Get Computation and Control: Proceedings of the Bozeman PDF

By Kenneth L. Bowers, John Lund

The challenge of constructing a scientific method of the layout of feed­ again options in a position to shaping the reaction of complex dynamical keep watch over platforms illustrates the mixing of a large choice of mathemat­ ical disciplines average of the fashionable idea of structures and keep watch over. As a concrete instance, one could think of the regulate of fluid circulate throughout an airfoil, for which fresh experiments point out the potential of delaying the onset of turbulence by means of controlling viscosity via thermal actuators positioned at the airfoil. usually, there are methods to the con­ trol of any such complica. ted procedure, the advance of super distinctive versions of the method by way of the derivation of a extra "dedicated" feed­ again legislation or the advance of a extra easy version classification by way of the derivation of keep an eye on legislation that are extra powerful to unmodelled dynamics and exogeneous disturbances. In both procedure, the 2 dual subject matters of approximation and computation play an important function within the derivation and implementation of ensuing keep an eye on legislation. and there's no doubt that the cross-fertilization among those dual issues and keep an eye on idea increases unabated during the subsequent decade, not only as a massive element of layout and implementation of keep watch over legislation but in addition as a resource of recent difficulties in computational arithmetic. during this quantity, we current a set of papers that have been deliv­ ered on the first Bozeman convention on Computation and regulate, held at Montana country collage on August 1-11, 1988.

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Additional info for Computation and Control: Proceedings of the Bozeman Conference, Bozeman, Montana, August 1–11, 1988

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11, 1988. [5] C. I. BYRNES and A. ISIDORI, "Analysis and Design of Nonlinear Feedback Systems, 1°: Zero Dynamics and Global Normal Forms," submitted for publication. [6] C. I. BYRNES and A. ISIDORI, "Analysis and Design of Nonlinear Feedback Systems, lIo: Global Stabilization of Minimum Phase Systems," submitted for publication. 50 FEEDBACK DESIGN FROM THE ZERO DYNAMICS POINT OF VIEW [7] B. D'ANDREA and L. PRALY, "About Finite Nonlinear Zeros for Decouplable Systems," Systems and Control Letters, v.

BYRNES, A. ISIDORI and: Yi = for i = 1, ... ,m. ei In these equations: x=(z,e, ... ,em ) e = (eL~,··· ,e~J R1 ~ R2 ~ ••• ~ and: ai(x) bi (x) Rm = Lge~Jx) Li ~i (x) = The coordinate functions etc (x), the coefficients 6~i (x) and O'l( x) are such that i-1 e1H(x) = - L6~i(X)bi(x) + Lfe1(X) 1~ k ~ Ri - 1, 2 ~ i ~ m 1~ k ~ Ri - 1, 2 ~ i ~ m i=1 i-1 Lge1(x) =L 6~i(x)ai (x) i=1 + O'~(x) In the new coordinates, the submanifold Z* is described as: Z* = {x : e = 0, 1 ~ i ~ m} and the functions O'1(x) vanish on M*.

AC-26, 1981, pp. 331345. [16] A. ISIDORI and C. MOOG, "On the Nonlinear Equivalent to the Notion of Transmission Zeros," Modeling and Adaptive Control, (C. I. Byrnes and A. H. ), Springer Verlag, Lecture Notes in Control and Information Sciences, v. 105, 1988. [17] A. ISIDORI, C. MOOG, and A. DeLUCA, "A Sufficient Condition for Full Line ariz at on via Dynamic State-Feedback," 25th IEEE Conf. Decision and Control, 1986, pp. 203-208. [18] H. KHALIL and A. SABERI, "Adaptive Stabilization of a Class of Nonlinear Systems Using High-Gain Feedback," IEEE 1rans.

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