Applications of Nonlinear Programming to Optimization and by H. E. Rauch

By H. E. Rauch

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Read Online or Download Applications of Nonlinear Programming to Optimization and Control. Proceedings of the 4th IFAC Workshop, San Francisco, USA, 20–21 June 1983 PDF

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Additional info for Applications of Nonlinear Programming to Optimization and Control. Proceedings of the 4th IFAC Workshop, San Francisco, USA, 20–21 June 1983

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In the event that constraints are not available in the frequency domain, transient response constraints, such as those shown in Fig. 4, can be imposed by specifying parameters of a third-order CL transfer function model of the form CLTF(s) K ( s / z + 1) e _7s model \ _ XJ (s/p + \)Ά + 2Ls + \\ Wn "n / (9) (5) CLFR UPPER BOUNDARY The r a d i u s v e c t o r , r , t r a v e r s e s an a n g l e , a» of 2 π r a d i a n s , and i s g i v e n by a b va 2 2 sin a (6) + b 2 cos 2 a The semiaxes of the ellipse, a and b, are found from the gain and phase margin re­ quirements, GM and PM , respectively, and are = and where i _ I Q " G M /20 , b = a =0 (7) a sin (

Lefkowitz Northrop Corporation, Aircraft Division, One Nor thro p Avenue, California 90250, USA Hawthorne, Abstract. A new, interactive, computer-aided design tool has been developed for the synthesis of flight control systems and is discussed in this paper. Open and closed-loop frequency response requirements are imposed, simulta­ neously, for linear multivariable systems with varying plant dynamics for a user-defined control system configuration. The user-defined control param­ eters (compensation variables) consist of gains, filter coefficients and time constants.

Q. and E. Polak. (1982). Algo­ rithms f o r the design of control sys­ tems subject to singular value inequali­ t i e s . In D. C. Sorensen and R. J . - B . ), Mathematical programming study 18, algorithms and theory in f i l ­ t e r i n g and c o n t r o l , North Holland, New York, pp. 112-135. Polak, E. (1973). On the use of optimiza­ t i o n algorithms i n the design of linear systems. Memo No. UCB/ERL M377, Univer­ s i t y of C a l i f o r n i a , Berkeley, CA. Polak, E. (1983). A modified Nyquist s t a ­ b i l i t y c r i t e r i o n f o r use in computeraided design.

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