Prerequest Fundamentals for Robust Control Theory?

More Mohammad Fahad Al-Malki's questions See All

Can we distinguish the type of free fluid inside the pelvic and abdominal cavities whether blood or serous fluid using the ultrasound?

during ultrasound examination of acute abdomen, sometimes we see free fluid , can we know the type of fluid ,whether blood or not , using ultrasound only? if yes , what are the sonographic...

01 March 2021 7,476 4 View

Which is suitable for use with Python? MySQL or SQL Server?

Which is suitable for use with Python? MySQL or SQL Server? What is your suggestion?

01 March 2021 3,422 3 View

The reason that the culture of white fungi Contamination with green mold(Trichoderma), the culture autoclave at121 for 15 min. What is it?

Is the period to autoclave not enough? The inoculation in a hood and flame and UV and alcohol.

27 February 2021 9,356 3 View

Is there a fast method matching citations to bibliography (manually typed references)?

I need to be able to match in-text citations to a reference list and back again in very large documents (100+ pages) WITHOUT the use of referencing software like Endnote. my method is to type the...

27 February 2021 9,848 1 View

Can I put a figure that was drawn by Bio-Render in publication paper?

I want to publish paper in journal but I have figures which have drawn with bio-renders, can I put them in the paper or which other software I can use to draw them?

27 February 2021 8,179 1 View

What is the most suitable medium of ascomycetes fungi ??

26 February 2021 4,413 1 View

Is it possible to set a breakpoint at a specific DYNAMIC instruction using the GNU Debugger (GDB)?

Using GDB, it is straightforward to debug and monitor a target program by setting a break-point at a specific instruction, since the instruction addresses are known. However, we have two...

24 February 2021 1,598 2 View

Is it possible that Cancer cells could survive in heparinized blood for 48 hours?

Hi everyone, I am just wondering if we incubated 200 microliter of whole blood with 50 microliter of cancer cells(1bout 5000cells) do you think that cancer would survive for 48 hours?

23 February 2021 3,840 3 View

What is the most prevalent drug related problem in the developed countries?

Detecting the drug related problems is an important step in the pharmaceutical care plan

21 February 2021 5,421 3 View

What are the dimensions by which the independent variable (big data) can be measured, Knowing We using the questionnaire instrument?

We have a research project consisting of three variables where big data is the independent variable. Some previous studies showed that Volume, Variety, Velocity and Veracity Are the dimensions...

21 February 2021 8,133 2 View

Could you recommend any books about Number Theory?

Beginner level books. High level books. Analytical Number Theory. Algebraic Number Theory. Combinatorical Number Theory. Books about partitions. Books about primes.

03 March 2021 7,174 5 View

What kind of intervention will be relevant to increase motivation among young sport trainees?

Any suggestion on what book to read is also welcome.

03 March 2021 1,646 4 View

What are the values needed for gabor filter's parameter for cifar10 data?

Hi, I implemented a code to gabor filter cifar10 data but the images after being filtered and stacked are not clear like the original images. I think the problem is in the way I am using the...

03 March 2021 6,317 1 View

How the parameters (such as Mw, Chemical bonds, polymer bland and so on) affect the mechanic property of polymer (such as storage, loss modulus) ?

Anyone can recommend any books on such topics? Thanks in advance.

02 March 2021 8,457 2 View

Arena simulation - how do i model the following model in ARENA (see description) (new to ARENA)?

Hello, I'm fairly new to ARENA and I have the following problem: I have two queues in which, in each queue, a different order type arrives (both having an arrival rate of exponential 10). Order...

02 March 2021 2,431 3 View

I am interested in medicinal chemistry field, which books are highly recommended to learn from?

I am at the beginner level in drug design and drug discovery, and I am interested to learn more about this field. Which books are highly recommended to start from and gives me all essential...

02 March 2021 8,437 2 View

Please suggest a good text book for "Research Methodology in Life Sciences". Which book would be good for PhD Scholars?

Please provide Book Title and author name

02 March 2021 9,059 3 View

Which is a lucid standard comprehensive book to guide on psychological scale construction and its standardization?

02 March 2021 7,082 3 View

What element is driving the different slop in the low frequency tail?

My study consists simple corrosion inhibitors in salty brine. Right now I just fit my circuit with randles with CPE. Just wondering how the slop can given more info of the experiment. Or any...

01 March 2021 6,474 3 View

Isolates of Hymenoscyphus fraxineus?

Dear Dr. Cai, my name is Simone Prospero and I work in the team of Phytopathology at the Swiss Federal Institute for Forest Snow and Landscape Research (WSL;...

01 March 2021 1,133 1 View

Mohamed-Mourad Lafifi

Dear Mohammad Fahad,

I suggest you to see links in topic.

