Automatica (Journal of IFAC)
Elimination of overflow oscillations in digital filters employing saturation arithmetic
Digital Signal Processing
Input to state stability and allied system properties
Automation and Remote Control
Input-to-state stability for discrete-time nonlinear systems
Automatica (Journal of IFAC)
Two-dimensional digital filters described by Roesser model with interference attenuation
Digital Signal Processing
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In this paper, an input-to-state stability (ISS) approach is used to derive two new criteria for the realization of fixed-point state-space and direct-form digital filters with saturation overflow nonlinearity and external interference via augmented Lyapunov functions. The two proposed realization criteria ensure ISS for external interference. Moreover, these criteria guarantee asymptotic stability without external interference. They take the form of linear matrix inequality (LMI) and, hence, are computationally tractable. Illustrative examples demonstrate the effectiveness of the two proposed criteria.