Title :
Frequency domain evaluation of discrete-time circle criterion and Tsypkin Criterion in the MIMO case
Author_Institution :
Lehrstuhl fur Regelungstech., Univ. Erlangen-Nurnberg, Erlangen, Germany
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
Many control applications can be described as discrete-time nonlinear feedback systems whose stability properties can e.g. be analyzed with the Discrete-Time Circle Criterion or the Tsypkin Criterion. This paper presents new methods for the evaluation of these sector criteria in the multivariable case. The new methods are based on graphic elements: the "discrete-time positivity curves".
Keywords :
MIMO systems; discrete time systems; feedback; nonlinear control systems; stability; MIMO case; Tsypkin criterion; control application; discrete-time circle criterion; discrete-time nonlinear feedback system; discrete-time positivity curve; frequency domain evaluation; graphic element; multiple-input multiple-output case; stability property; Asymptotic stability; Eigenvalues and eigenfunctions; Graphics; Numerical stability; Optimization; Stability criteria; discrete-time nonlinear systems; discrete-time positivity curves; stability analysis;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
