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Output feedback dissipative control for linear discrete-time systems with time-delay
线性离散时滞系统的输出反馈耗散控制

Keywords: discrete-time systems with delay,quadratic dissipativeness,dissipative control,linear matrix inequlity(LMI)
离散时滞系统
,二次型耗散性,耗散控制,线性矩阵不等式(LMI

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Abstract:

The quadratic dissipative control for linear discrete-time systems with time-delay is considered.The objective is to design a dynamic output feedback controller achieving asymptotic stability and strict quadratic dissipativeness.First,it is shown that the strict quadratic dissipativeness can be reduced to the solvability of LMIs and sufficient conditions are obtained for the system to be asymptotically stable and strictly quadratic dissipative,and then the output feedback dissipative control problem is addressed.Conditions for the existence of the out-put feedback controller are derived and steps for designing the controller are given.The results obtained provide not only a unified framework for H-infinity control and passive control,but also a more flexible and less conservative design method for linear discrete-time systems with time-delay.

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