Module Handbook: Systems and Control - 1



INSTITUT TEKNOLOGI SEPULUH NOPEMBER (ITS)
FACULTY OF SCIENCE AND DATA ANALYTICS
DEPARTMENT OF MATHEMATICS
Kode
Dokumen
RENCANA PEMBELAJARAN SEMESTER / SEMESTER LEARNING PLAN
MATA KULIAH (MK)
COURSE
KODE
CODE
Rumpun MK
Course Cluster
BOBOT (sks)
Credits
SEMESTER
Semester
Tgl Penyusunan
Compilation Date
Sistem dan Kontrol
Systems and Control
KM186216 Matematika Terapan
Applied Mathematics
3 2
OTORISASI / PENGESAHAN
AUTHORIZATION /
ENDORSEMENT
Dosen Pengembang RPS
Developer Lecturer of Semester Learning Plan
Koordinator RMK
Course Cluster Coordinator
Ka DEPARTEMEN
Head of Department





(Jika ada)
Tanda tangan


Tanda tangan
Capaian
Pembelajaran
CPL-PRODI yang dibebankan pada MK
ILO Program Charged to The Course

3.1.2
Mampu menguasai dan mengembangkan konsep-konsep matematika bidang pemodelan dan optimasi sistem

Able to master and develop mathematical concepts in the field of system modeling and optimization
3.2.2
Mampu memformulasikan masalah nyata dalam model matematika

Able to formulate real problems in mathematical models
4.1.2
Mampu menerapkan pokok-pokok matematika bidang pemodelan dan optimasi sistem untuk mendukung riset bidang lingkungan,
pemukiman, kelautan, energi, atau teknologi informasi

Able to apply mathematical principles in the field of modeling and s ystem optimization to support research in the fields of environment,
settlement, marine, energy, or information technology

Module Handbook: Systems and Control - 2

4.2.1
Mampu melakukan kajian tentang keakuratan suatu model matematis dari suatu permasalahan inter- atau multi-disiplin

Able to conduct studies on the accuracy of a mathematical model of an inter- or multi-disciplinary problem
Capaian Pembelajaran Mata Kuliah (CPMK) / Course Learning
Outcome (CLO)
Bila CP MK sbg penjabaran kemampuan setiap Tahap Pembelajaran
dalam MK maka CPMK = Sub CPMK
If CLO as description capability of each Learning Stage in the course,
then CLO = Lesson Learning Outcome (LLO)

CPMK-1

CLO-1
Mahasiswa mampu mengikuti perkembangan dan menerapkan sistem linear dan kontrol optimum serta mampu
mengkomunikasikannya secara aktif dan benar baik lisan ataupun tulisan.

Students are able to follow developments and apply a linear system and optimum control and are able to communicate actively and
correctly both orally and in writing.
CPMK-2
CLO-2
Mahasiswa mampu menjelaskan prinsip-prinsip dasar dan lanjut dari teori yang dipahaminya khususnya berkaitan dengan sistem linier
dan mampu mendesain sistem kontrol yang sesuai.

Students are able to explain the basic and advanced principles of the theory they understand, especially those related to linear systems
and are able to design appropriate control systems.
CPMK-3
CLO-3
Mahasiswa mampu menjelaskan secara cerdas dan kreatif tentang peranan signifikan sistem linier dan kontrol optimum dalam bidang
rumpun pengetahuan terkait atau bidang lainnya.

Students are able to explain intelligently and creatively about the significant role of l inear systems and o ptimum control in the field of
related knowledge clumps or other fields.
CPMK-4


Mahasiswa mampu menyajikan pemahaman ilmunya dalam bidang sistem linier dan kontrol optimum secara mandiri ataupun dalam
kerja tim.

Module Handbook: Systems and Control - 3

CLO-4 Students are able to present their understanding of knowledge in the field of linear systems and optimum control independently or in
teamwork.
Peta CPL – CP MK Tuliskan peta matriks antara CPL dengan CPMK (Sub CP MK)

CPL-1 CPL-2 CPL-3 CPL-4 CPL-5 CPL-6
CPMK-1
CPMK-2
CPMK-3
CPMK-4

Diskripsi Singkat
MK
Pembahasan matakuliah Sistem dan Kontrol mencakup pengkajian Pengertian sistem, Prinsip-prinsip Pemodelan, Sistem Linear dan Sifat-sifat Sistem,
Umpan Balik Keadaan dan Keluaran, Penyajian Masukan/Keluaran, Kontrol Optimal (LQR), dan Metode-metode Kontrol yang sedang berkembang. Pada
proses pembelajaran di klas peserta didik akan diberikan pemahaman identifikasi masalah dan penurunan model matematika serta mengekspresikanya
kedalam bentuk sistem, selanjutnya menentukan kontrol yang sesuai dengan permasalahan tersebut. Selain diarahkan untuk belajar mandiri melalui
tugas-tugas, peserta didik diarahkan untuk bekerjasama dalam kerja kelompok. Penilaian hasil belajar dilakukan melalui evaluasi tulis, tugas -tugas
kegiatan dan diskusi di kelas.

