BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 57, Issue 2, June 2009

Varia

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pp 153 - 155

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A new method for analytic determination of extremum of the transients in linear systems

H. GORECKI
The relation between extremal values of the error and the coefficients of its differential equations is one of the central problems of control systems in chemical industry, becouse extremal values of the error sometimes cause serious damages to the environment or to the system itself. Analytical formulae for the determination of these values are known only for the second-order systems. In this paper a method which permits to determine extremal values of the error in higher-order systems is proposed.
Key words:

transcendental equations, extremal dynamic error, linear stationary system, parametric optimization, analytic formulae, discriminants of exponential functions, Vandermonde's determinant, Viéte's formulae, process control


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Copyright ® Bulletin of the Polish Academy of Sciences: Technical Sciences

8 July 2009