Abstract :
The problem of establishing a least upper bound on errors arising in hybrid control systems due to quantization of system variables is considered. A closed-form solution for the least upper bound is given for systems, which, with the exception of quantization, are stationary, linear, and stable. This result is based on the utilization of a state space representation of the system under consideration.
Keywords :
Linear systems, time-invariant discrete-time; Quantization errors; Control systems; Digital control; Equations; Error correction; Physics computing; Quantization; State-space methods; System performance; Upper bound; Vectors;