The discussion of the System and Control course includes an assessment of the definition of a system, Modeling Principles, Linear Systems and System
Properties, Condition and Output Feedback, Presentation of Input / Output, Optimal Control (LQR), and developing control methods. In the learning process in the classroom, students will be given an understanding of problem identification and derivation of mathematical models and express it into
a system form, then determine the appropriate controls for these problems. Besides being directed to learn independently through assignments, students
are directed to work together in group work. Assessment of learning outcomes is done through written evaluation, activity assignments and class
discussions.

Bahan Kajian:
Materi pembelajaran
• Ruang Keadaan
• Sistem MIMO
• Desain Kontrol

• State Space
• MIMO system
• Control Design

Module Handbook: Systems and Control - 4

Pustaka Utama:
1. Subiono., ” Sistem Linear dan Kontrol Optimal”, Jurusan Matematika FMIPA-ITS, 2014.
2. Frank L. Lewis, Vassilis LS, ”Optimal Control and Estimation”, Wiley and Son, New Jersey, Canada, Inc., (1995)
3. Olsder, GJ, "Mathematical System Theory", Fourth Edition, VSDD, Delft The Netherland (2011)
Pendukung:
1. Christiaan Hiej,”Introduction to Mathematical System Theory, Linear Space, Identification and Control”, Birchauser Verlag ,2007
2. Kaddour Najim,”Control of Continuous Linear Systems”,ISTE Ltd, London UK,2006
3. Katsuhiko Ogata,”Modern Control Engineering”,Prentice Hall,2010
Dosen Pengampu Dr. Dra. Mardlijah, M.T.
Matakuliah syarat -
Mg ke/
Week
Kemampuan akhir tiap
tahapan belajar (Sub- CPMK) /
Final ability of each learning
stage (LLO)
Penilaian / Assessment
Bantuk Pembelajaran; Metode
Pembelajaran; Penugasan Mahasiswa;
[ Estimasi Waktu] /
Form of Learning; Learning Method;
Student Assignment;
[ Estimated Time]
Materi Pembelajaran
[Pustaka] /
Learning Material
[Reference]

Bobot
Penilaian
/Assess-
ment
Load (%)
Indikator /
Indicator
Kriteria & Teknik
/
Criteria &
Techniques
(1) (2) (3) (4) Tatap Muka /
In-class (5)
Daring /
Online (6)
(7) (8)
1 Mahasiswa mampu
menjelaskan konsep dasar
sistem serta mengidentifikasi
fenomena alam kedalam
sistem
Students are able to explain
the basic concepts of the
system and identify natural
phenomena into the system
• Kemampuan yang baik
dalam menjelaskan konsep dasar sistem
• Mempunyai gambaran tentang bagaimana
membawa suatu
permasalahan kedalam
system

• Good ability in explaining basic system
concepts
Tulisan tentang
contoh suatu system yang diambil dari permasalahan riil
Writing about an
example of a
system taken
from real
problems

Kuliah Pengantar, studi
kasus sederhana, diskusi Kelompok
Introductory Lectures, simple case studies, Group discussions

Kosong

blank
− Kontrak Kuliah
− Pengantar
[1]:Olsder Bab 1, 2
[2]: Subiono Bab 1, 2

− College Contract
− Introduction
[1]: Olsder Chapter 1, 2 [2]: Subiono Chapter 1, 2

Kosong

blank

Module Handbook: Systems and Control - 5

• Have a description of
how to bring a problem
into the system

2-3 Mahasiswa mampu
menjelaskan konsep system
linier
Students are able to explain the concept of linear systems
Mampu membentuk
system persamaan diferensial dari suatu persamaan diferensial
Able to form a system of differential equations from a differential
equation
Tulisan tentang
suatu kasus
mekanik/elektrik
menjadi suatu
system
persamaan
diferensial
Writing about a mechanical / electrical case
becomes a system
of differential
equations
- Kuliah
- Latihan soal
- Lecture
- Exercises


− Sistem diferensial
linier, linierisasi,
selesaian system
persamaan
diferensial linier
[1]: Olsder Bab 3
[2]: Subiono Bab 3

− Linear differential
system,
linearization, solving
system of linear
differential
equations
[1]: Olsder Chapter 3
[2]: Subiono Chapter 3

4-5 - Mahasiswa mampu
menjelaskan sifat-sifat
sistem
- Mahasiswa mampu
menjelaskan kriteria
kestabilan, keterkontrolan
dan keteramatan

- Students are able to explain
the properties of the system
- Students are able to explain
the criteria for stability,
• Kemampuan yang baik
dalam menjelaskan kestabilan dan
menentukan kestabilan
suatu sistem
• Kemampuan yang baik
dalam menentukan
keterkontrolan dan
keteramatan suatu
system.

