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• W1488794815 abstract "For linear time-invariant systems it has been shown that the solutions to the optimal reduced-order modeling, estimation, and control problems can be characterized using optimal projection equations, sets of Riecati and Lyapunov equations coupled by terms containing a projection matrix. These equations provide a strong theoretical connection between standard full-order results such as linear-quadratic Gaussian theory and have also proved useful in the comparison of suboptimal reduction methods with optimal reduced-order methods. In addition, the optimal projection equations have been used as the basis for novel homotopy algorithms for reduced-order design. This paper considers linear periodic plants and develops necessary conditions for the reduced-order modeing, estimation, and control problems. It is shown that the optimal reduced-order model, estimator, and compensator is characterized by means of periodically time-varying systems of equations consisting of coupled Lyapunov and Riccati equations." @default.
• W1488794815 created "2016-06-24" @default.
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• W1488794815 date "1993-06-01" @default.
• W1488794815 modified "2023-10-17" @default.
• W1488794815 title "Optimality Conditions for Reduced-Order Modeling, Estimation and Control for Discrete-Time Linear Periodic Plants" @default.
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• W1488794815 doi "https://doi.org/10.23919/acc.1993.4793254" @default.
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