New PDF release: Introduction to Control Systems

By D.K. Anand (Auth.)

ISBN-10: 0080300014

ISBN-13: 9780080300016

ISBN-10: 0080300022

ISBN-13: 9780080300023

This e-book is written to be used as a textual content in an introductory path up to speed structures. The classical in addition to the kingdom area technique is integrated and built-in up to attainable. the 1st a part of the e-book offers with research within the time area. the entire graphical concepts are awarded in a single bankruptcy and the latter a part of the publication bargains with a few complex fabric. it really is meant that the coed may still already be conversant in Laplace modifications and feature had an introductory direction in circuit research or vibration concept. to supply the coed with an knowing of correlation techniques on top of things thought, a brand new bankruptcy facing stochastic inputs has been extra. additionally Appendix\A has been considerably multiplied to hide the speculation of Laplace transforms and z-transforms. The e-book comprises labored examples and difficulties for resolution and an intensive bibliography as a advisor for additional interpreting

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Kv(t) 2 de(t) dt ,d e{t) , dd{t) / — T2 y r - + Bn — — dt dt —m—77^-= (2-32) Fixed reference voltage Fig. 2-24 Linearized speed torque curves for 2-phase a-c motor. R e a r r a n g i n g and taking the L a p l a c e transform for z e r o initial c o n d i t i o n s w e obtain the transfer function Κ V(s) s(Is + m + B) or (2-33) V(s) j ( t j + 1 ) where Κ m + B' I m+ B T h i s then is the transfer function o f a t w o - p h a s e induction m o t o r . e. series o r shunt. T h e y h a v e generally m o r e c o m p l i c a t e d transfer functions owing to t h e inclusion o f armature i n d u c t a n c e and winding time lags.

Linearize the equations under the assumption that* and θ are small and mi > m2. Neglect frictional forces. ///////////////7/////////^ Fig. P2-15 3 Control System Representation 3-1 INTRODUCTION I n the previous c h a p t e r w e saw h o w a s y s t e m m a y b e r e p r e s e n t e d b y linear ordinary differential e q u a t i o n s with c o n s t a n t coefficients. B y defin­ ing a single input and single output in L a p l a c e transform notation, w e managed to obtain the transfer function o f the s y s t e m under c o n s i d e r a t i o n .

H e r e we are c o n t e n t with m o r e c o m m o n as well as simpler e x a m p l e s o f control system components. Amplifiers The amplifier is a very important part of any control system. Basically, it is used to deliver an output signal which is larger, in a prescribed way, than the input signal. A good amplifier design generally requires that the input impedance be large, so that the source is not loaded, and that the output System Components 37 impedance be small so that the power element can be easily driven.

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Introduction to Control Systems by D.K. Anand (Auth.)

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