- Tulisan tentang
suatu system dan menentukan
sifat-sifatnya
- Quiz I

- Writing about a
system and
determining its
properties
- Quiz I
Kuliah,
Responsi,
Praktikum Mandiri

Lecture,
Responsiveness,
Independent Practicum


− Sifat-sifat system
− kestabilan, jenis-
jenis kriteria kestabilan
− keterkontrolan system
− keteramatan sistem
[1]: Olsder Bab 4
[2]: Subiono Bab 4
[3]: Christiaan Hiej
Bab 4

Module Handbook: Systems and Control - 6

controllability and
observability

• Good ability in
explaining the stability
and determining the
stability of a system
• Good ability in determining the controllability and observability of a system.
− System properties
− stability, types of stability criteria
− controllability of the system
− observability of the system
[1]: Olsder Chapter 4
[2]: Subiono Chapter 4
[3]: Christiaan Hiej
Chapter 4
6 Mahasiswa mampu
menjelaskan control umpan balik state dan control umpan balik output
Students are able to explain state feedback control and output feedback control
• Kemampuan yang baik
dalam menjelaskan umpan balik state dan umpan balik output
• Mempunyai gambaran tentang bagaimana disain control
umpanbalik

• Good ability to explain
state feedback and
output feedback
• Have an idea of how to
design feedback control
Tulisan tentang
disain control
umpan balik dari
beberapa
permasalahan
yang diberikan

Writing about the
design of
feedback control
of some of the
problems given
Kuliah,
Responsi,
Praktikum Mandiri

Lecture,
Responsiveness,
Independent Practicum

− control umpan balik
state
− control umpan balik output
[1]: Olsder bab 5
[2]: Subiono Bab 5

− state feedback
control
− output feedback
control
[1]: Olsder Chapter 5
[2]: Subiono Chapter 5


7 - Mahasiswa mampu
menjelaskan konsep
penyajian input output
- Mahasiswa mampu
menyajikan system dalam
• Kemampuan yang baik
dalam menjelaskan penyajian input output
• Ketepatan menjelas-
kan fungsi transfer dan
matriks transfer
Tulisan tentang
solusi beberapa
permasalahan
yang diberikan

Kuliah,
Responsi,
Lecture,
Responsiveness,

− Penyajian input
output
− Fungsi transfer
− realisasi minimal
[1]: Olsder Bab 6
[2]: Subiono bab 6

Module Handbook: Systems and Control - 7

input output dan state
space

- Students are able to explain
the concept of presenting
input output
- Students are able to present
the system in input output
and state space
• Mempunyai gambaran
tentang realisasi fungsi
transfer menjadi state
space

• Good ability to explain
the presentation of input output
• The accuracy of describing the transfer
function and the
transfer matrix
• Has a description of the
realization of the
transfer function into
state space
Writing about
solutions to some of the problems given

− Presentation of
input output
− Transfer function
− minimal realization
[1]: Olsder Chapter 6
[2]: Subiono chapter 6
8 EVALUASI TENGAH SEMESTER / MID SEMESTER EVALUATION
10-11 - Mahasiswa mampu
menjelaskan konsep dasar
optimal kontrol
- Mahasiswa mampu mendisain control optimal
dari permasalahan
sederhana

- Students are able to explain
the basic concept of optimal
control
- Students are able to design optimal control from simple
problems

• Kemampuan yang baik
dalam menjelaskan konsep dasar optimal
kontrol
• Kemampuan
menyelesaiakn masalah
maksimum minimum
dengan euler laggrange
• Mempunyai gambaran
tentang penyelesaian
masalah dengan
hamiltonian

Tulisan tentang
solusi beberapa
permasalahan
yang diberikan

Writing about
solutions to some
of the problems
given
Kuliah,
Responsi,
Lecture,
Responsiveness,

− Konsep optimal
control
− masalah maksimum minimum dengan euler lagrange
− persamaan Hamilton jacobi
[1]: Subiono Bab 7,8
[2]: Lewis Bab 1, 3.1,
3.2