-Fundamentals of Control Theory - Encyclopedia of Desalination and ...

www.desware.net/sample-chapters/d10/d12-002.pdf

-Electrical Engineering (EE) - Graduate Course Descriptions - Penn State

bulletins.psu.edu/graduate/courses/E/E_E/584/200708SP

-Introduction to Robust Control

https://www.iitk.ac.in/.../system%20and%20control/.../Lecture1_Int...

-2016 | Robust Control - TOKYO TECH OCW

www.ocw.titech.ac.jp/index.php?...2...

-A Course in Robust Control Theory a convex approach - ResearchGate

https://www.researchgate.net/.../266039355_A_Course_in_Robust_...

Best regards

Mohammad Fahad Al-Malki

Dear Murad,

Thanks a lot for taking interest in replying my question. Please note that I know all these stuff you mentioned and have used them intensively. However, my question is a bout a specific topic; i.e. the mathemtical foundation of robust control.

Let me give an example from Kemin Zhou book (Robust and Optimal Control). If you look at Theorem 16.4, how the thorem is constructed and how the assumptions are made and ultimately what are the mathematical background required to understand the proof of such theorem.

Further, how can you develop such thorems and lay down Lemmas to prove a theorem that support some results you obtained from simulation?

Also, where to find historical treatment of the subject to let the reader be aware of the evolvment of the mathematical foundations of Robust Control.

I have included pages of Thorem & Lemma.

Thanks & regards

Sanjoy Roy

Hi Mohammad,

A strong background of the following will be essential:

Advanced functional analysis, particularly using L1 and Linfinity norms. Of course, that itself requires good understanding of suprema, infima, and convergent variable sequences.

Optimal control mathematics (particularly LQR etc.) - please note, I am not talking of OC implementations !

With best wishes.

-Sanjay

Dear Sanjoy,

Thanks for your comments. You're right the book by Kirk on Optimal Control has shown systematically how the theory of optimal control is linked to solution of pair of ARE. I am looking for the same text book that handles the thories & lemmas of H-infinity control. I will check a reference on Advanced functional analysis

Thanks again

All the best

Hazem Demrdash

Good day Mohammad

Here is what you realy need (though not a traditional text book but still can help)and the downoad link, all my best wishes:

Advanced Mathematical Tools for Automatic Control Engineers Volume 1: Deterministic Techniques Alexander S. Poznyak

http://www.abarkouhiau.ac.ir/bookpdf/1.pdf

Good day to you as well. Thanks so much for taking interest in attending this question. My actual interest is to know how the "theorems" and alike are formed in the Robust Control textbooks. For example, if you pick the book by Kemin Zhou (Robust Optimal Control) and look at Theorem 16.4 (page 419) how the theorem is formed and how the conditions i -> iii are stipulated. After that, how to prove it but let's focus on the first part, the formation. I am interested in this topic. Any comment?

Ok, could you please consult nonlinear control systems analysis and design by horacio J. Maquez, pge 63.

He recomendded a list of references ( all are classical references) on mathematical analysis,vector spaces nd theory of diffenrential equations.

Kindly notice that most of the people who are fluent in this approach have had courses in mathematical analysis, topology, differential geometry. From my own experience, It is not pleasant to do a self study on those topics try to google some universities who arrrange courses for thoe with engineering background since the topics are practiced by

Mathematicians and not engineers.

All my best wishes

Dear Hazem,

if you read my earlier comment about LQR optimal control where the book by D. Kirck shows systematically the derivation of optimal control law using ARE, I would assume that there is a good book or technical report/paper shows in the same fashion the construction of theorems leading to Robust H-inf control law. This is what I am looking for. The book by K Zhou needs explanation.

Thanks for your interest to help.

Ibraheem Kasim Ibraheem

Advanced courses on linear algebra will help in this direction. Moreover, a book by Dennis S. Bernstien

https://www.amazon.com/gp/product/0691140391/ref=s9_acsd_simh_bw_c_x_2_w?pf_rd_m=ATVPDKIKX0DER&pf_rd_s=merchandised-search-3&pf_rd_r=KG2QS6MG2J4Y5M396NE8&pf_rd_r=KG2QS6MG2J4Y5M396NE8&pf_rd_t=101&pf_rd_p=fe185ec9-c8f5-44c0-897e-4c0bde93268c&pf_rd_p=fe185ec9-c8f5-44c0-897e-4c0bde93268c&pf_rd_i=283155

is very important.

Dear Ibraheem,

My point is very specific and it's about formation of theorem for Robust Control such as Thorem 16.4 of Kemin Zhou book. The book you mentioned is about Matrix Algebra won't.

Deep study on linear algebra and functional analysis