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- W2143146548 abstract "To increase the performance of digitally implemented control laws, it is desirable to directly synthesize the digital control law. Hence, this paper considers the direct synthesis of discrete-time, H ∞ control laws. Previously, two approaches have been proposed to this problem. The most common method uses the bilinear transformation to convert the discrete-time problem into an equivalent continuous-time problem, allowing the controller to be synthesized with software developed for continuous-time systems. This method is often effective but requires unnecessary steps and is not applicable in all circumstances. The second approach is to synthesize the discrete-time, H ∞ control law by solving discrete-time, H ∞ Riccati equations. Due to numerical ill-conditioning, this approach can fail at sufficiently high sample rates. This numerical ill-conditioning can be eliminated by representing the discrete-time system and H ∞ controller using the delta operator. Hence, the H ∞ design equations for direct synthesis using the delta operator are developed. These equations reduce to standard continuous-time H ∞ design equations when the sample period is set to zero. The results are illustrated with a numerical example which also shows that the central continuous-time H ∞ controller of the continuous-time system obtained by a bilinear transformation of the original discrete-time system does not necessarily correspond to the central discrete-time controller." @default.
- W2143146548 created "2016-06-24" @default.
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- W2143146548 date "1999-01-01" @default.
- W2143146548 modified "2023-09-25" @default.
- W2143146548 title "A delta operator approach to discrete-time <i>H</i> <sub>∞</sub> control" @default.
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- W2143146548 doi "https://doi.org/10.1080/002071799221127" @default.
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