期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 45, 期 10, 页码 1893-1899出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2000.880994
关键词
integrator backstepping; nonlinear control system design; semiglobal tracking; sliding mode control; strict feedback form
A new method is proposed for designing controllers with arbitrarily small tracking error for uncertain, mismatched nonlinear systems in the strict feedback form. This method is another synthetic input technique, similar to backstepping and multiple surface control methods, but with an important addition, r - 1 low pass filters are included in the design where r is the relative degree of the output to be controlled. It is shown that these low pass filters allo rv a design where the model is not differentiated, thus ending the complexity arising due to the explosion of terms that has made other methods difficult to implement in practice. The backstepping approach, while suffering from the problem of explosion of terms guarantees boundedness of tracking errors globally; however, the proposed approach, while being simpler to implement, can only guarantee boundedness of tracking error semiglobally, when the nonlinearities in the system are non-Lipschitz.
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