The present paper provides a systematic way to generalize Takagi-Sugeno observer design for discrete-time nonlinear descriptor models. The approach is based on Finsler’s lemma, which decouples the observer gains from the Lyapunov function. The results are expressed as strict LMI constraints. To obtain more degrees of freedom without altering the number of LMI constraints and thus relax the cond...

Abstract. A method of analysis of the fractional descriptor nonlinear discrete-time systems with regular pencils of linear part is proposed. The method is based on the Weierstrass-Kronecker decomposition of the pencils. Necessary and sufficient conditions for the positivity of the nonlinear systems are established. A procedure for computing the solution to the equations describing the nonlinear...

This paper addresses the problem of observer design for discrete-time descriptor systems by using a new concept of dynamical observer. The advantage of this new concept is the structure of this dynamical observer, which is more general than the Proportional-Integral observer and the Proportional observers. The sufficient and necessary conditions for the stability of the proposed dynamical obser...

The control and verification of industrial processes, modeled as discrete-time descriptor systems, is often computationally hard due to the presence both algebraic couplings difference equations. In this article, we introduce a new synthesis method for systems which based on formal abstractions enables design over related reduced-order models. We leverage notions exact approximate similarity re...