TY - GEN
T1 - Stabilization of markovian jump linear systems with limited information - a convex approach1
AU - Zhang, Chun
AU - Chen, Kan
AU - Dullerud, Geir E.
PY - 2009
Y1 - 2009
N2 - In this paper, we study the second order stabilization problem of Markovian jump linear systems (MJLSs) with logarithmically quantized state feedbacks. We give explicit constructions of the stabilizing logarithmic quantizer and controller. We also present a semi-convex way to determine the coarsest stabilizing quantization density. In addition, we show that the problem of stabilizing a linear time-invariant (LTI) system over a lossy channel can be viewed as a special example of the framework developed here. A contribution of the work is a simultaneous treatment of finite bandwidth constraints (logarithmic quantization) and latency in feedback channels.
AB - In this paper, we study the second order stabilization problem of Markovian jump linear systems (MJLSs) with logarithmically quantized state feedbacks. We give explicit constructions of the stabilizing logarithmic quantizer and controller. We also present a semi-convex way to determine the coarsest stabilizing quantization density. In addition, we show that the problem of stabilizing a linear time-invariant (LTI) system over a lossy channel can be viewed as a special example of the framework developed here. A contribution of the work is a simultaneous treatment of finite bandwidth constraints (logarithmic quantization) and latency in feedback channels.
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U2 - 10.1109/ACC.2009.5160685
DO - 10.1109/ACC.2009.5160685
M3 - Conference contribution
AN - SCOPUS:70449640445
SN - 9781424445240
T3 - Proceedings of the American Control Conference
SP - 4013
EP - 4019
BT - 2009 American Control Conference, ACC 2009
T2 - 2009 American Control Conference, ACC 2009
Y2 - 10 June 2009 through 12 June 2009
ER -