Abstract
In this chapter a survey of the fractional-order control techniques proposed by the author during the last decade are described. Since 1945 until 2020, a large number of fractional-order control techniques and their applications were proposed by many authors. However, except the abovementioned 75 years of using various fractional-order control techniques and fractional-order controllers and their utilization in control theory, the author proposed the following new types/strategies of fractional-order controllers:•fractional-order nonlinear controllers,•fractional-order adaptive controllers, and•fractional-order extremal controller. For these three control techniques, a description, tuning and implementation methods, and illustrative examples are described.
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