A system is characterized through the set of equations 2x(t) +6x,(t)=8 u(t) X(() +ax2(t)+ 10 x, (t) = 2 u,(t) +b uz(t) y(t) 2x(t) +5 u,(t) where y is the output variable and u, and u, are the input variables. a) Formulate a state-space model of the system and determine the matrices A, B. C. and D. by Formulate a condition for the coefficients a and b, so that the system is stable.

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A system is characterized through the set of equations
2x,(t) +6x,(t) 8 u, (t)
(() +ax(t) +10 x, (t) = 2 u, (t) + buz(t)
y(t)=2x()+5 u,(t)
where y is the output variable and u, and u, are the input variables.
a) Formulate a state-space model of the system and determine the matrices A,
BC and D
by Formulate a condition for the coefficients a and b, so that the system is stable.
Transcribed Image Text:A system is characterized through the set of equations 2x,(t) +6x,(t) 8 u, (t) (() +ax(t) +10 x, (t) = 2 u, (t) + buz(t) y(t)=2x()+5 u,(t) where y is the output variable and u, and u, are the input variables. a) Formulate a state-space model of the system and determine the matrices A, BC and D by Formulate a condition for the coefficients a and b, so that the system is stable.
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