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SPR0 substitutions and families of algebraic Riccati equations

G. Fernández-Anaya, J. C. Martínez García, Vladimír Kučera, D. Aguilar George (2006)

Kybernetika

We study in this paper Algebraic Riccati Equations associated with single-input single-output linear time-invariant systems bounded in H -norm. Our study is focused in the characterization of families of Algebraic Riccati Equations in terms of strictly positive real (of zero relative degree) substitutions applied to the associated H -norm bounded system, each substitution characterizing then a particular member of the family. We also consider here Algebraic Riccati Equations associated with systems...

Stability analysis and H control of discrete T-S fuzzy hyperbolic systems

Ruirui Duan, Junmin Li, Yanni Zhang, Ying Yang, Guopei Chen (2016)

International Journal of Applied Mathematics and Computer Science

This paper focuses on the problem of constraint control for a class of discrete-time nonlinear systems. Firstly, a new discrete T-S fuzzy hyperbolic model is proposed to represent a class of discrete-time nonlinear systems. By means of the parallel distributed compensation (PDC) method, a novel asymptotic stabilizing control law with the “soft” constraint property is designed. The main advantage is that the proposed control method may achieve a small control amplitude. Secondly, for an uncertain...

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