Abstract
This chapter collects some concepts related to linear, time-invariant systems, as well as properties of feedback control systems. It is mainly intended to introduce notation and terminology, and also to provide motivation and a brief review of the background material for Part II. The interested reader may find a more extensive treatment of the topics covered here in the books and papers cited in the Notes and References section at the end of the chapter.
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Notes and References
LTI Systems
See e.g., Francis (1991), Maciejowski (1991), Middleton & Goodwin (1990), Kailath (1980) and Franklin et al. (1994).
Feedback Control Systems
See e.g., Freudenberg & Looze (1988), Doyle & Stein (1981), Maciejowski (1991) and Kwakernaak (1995).
A different approach to the concept of gains for multivariable systems is found in Postlethwaite & MacFarlane (1979), where emphasis is placed on the (frequency dependent) eigenvalues of the transfer matrix. §2.3 is mainly based on Bode (1945). Example 2.3.2 is taken from Åström (1995), where additional limitations on the achievable phase margin are also discussed.
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© 1997 Springer-Verlag London Limited
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Seron, M.M., Braslavsky, J.H., Goodwin, G.C. (1997). Review of General Concepts. In: Fundamental Limitations in Filtering and Control. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0965-5_2
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DOI: https://doi.org/10.1007/978-1-4471-0965-5_2
Publisher Name: Springer, London
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