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Mixed ℋ2 and ℋ performance objectives. II. Optimal control

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4 Author(s)
J. Doyle ; Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA ; K. Zhou ; K. Glover ; B. Bodenheimer

This paper considers the analysis and synthesis of control systems subject to two types of disturbance signals: white signals and signals with bounded power. The resulting control problem involves minimizing a mixed ℋ2 and ℋ norm of the system. It is shown that the controller shares a separation property similar to those of pure ℋ2 or ℋ controllers. Necessary conditions and sufficient conditions are obtained for the existence of a solution to the mixed problem. Explicit state-space formulas are also given for the optimal controller

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IEEE Transactions on Automatic Control  (Volume:39 ,  Issue: 8 )