Discrete-time LQG dynamic controller design using plant Markov parameters

✍ Scribed by Katsuhisa Furuta; Manop Wongsaisuwan

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 700 KB
• Volume: 31
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(95)00045-x

✦ Synopsis

The aim of this paper is to design a discrete-time LQG dynamic controller directly from the Markov parameters of a linear time-invariant plant. The main result obtained states that such a controller can be completely designed using only Markov parameters of the plant, and the designed controller is obtained in the form of its Markov parameters. This leads to a nonparametric design methodology based on the plant input-output behavior, and does not require a state-space realization of the plant. As an illustrative example, a reduced-order sampled-data controller is successfully designed for an infinite-dimensional time-delay plant.

An important parameter to be determined in the realization process is the order of the state-space model. While a higher-order model of the plant gives better approximation, a lower-order controller is usually preferred. There exist many possible combinations for designing reduced-order controllers: one may use the reduced model of a plant, or the