Adaptive Control Design and Analysis by Gang Tao

By Gang Tao

Perceiving a necessity for a scientific and unified figuring out of adaptive regulate concept, electric engineer Tao provides and analyzes universal layout ways with the purpose of overlaying the basics and cutting-edge of the sector. Chapters hide structures thought, adaptive parameter estimation, adaptive nation suggestions regulate, continuous-time version reference adaptive regulate, discrete-time version reference adaptive keep an eye on, oblique adaptive keep watch over, multivariable adaptive keep an eye on, and adaptive regulate of structures with nonlinearities.

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The symbols Dg and Dg−1 denote the derivative matrices of the direct and inverse mappings, which define the transformation of the perturbation vectors on one step forward and backward in time. The criterion holds if the expanding and contracting cones are invariant in the sense that for all points on the reference trajectory the image of the expanding cone belongs to interior of the expanding cone defined for the image point, and the pre-image of the contracting cone belongs to interior of the contracting cone defined for the pre-image point.

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Phys. 20, 167–192 (1971). : Nonlinear physics: from the pendulum to turbulence and chaos. CRC Press, Boca Raton, FLA (1988). , Just, W. Deterministic Chaos: An Introduction. Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG (2005) . : Mathematical problems of nonlinear dynamics: a tutorial. Int. J. of Bifurcation and Chaos 7, 1353–2001 (1997). : Methods of Qualitative Theory in Nonlinear Dynamics (Part 1). World Scientific, Singapore (1998). : Methods of Qualitative Theory in Nonlinear Dynamics (Part 2).

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