TY - GEN
T1 - Decentralized control for discrete-time LTI systems
T2 - 2010 American Control Conference, ACC 2010
AU - Ebihara, Yoshio
AU - Sebe, Noboru
PY - 2010/10/15
Y1 - 2010/10/15
N2 - This paper is concerned with the decentralized H∞ controller synthesis problem for discrete-time linear time-invariant (LTI) systems. In spite of intensive research efforts over the last several decades, this problem is believed to be non-convex and still outstanding in general. Therefore most existing approaches resort to heuristic optimization algorithms that do not allow us to draw any definite conclusion on the quality of the designed controllers. To get around this difficult situation, in this paper, we propose convex optimization procedures for computing lower bounds of the H ∞ performance that is achievable via decentralized LTI controllers of any order. In particular, we show that sharpened lower bounds can be obtained by making good use of structures of the LTI plant typically observed in the decentralized control setting. We illustrate via numerical examples that these lower bounds are indeed useful to ensure the good quality of decentralized controllers designed by a heuristic optimization.
AB - This paper is concerned with the decentralized H∞ controller synthesis problem for discrete-time linear time-invariant (LTI) systems. In spite of intensive research efforts over the last several decades, this problem is believed to be non-convex and still outstanding in general. Therefore most existing approaches resort to heuristic optimization algorithms that do not allow us to draw any definite conclusion on the quality of the designed controllers. To get around this difficult situation, in this paper, we propose convex optimization procedures for computing lower bounds of the H ∞ performance that is achievable via decentralized LTI controllers of any order. In particular, we show that sharpened lower bounds can be obtained by making good use of structures of the LTI plant typically observed in the decentralized control setting. We illustrate via numerical examples that these lower bounds are indeed useful to ensure the good quality of decentralized controllers designed by a heuristic optimization.
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M3 - Conference contribution
AN - SCOPUS:77957790375
SN - 9781424474264
T3 - Proceedings of the 2010 American Control Conference, ACC 2010
SP - 5602
EP - 5607
BT - Proceedings of the 2010 American Control Conference, ACC 2010
Y2 - 30 June 2010 through 2 July 2010
ER -