NDLI: Robust stabilization of uncertain systems based on energy dissipation concepts

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Robust stabilization of uncertain systems based on energy dissipation concepts

Content Provider	NASA Technical Reports Server (NTRS)
Author	Gupta, Sandeep
Copyright Year	1996
Description	Robust stability conditions obtained through generalization of the notion of energy dissipation in physical systems are discussed in this report. Linear time-invariant (LTI) systems which dissipate energy corresponding to quadratic power functions are characterized in the time-domain and the frequency-domain, in terms of linear matrix inequalities (LMls) and algebraic Riccati equations (ARE's). A novel characterization of strictly dissipative LTI systems is introduced in this report. Sufficient conditions in terms of dissipativity and strict dissipativity are presented for (1) stability of the feedback interconnection of dissipative LTI systems, (2) stability of dissipative LTI systems with memoryless feedback nonlinearities, and (3) quadratic stability of uncertain linear systems. It is demonstrated that the framework of dissipative LTI systems investigated in this report unifies and extends small gain, passivity, and sector conditions for stability. Techniques for selecting power functions for characterization of uncertain plants and robust controller synthesis based on these stability results are introduced. A spring-mass-damper example is used to illustrate the application of these methods for robust controller synthesis.
File Size	3716154
Page Count	100
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19960016570
Archival Resource Key	ark:/13960/t26b22r60
Language	English
Publisher Date	1996-03-01
Access Restriction	Open
Subject Keyword	Spacecraft Design, Testing And Performance Linear Systems Controllers Systems Stability Robustness Mathematics Stabilization Energy Dissipation Inequalities Riccati Equation Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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