THE ANALYSIS AND DESIGN OF NONLINEAR CONTROL SYSTEMS VIA LIAPUNOV'S DIRECT METHOD.
Abstract
This report presents the theory of Liapunov's direct method and demonstrates its application in the analysis and design of nonlinear control systems. The report is directed to practicing control system engineers and presents a review of appropriate elements of matrix theory, matrix differential equation theory, and stability theory with reference to control system problems. The theory of the direct method is developed via simple geometric and functional concepts. The various methods of developing Liapunov functions are reviewed, and applications are given in the stability analysis of nonlinear regulator systems and in the determination of the properties of their transient behavior. The report also reviews the various techniques for designing systems via the direct method and presents examples of nonlinear and adaptive system designs. The appendices present detailed reports of original contributions to the theory and application of the direct method which were developed during the investigation, and discussions of subjects closely related to stability analysis. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1964
- Accession Number
- AD0607602
Entities
People
- Gunther R. Geiss
Organizations
- Grumman