Control system design and analysis is computationally complex and includes a wide range of tools to aid the engineer. For discrete systems the z-transform is one such tool. This paper discusses the development and application of a computer program which utilizes the z-transform in the analysis of univariate, linear, time-invariant discrete control systems. The analysis approach used in this project is termed \"outside- in\", since it begins with known output and input signals, and proceeds \"inward\" to analyze the resultant system transfer function. This approach is the converse of the traditional \"inside-out\" approach which begins with the transfer function and computes the output. We begin with an introduction of control systems and proceed to the theory underlying the z-transform. Then follows a brief discussion of Laguerre's method of finding the roots of polynomials, which is utilized in the program. Next, program development is presented, followed by a detailed discussion of two representative test cases. A complete program listing is included in the appendices, as well as test data and program results.
","abstract_html":"<p>Control system design and analysis is computationally complex and includes a wide range of tools to aid the engineer. For discrete systems the z-transform is one such tool. This paper discusses the development and application of a computer program which utilizes the z-transform in the analysis of univariate, linear, time-invariant discrete control systems. The analysis approach used in this project is termed "outside- in", since it begins with known output and input signals, and proceeds "inward" to analyze the resultant system transfer function. This approach is the converse of the traditional "inside-out" approach which begins with the transfer function and computes the output. We begin with an introduction of control systems and proceed to the theory underlying the z-transform. Then follows a brief discussion of Laguerre's method of finding the roots of polynomials, which is utilized in the program. Next, program development is presented, followed by a detailed discussion of two representative test cases. A complete program listing is included in the appendices, as well as test data and program results.</p>","abstract_has_math":false,"creators":["Rudin, Kristine L."],"institution":null,"degree_name":"Master of Science (MS) in Computer Science","degree_level":"Thesis: EWU Only","degree_discipline":"Computer Science","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1993,"date_issued":"1993-01-01T08:00:00Z","date_published":"1993-01-01T08:00:00Z","updated_at":"2026-07-24T02:12:46Z","subjects":["Other Computer Sciences","Software Engineering"],"languages":[],"rights":["Access perpetually restricted to EWU users with an active EWU NetID"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.ewu.edu/theses/876","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Rudin, Kristine L."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Computer Science"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis: EWU Only"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science (MS) in Computer Science"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Other Computer Sciences","Software Engineering"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["Access perpetually restricted to EWU users with an active EWU NetID"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dc.ewu.edu/theses/876"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Control system design and analysis is computationally complex and includes a wide range of tools to aid the engineer. For discrete systems the z-transform is one such tool. This paper discusses the development and application of a computer program which utilizes the z-transform in the analysis of univariate, linear, time-invariant discrete control systems. The analysis approach used in this project is termed \"outside- in\", since it begins with known output and input signals, and proceeds \"inward\" to analyze the resultant system transfer function. This approach is the converse of the traditional \"inside-out\" approach which begins with the transfer function and computes the output. We begin with an introduction of control systems and proceed to the theory underlying the z-transform. Then follows a brief discussion of Laguerre's method of finding the roots of polynomials, which is utilized in the program. Next, program development is presented, followed by a detailed discussion of two representative test cases. A complete program listing is included in the appendices, as well as test data and program results.
"]},{"key":"dc:title","label":"Title","values":["Implementation of a digital control system analysis program using the z-transform"]}]}],"canonical_facts":{"dc:creator":["Rudin, Kristine L."],"dc:description.abstract":["Control system design and analysis is computationally complex and includes a wide range of tools to aid the engineer. For discrete systems the z-transform is one such tool. This paper discusses the development and application of a computer program which utilizes the z-transform in the analysis of univariate, linear, time-invariant discrete control systems. The analysis approach used in this project is termed \"outside- in\", since it begins with known output and input signals, and proceeds \"inward\" to analyze the resultant system transfer function. This approach is the converse of the traditional \"inside-out\" approach which begins with the transfer function and computes the output. We begin with an introduction of control systems and proceed to the theory underlying the z-transform. Then follows a brief discussion of Laguerre's method of finding the roots of polynomials, which is utilized in the program. Next, program development is presented, followed by a detailed discussion of two representative test cases. A complete program listing is included in the appendices, as well as test data and program results.
"],"dc:identifier":["https://dc.ewu.edu/theses/876"],"dc:rights":["Access perpetually restricted to EWU users with an active EWU NetID"],"dc:subject":["Other Computer Sciences","Software Engineering"],"dc:title":["Implementation of a digital control system analysis program using the z-transform"],"thesis:degree_discipline":["Computer Science"],"thesis:degree_level":["Thesis: EWU Only"],"thesis:degree_name":["Master of Science (MS) in Computer Science"]},"updated_at":"2026-07-24T02:12:46Z"}