization of the control synthesis LMIs used to solve the OCC control problem. To demonstrate the effectiveness of the proposed approach a numerical example is solved with the control synthesis LMIs. The LMI solutions are then compared to results obtained when using the original iterative OCC algorithm. Both discrete and continuous-time problems are considered.
UR - http://www.scopus.com/inward/record.url?scp=84885915514&partnerID=8YFLogxK
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U2 - 10.1115/DSCC2012-MOVIC2012-8799
DO - 10.1115/DSCC2012-MOVIC2012-8799
M3 - Conference contribution
AN - SCOPUS:84885915514
SN - 9780791845318
T3 - ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
SP - 163
EP - 169
BT - ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
T2 - ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
Y2 - 17 October 2012 through 19 October 2012
ER -