Consider an uncertain system i(t) = x(t) + u(t), where the c;'s are constants with unknown C2 values but known bounds c, < c; < č;. It is also known that ca > 0. Can you design a state feedback controller u(t) = -Kx(t) that robustly stabilizes this uncertain system for all possible values of the c;'s?

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K1 and K2 need to be expressed in terms of the Ci lower bar and upper bar, not the Ci themselves. 

1
system ä(t) = :
x(t) +
C2
3. Consider an uncertain
u(t), where the c;'s are constants with unknown
C1
values but known bounds c; < c; < T;. It is also known that c3 > 0. Can you design a state feedback
controller u(t) = -Kx(t) that robustly stabilizes this uncertain system for all possible values of the c;'s?
Transcribed Image Text:1 system ä(t) = : x(t) + C2 3. Consider an uncertain u(t), where the c;'s are constants with unknown C1 values but known bounds c; < c; < T;. It is also known that c3 > 0. Can you design a state feedback controller u(t) = -Kx(t) that robustly stabilizes this uncertain system for all possible values of the c;'s?
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