Abstract
This chapter provides background motivating the Dynamic Surface Control (DSC) method. It gives a brief history of its development and discusses pertinent applications areas. A brief review of sliding mode control is given since DSC is an extension of this method. Next the problem of “mismatched uncertainties”, where the uncertainties enter the differential equations where no control appears. The first method that treated this problem, integrator back stepping is presented. An alternative but similar approach of multiple sliding surfaces is discussed and it is shown that both methods suffer from an “explosion of terms”, i.e. the number of terms in the control law rapidly gets out of hand. Next the main topic of this book, DSC, is introduced by a motivating example.
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Song, B., Hedrick, J.K. (2011). Introduction. In: Dynamic Surface Control of Uncertain Nonlinear Systems. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-632-0_1
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DOI: https://doi.org/10.1007/978-0-85729-632-0_1
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