− The concept of
optimal control

Module Handbook: Systems and Control - 8

• Good ability in
explaining the basic
concept of optimal
control
• Ability to solve minimum maximum problems with euler laggrange
• Have an overview of solving problems with
Hamiltonian
− minimum maximum
problem with euler
lagrange
− jacobi's Hamilton
equation
[1]: Subiono Chapter
7,8
[2]: Lewis Chapter 1,
3.1, 3.2
12 Mahasiswa mampu
menjelaskan konsep LQR dan menerpkannya pada permasalahan riil
Students are able to explain the LQR concept and apply it to real problems
• Kemampuan yang baik
dalam menjelaskan konsep LQR
• Mampu menerapkannya pada permasalahan riil

• Good ability in explaining LQR concepts
• Be able to apply it to
real problems
Tulisan tentang
solusi terhadap
permasalahan
yang diberikan
Writing about solutions to the problems given
Kuliah,
Responsi,
Lecture,
Responsiveness,

− kontrol loop buka
− kontrol loop tutup
− keadaan stedy dan control sub optimal
[1]: Subiono Bab 9
[2]: Lewis Bab 3.3, 3.4

− open loop control
− close loop control
− stedy condition and
sub optimal control
[1]: Subiono Chapter 9
[2]: Lewis Chapter 3.3,
3.4


13


Mahasiswa mampu
menjelaskan konsep dasar metode control PID dan mampu mendisain control PID untuk suatu studi kasus

• Kemampuan yang baik
dalam menjelaskan konsep dan implementasi control PID
- Tulisan tentang
solusi beberapa permasalahan yang diberikan
- Hasil simulasi
matlab
Kuliah,
Responsi,
Lecture,
Responsiveness,

− Disain langsung
− Penalaan PID
[1]: Ogata Bab 8
[2]: Kadour Najm Bab
5

Module Handbook: Systems and Control - 9

Students are able to explain
the basic concepts of the PID
control method and be able to
design PID control for a case
study
• Mempunyai gambaran
tentang penyelesaian
masalah dengan PID
dan mensimulasikan
dengan matlab

• Good ability in explaining the concept and implementation of PID control
• Have an overview of solving problems with PID and simulating with
matlab

- Writing about solutions to some of the
problems given
- Matlab
simulation
results
− Direct design
− PID tuning
[1]: Ogata Chapter 8
[2]: Kadour Najm Chapter 5

14 Mahasiswa mampu
mnentukan system control yang tepat untuk suatu permasalahan riil dengan memahami kekurangan dan
kelebihan

Students are able to
determine the right control
system for a real problem by
understanding the
advantages and
disadvantages
• Kemampuan yang baik
dalam menjelaskan perbedaan konsep dan
implementasi kontrol fuzzy dan sistem pakar
fuzzy
• Mempunyai gambaran
tentang penyelesaian
masalah defuzzifikasi

• Good ability to explain the different concepts and implementations of
fuzzy control and fuzzy
expert systems
Tulisan tentang
solusi beberapa
permasalahan
yang diberikan
Writing about solutions to some
of the problems
given
Kuliah,
Responsi,
Praktikum Mandiri
Lecture,
Responsiveness,
Independent Practicum

Telaah suatu kasus
dan menentukan
system control yang paling sesuai
[1]: Bahan2 dari jurnal
Study a case and
determine the most
appropriate control
system
[1]: Materials from
the journal

Module Handbook: Systems and Control - 10

• Has an overview of
solving the
defuzzification problem
15 Mahasiswa mampu
mnentukan system control
yang tepat untuk suatu
permasalahan riil dengan
memahami kekurangan dan
kelebihan
Students are able to determine the right control system for a real problem by
understanding the
advantages and
disadvantages
• Ketepatan menjelaskan
jenis-jenis control yang
sudah dipelajari
• Mempunyai gambaran tentang bagaimana menentukan system control yang sesuai
dengan masalah yang
diberikan

• Accuracy describes the
types of controls that
have been studied
• Have an overview of how to determine the control system
according to the given
problem

Tulisan tentang
solusi beberapa
permasalahan
yang diberikan
dan simulasinya
Writing about solutions to some of the problems
given and their
simulations
Presentasi,
Diskusi kelompok,
Presentation,
Group discussion,
Telaah suatu kasus
dan menentukan system control yang paling sesuai
[1]: Bahan2 dari jurnal
Study a case and determine the most
appropriate control
system
[1]: Materials from
the journal

16 EVALUASI AKHIR SEMESTER / FINAL SEMESTER EVALUATION

TM=Tatap Muka, PT =Penugasan Terstuktur, BM=Belajar Mandiri.
FF = Face to Face, SA = Structured Assignment, SS = Self Study.