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?
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
Probability of Error
This topic is widely taught in many undergraduate and postgraduate degree courses of:
K1 and K2 need to be expressed in terms of the Ci lower bar and upper bar, not the Ci themselves.
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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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