Adaptive control on manifolds of nonlinear control plants with complex and oscillation dynamics

This work deals with the developing of Adaptive Control on Manifolds algorithms (ACM) designed for the accompanying quality functionals in their general form. Our point here is to apply the ACM approach and to introduce some practice restrictions for the nonlinear control plants in the case of the quadratic accompanying functionals (QAF). In this article framework we analyze the applicability conditions of designed algorithms and illustrate received results for the problem of adaptive control of combustion engine crankshaft rotation speed.