Question

EET 4350 (Automation and Control) Due An Apsilac OUTCOME: (1) An ability to apply knowledge, techniques, skills and modern tools of mathematics, science, engineering, and technology to solve broadly-defined engineering problems appropriate to the discipline; Assignment on Design and Analysis of Root Locus method for the stability of a process. Performance Indicator: Understanding various types of stability control of continuous processes. Assignment: a. Compare at least three types of stability methods for a process in terms of gain analysis b. Design a first order and a second order system c. Suggest the improvement in any design criteria for better output. d. Construct root locus diagram of the control system with the following open-loop transfer function G(s)H(s) = k (s +12)/(S + 4) e. Construct root locus diagram of the control system with the following open-loop transfer function G(s)H(s) = (10K)/(s^2 + 205 +16) Report Format: Print your report on standard letter size paper. Plot the root locus for each type of the system. It must have a title page with assignment name, course name and number, semester and year, your name and date. At the bottom of the title page my name put my name. Put the other materials in the next pages.

Answer 1

Stability Methods: - Calculation of Gain is an important parameter in centsat System @ Route hnushta tabulation Guksia: By this method, we can calculate the abioluke Stability of the Latem ę paraneter Gain "ki parameter @ Rost- locus methoa:- - Based an the peat of the Roat locus, also we Can Juage the o n stability of the digtem. © Algepulst - Stability Coilsila : It is the based on no. of Encirclemonke macle by the Elt)o) point (-1+jo) — is the vege of Tastability,

Lirst order system has only one pole ER · RUS) (C) - (0) RU) 4 RCS) – (is) + 1 -- k m ota F ocs Imper Output Time constant of the System, Dc Gain of the System . EYE 409: 3stu DC » - Gain =10 - 3 anal ordersystem - it is characterised by - Peak oveshalt & oscillation of the System. L ft has & poless

s'taganston - () RCS. wat national frequency of oscillation G - damping rabbi Based on g only second order System will ve Charabestindo Improvement in design witewa:- By using Controllers, we Improvise the design parameters PD Controller Pf contealler It is LEAR' contealer It is Lag Centrale À Improves transient responu It improves Steady state hafamarec

Pip conceally combines the colvantage of both PL E Po Controllers Kp + kk + kps. 405)H(3 K (5+12) (5+4) 2,= 5=-12, P, --4 K- Kro - N=P-Z=0 • Angle of Asymptole = 0

JOK HCS :- (s+ 205+16) s here, Gain-lo. peles are complex Corgugates. P = 9'+265+16. -20+V400-6u = -201V338 → Pi = 446 / -38-30.. -0233 -19.165 he ***>>> -1976