Other
Feedback Control of Dynamic Systems
- Course
- Institution
- Book
Stellenbosch University Control Systems 314 Formula Sheet.
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
More summaries for
-
Feedback control of dynamic systems 8th edition franklin solutions manual Latest Update 2024 Version
-
Lecture notes Control Systems 314 (314) Feedback Control of Dynamic Systems, ISBN: 9780133002270
-
Lecture notes Control Systems 314 Feedback Control of Dynamic Systems, ISBN: 9780133002270
Seller
Follow
giftsilimela
Content preview
Tydgebied Spesifikasies / Time Domain Specificationsω n2
Vir die oordragfunksie / For the transfer function: G (s ) =
s 2 + 2ζω n s + ω n2
met / with: σ = ζω n
en / and ωd = ωn 1 − ζ 2
en / and ζ = sin θ
1 .8
Stygtyd / Rise Time : tr ≈ (10%-90%)
ωn
π
Piektyd / Peak Time : tp =
ωd
− πζ
1−ζ 2
ln 2 M p
Oorskiet / Overshoot : Mp =e ; ζ =
π 2 + ln 2 M p
3
ts = (5%)
σ
4
Wegsterftyd / Settling Time : ts = (2%)
σ
4.6
ts = (1%)
σ
Overshoot for Additional Zero Rise Time for Additional Pole
Bladsy 1 - Page 1
, Frekwensiegebied Spesifikasies / Frequency Domain Specifications
1 1
Resonante Piek / Resonant Peak : Mr = ≈
2ζ 1 − ζ 2 2ζ
Fasegrens / Phase Margin: PM ≈ 100ζ
Wortellokus / Root Locus
180° + 360°(l − 1)
φl = , l = 1,2,..., n − m
Asimptote / Asymptotes: n−m
α=
∑ pi − ∑ z i
n−m
φdep = ∑ψ i − ∑ φi − 180°
Wegtrek- en aankomshoeke / ψ arr = ∑φ − ∑ψ + 180°
i i
Departure and arrival angles: qφl , dep = ∑ψ − ∑ φ − 180° − 360°(l − 1)
i i
qψ l , arr = ∑ φ − ∑ψ + 180° + 360°(l − 1)
i i
Moontlike inbreek/uitbreekpunte / da ( s ) db( s ) b( s )
b( s ) − a(s) = 0 where Gol ( s ) =
Possible break-out/break-in points: ds ds a( s)
Kompenseerders / Compensators
Ts + 1
D( s) = α <1
αTs + 1
1 − sin φ max 1−α
Voorloop / Lead: α= sin φmax =
1 + sin φ max 1+ α
1
ωmax =
T α
Ts + 1
Naloop / Lag: D( s) = α α >1
αTs + 1
Ziegler-Nichols Reëls / Ziegler-Nichols Tuning Rules
Bladsy 2 - Page 2
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller giftsilimela. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $2.85. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75759 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now