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Robust/Optimal Control of Minimum-Phase Nolinear Systems

Thesis Info

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Author

Zaffar, Salman

Program

PhD

Institute

National University of Sciences & Technology

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Electrical Engineering

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12026/1/SALMAN%20ZAFFAR%20electrical%20engg%202018%20NUST%20isb%20prr.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727828126

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This thesis proposes a framework that provides suboptimal control laws for a class of minimum-phase nonlinear systems. This class includes systems whose state dynamics are an algebraic sum of their linear and nonlinear sub-dynamics. We propose a systematic method of designing a robust and optimal control law which essentially consists of two components a linear and a nonlinear. It is shown that the proposed control scheme achieves stabilization while providing suboptimality for the class of systems under consideration. Furthermore, the framework provides for a mechanism which is suitable for handling tracking and regulation problems for the class of minimum-phase nonlinear systems by using the Internal Model Principle. Astrikingfeatureoftheproposedframeworkistheflexibilityofstartingwithsynthesizing a Linear-Quadratic-Regulator for linear sub-dynamics of the system and then including a nonlinear control component that stabilizes the nonlinear sub-dynamics of the system. The flexibility offered by the proposed framework is applied firstly to a general class of linear parameter-varying and linear time-varying systems. We extend the flexibility obtained for these two systems to the class of minimum-phase nonlinear systems which are decomposable through existence of an appropriate transformation into their linear and nonlinear sub dynamics. Moreover, we also propose a simplified approach to obtain an approximate yet practical solution to the nonlinear optimal control problem by replacing the requirement of solving Hamilton-Jacobi-Bellman equations with that of the Riccati partial differential equations,andthensynthesizingthenonlinearcomponentofthecontrollawtoachieverobust and suboptimal stabilization
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لگتا ہے آج کل اسے میرا ہی دھیان ہے

لگتا ہے آج کل اُسے میرا بھی دھیان ہے
جانے یہ بات سچ ہے کہ دلکش گمان ہے

معاشرتی فساد و انتشار کے تدارک کا نبوی منہج

Islam provides a complete code of life and no doubt it is the religion of love and peace. The aim 0f its teaching is to unite the Muslim world specially and the whole human community in general. “Prophetic Methodology for the Elimination of Social Disturbance and Anarchy” is the topic to provide the practical guideline to built a peaceful and human caring society. First of all the word disturbance and anarchy has been described, secondly the kinds of disturbance and anarchy as internal and external has been discussed. Different aspects, reasons and the solutions of all external and internal disturbance and anarchy has been discussed in detail. Moreover their targets and objectives have also been expressed. The main focus of the research is to provide the practical solution of all types of social disturbance and anarchy in light of Prophetic teachings.

Application of Moral Justification Scale to Investigate Care and Justice Orientations Among University Students

Human development has always been an area which attracted the attention of many educationists and educational psychologists as it has great impact on education and teaching training. A wealth of research has been conducted from various angles and perspectives in these areas of educational interests. The present study also aimed to investigate care and justice orientations among university students to test Gilligan’s theory in order to find out difference in care and justice orientations of male and female students. Research increasingly suggests that there are limitations to Kohlberg''s theory of moral development. Gilligan, in particular, has observed that Kohlberg''s theory considers abstract principled reasoning as the highest level of moral judgment, and penalizes those who focus on the interpersonal ramifications of a moral decision. Gilligan calls these orientations as justice and care orientations. She asserted that a woman''s sense of moral development came from connections to other people, rather than separation from them. Her purpose was to find a second dimension for female moral reasoning by showing that previous studies were done predominately with males in mind. The present study therefore sought to test her theory in Pakistan by using the Moral Justification Scale, developed by Baker and Roll (2000), an objective measure of both orientations. The objectives of the study were to measure the care and justice orientations among university students and to compare male and female students on both orientations in order to test Gilligan’s theory. It was hypothesized that there was no significant difference between mean care orientation and justice orientation scores of male and female students of the university and there was no significant difference between mean justice orientation scores of male and female students.The population of the study consisted of the 1300 students (566 male and 734 female) of University of Wah (Pakistan). A sample of 100 students, 50 male and 50 female students, was randomly selected as a sample from the students willing to participate in the study. The Moral Justification Scale was adapted according to Pakistani culture and individually administered on university students who were asked to read each dilemma carefully and respond to the statements given at the end of each dilemma. The collected data were scored, and the groups were compared by using the statistical techniques of mean, standard deviation, coefficient of variation, degree of overlapping and t-test. The level of significance for testing the null hypotheses was preset at .05. The study results showed that female students as whole were more care oriented than male students while both genders did not clearly differ on justice orientation. The evidence from this psychological research has shown that females were more likely to appeal to principles of care when examining the moral imperative when determining what one ought to do. Though, both males and female used the ethic of justice and care; females were found to view the interpersonal issues of a situation as more important. Male students, on the average, were not found to be that much justice oriented in their moral judgments, as females were inclined toward care orientation. However, 14 % male students were ahead of average girl students in care orientation. The study thus partially supports Gilligan’s theory.