The singularity of the backstepping control

• Autorzy: Bolek, W. , Sasiadek, J.
• Języki publikacji: PL

Abstrakty

EN

The backstepping procedure is one of the tools, which provides control law synthesis for non-linear smooth systems. Two classes of non-linear systems are usually considered. First group are so called strict-feedback systems and second, more general, pure-feedback systems. The backstepping procedure applied to pure-feedback systems results sometimes in a control law, which exhibits singularity. The question is if control law for thermal plants (e.g. steam boilers) also exhibit such singularity. In this paper an intermediate class of non-linear systems is described. It is much broader than strict-feedback systems, but it is assured that derived control law is numerically well posed.

Słowa kluczowe

EN

non-linear systems; backstepping

• Czasopismo: Zeszyty Naukowe. Elektryka / Politechnika Opolska
• Rocznik: 2005
• Tom: Vol. 299, z. 55
• Strony: 57-70
• Opis fizyczny: Bibliogr. 5 poz., rys., wykr.

Twórcy

autor

Bolek, W.

• Wroclaw University of Technology

autor

Sasiadek, J.

• Carleton University, Ottawa, Canada

Bibliografia

• [1] BOLEK W., SASIADEK J., WISNIEWSKI T. (2000), Linearization of Non-linear Model of Large Power Plant Station, American Control Conference, Chicago June 28-30, pp 4435-4436.
• [2] BOLEK W., SASIADEK J. (2002), The singularity of backstepping control for non-linear systems. American Control Conference, Anchorage, May 8-10, accepted for publication.
• [3] IEEE Committee Report (1991), Dynamic Models for fossil-fuelled steam units in power system studies, IEEE Trans. on Power Systems PWRS-6, n2, pp 753-761.
• [4] KHALIL H.K. (1992), Nonlinear systems, Macmillan, New York.
• [5] KRSTIC M., KANNELAKOPOULOS I., KOKOTOVIC P. (1995), Non-linear and adaptive control design, Wiley & Sons, New York