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Inverse Problem of a Modified LQ Control
Mitsuyuki Saito,Takahiko Ono,Shinichi Hikita,Kazuo Yamanaka,Naoya Kawasaki 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
A frequency-domain characterization of the solution to a modified LQ problem, which have been formulated and solved by the present authors, is discussed. In the modified LQ problem the optimal state feedback law is supposed to be determined interms of minimum covariance matrix of the state vector. Without costing the control power, the problem is made well-posed by assuming state observation noise that effectively suppresses the control power. A nine quality condition similar to the well known circle criterion is derived as an ecessary and sufficient condition for a state feedback law to be the solution to some LQ problem of the modified form.