NDLI: Stochastic control synthesis of systems with structured uncertainty

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Stochastic control synthesis of systems with structured uncertainty

Content Provider	NASA Technical Reports Server (NTRS)
Author	Padula, Sharon L. Technical Monitor Crespo, Luis G.
Copyright Year	2003
Description	This paper presents a study on the design of robust controllers by using random variables to model structured uncertainty for both SISO and MIMO feedback systems. Once the parameter uncertainty is prescribed with probability density functions, its effects are propagated through the analysis leading to stochastic metrics for the system's output. Control designs that aim for satisfactory performances while guaranteeing robust closed loop stability are attained by solving constrained non-linear optimization problems in the frequency domain. This approach permits not only to quantify the probability of having unstable and unfavorable responses for a particular control design but also to search for controls while favoring the values of the parameters with higher chance of occurrence. In this manner, robust optimality is achieved while the characteristic conservatism of conventional robust control methods is eliminated. Examples that admit closed form expressions for the probabilistic metrics of the output are used to elucidate the nature of the problem at hand and validate the proposed formulations.
File Size	3233616
Page Count	31
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_20040074229
Archival Resource Key	ark:/13960/t1zd2w571
Language	English
Publisher Date	2003-12-01
Access Restriction	Open
Subject Keyword	Numerical Analysis Uncertain Systems Robustness Mathematics Stability Control Systems Design Stochastic Processes Probability Theory Feedback Control High Frequencies Probability Density Functions Optimization Siso Control Systems Mimo Control Systems Determinants 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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