Browsing by Subject "Linear systems"
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Item Control system identification using additive test signals(1963) Watt, Joseph Tee, 1933-; Not availableSystem characteristic identification using normal operating signals and additive test signals is discussed. The advantages of additive test signals are enumerated. A system which senses and adapts to changes in a nondominant pole was simulated on an analog computer. A two-parameter adaptive control using a single high-frequency sinusoidal test signal to detect changes in gain and pole locations is proposed. When a random probe is used, it is possible to obtain a set of coefficients theoretically capable of characterizing nonlinear systems. The design problems encountered in applying this method to simple linear passive networks are considered. Crosscorrelation identification of linear systems using periodic discrete interval binary noise is discussed.Item Krylov methods for solving linear systems(2017-05) Wang, Xingyao, active 21st century; Arbogast, Todd James, 1957-; Biros, GeorgeKrylov methods are considered as one of the most popular classes of numerical methods to solve large sparse linear systems of equations. One of the reasons for their popularity is that they are relatively simple to implement. Therefore, Krylov methods have been increasingly accepted as efficient and reliable alternative to the more expensive numerical methods. The purpose of this report is to describe the general concepts used in Krylov methods and to introduce different kinds of Krylov methods. This report also introduces a few simple preconditioners used with Krylov methods. Some C++ codes and Matlab plots are also included.Item Limit cycles in linear systems with a relay in the feedback loop(1989) Anvar, Mahmood; Arapostathis, Ari, 1954-A survey of different methods to investigate the existence of limit cycles in linear systems with nonlinear gain elements in the feedback loop is presented. The complete analytical solution of the problem in the case of asymptotically stable second order linear time invariant systems with an ideal relay in the feed back loop is also derived