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Abstract

The article deals with stability analysis of externally interfered discrete systems with overflow nonlinearities. The proposed criterion uses passivity property to ensure the exponential stability of discrete systems in presence of saturation overflow nonlinearity. The established condition not only provides the convergence rate of the discrete system but also mitigates the influence of external disturbance on the system. It is shown that the system with saturation nonlinearities exhibits passive behaviour under external disturbance and is exponentially stable when the disturbance vanishes. The established criterion guarantees the discrete system employing saturation arithmetic to be free of limit-cycle overflow oscillations. The conditions reported are implemented in linear matrix inequality terms and are quite novel in comparison with previous works. The usefulness of the proposed approach is validated via several numerical examples.

Keywords

Discrete system finite wordlength effect saturation nonlinearity exponential stability passivity

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A linear matrix inequality-based criterion for realizing externally interfered discrete system using saturation arithmetic

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