Dissipativity criteria for digital filters with saturation nonlinearity

Dissipativity criteria for digital filters with saturation nonlinearity

Rajeev Kumar Siva Kumar Tadepalli

Department of Electronics and Telecommunication Engineering, Bhilai Institute of Technology Durg, Chhattisgarh, India

Department of Electronics Engineering, National Institute of Technology Uttarakhand, Uttarakhand, India

Corresponding Author Email: 
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31 December 2017
| Citation



This paper analyzes the dissipativity of the direct form digital filters with saturation nonlinearity. First a (Q,S,R)-α dissipativity of direct form digital filters with saturation nonlinearity has been studied. Based on this existing criterion a new (Q,S,R)-α dissipativity criterion of direct form digital filters has been established and verified with some general characterization of nonlinearity.

This paper also deals under what conditions the asymptotic stability of the digital filters can be assured which is very crucial for the design of robust controllers. Some numerical examples have been employed to demonstrate the usefulness of the theorems. The theorems in this paper have been verified using the suitable Lyapunov and dissipative functions.


dissipativity, digital filters, direct form, Lyapunov

1. Introduction
2. Direct form digital filters
3. Saturation nonlinearity of the general form
4. Numerical examples
5. Conclusion

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