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Download e-book for kindle: Applications of Nonlinear Programming to Optimization and by H. E. Rauch

By H. E. Rauch

ISBN-10: 0080305741

ISBN-13: 9780080305745

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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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An algo­ rithm f o r optimization problems with functional inequality constraints. IEEE Trans, on Automatic Control, AC-21, No. 2. Polak, E. and D. Q. Mayne. (1981). On the solution of singular value inequalities over a continuum of frequencies. IEEE Trans, on Automatic Control, AC-26, No. 3, 690-695. Polak, E. and Y. Wardi. (1982). A nondif­ ferentiable optimization algorithm for the design of control systems subject to singular value inequalities over a fre­ quency range. Automatica, 18, No. 3, 267-283.

System performance boundaries for mag. and phase angle constraints. STEP RESPONSE SYSTEM RESPONSE UPPER BOUNDARY Fig. 4. Transient resp boundary constraints. Automated Synthesis of Control Systems The parameters, gain (K), pole (p) and zero (z) location, undamped natural frequency (ω η ), damping ratio (£) and time delay (τ) can be obtained for selected boundaries from parametric transient response curves sup­ plied by the program. Forbidden Region violation function. objective function of Eq. (2) can be pressed as a violation function for stability term for all desired margins plant variations (PV) as J(p) stab = The ex­ the and Σ f (Forbidden Region/stability margins, margin violations) (10) 39 slightly stable, the OLFR is investigated for gain and phase crossover points.

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. Memo No. UCB/ERL M82/92, University of C a l i f o r n i a , Berkeley, CA.

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Applications of Nonlinear Programming to Optimization and Control. Proceedings of the 4th IFAC Workshop, San Francisco, USA, 20–21 June 1983 by H. E. Rauch


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