Control Theory, Second Edition

19.7: Non-linear systems

19.7 Non-linear systems

An important author in the field is Isidori (1995, 1999, 2001). Other suggestions are Banks (1988), Conte et al. (1999), Fradkov (2000), Henson and Seborg (1997), Marquez (2003), Sastry (1999) and Verhulst (1999). For more expository treatments, it can be quite useful to consult earlier books such as Gibson (1963), Graham and McRuer (1961), Minorsky (1947) and the two slim books by Aggarwal (1972) and Leigh (1983b). Flugge-Lotz (1953, 1958, 1968) is good on discontinuous control.

Cartwright and Littlewood (1947) and Van der Pol (1927) are of historical interest.

In sliding mode control, a system is designed so as to follow one or other switching surfaces, potentially yielding consistent operation despite varying application conditions. See Misawa (2003), Perruquette and Barbot (2002), Spurgeon and Edwards (1998).

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