An improved closed-loop stability related measure for finite-precision digital controller realizations

An Improved Closed-Loop Stability Related Measure for Finite-Pre ision Digital Controller Realizations

Optimal Realizations of Floating-Point Implemented Digital Controllers with Finite Word Length Considerations

The closed-loop stability issue of finite-precision realizations is investigated for digital controllers implemented in floating-point arithmetic. Unlike the existing methods which only address the effect of the mantissa bits in floating-point implementation to the sensitivity of closed-loop stability, the sensitivity of closed-loop stability is analyzed with respect to both the mantissa and ex...

Optimal Finite-Precision Controller Realizations in Block-Floating-Point Format

The paper analyzes the properties of the controller coefficient perturbation resulting from using finite word length (FWL) block-floating-point arithmetic and investigates the closed-loop stability issue of finite-precision realizations for digital controllers implemented in block-floating-point format. A true FWL closed-loop stability measure is derived which considers both the dynamic range a...

A unified closed-loop stability measure for finite-precision digital controller realizations implemented in different representation schemes

A computationally tractable unified finite word length closed-loop stability measure is derived which is applicable to fixed-point, floating-point and block-floating-point representation schemes. Both the dynamic range and precision of an arithmetic scheme are considered in this new unified measure. For each arithmetic scheme, the optimal controller realization problem is defined and a numerica...

Optimal Floating-Point Realizations of Finite-Precision Digital Controllers

The paper investigates the closed-loop stability issue of finite-precision realizations for digital controllers implemented in floating-point arithmetic. Unlike the existing methods which only address the effect of the mantissa bits in floating-point format to the sensitivity of closed-loop stability, the sensitivity of closed-loop stability is analyzed with respect to both the mantissa and exp...