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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The vector differential equation describing the inverted pendulum of Example 3.3 is

Assume that all state variables are available for measurement and use state variable feedback. Place the system characteristic roots at s - -2 ± j, -5 , and - 5.
Example 3.3
The spread of an epidemic disease can be described by a set of differential equations. The population under study is made up of three groups, x1 x2, and x3, such that the group x1 is susceptible to the epidemic disease, group x2 is infected with the disease, and group x3 has been removed from the initial population. The removal of x3 will be due to immunization, death, or isolation from x1. The feedback system can be represented by the following equations:
Â
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