Controller Design For Discrete-time Systems Research Articles

A Multiplier Approach for the Robust Design of Discrete-Time Control Systems with Real/Complex Uncertainties

A novel approach for the design of robust controllers for discrete-time uncertain systems using a multiplier approach is given. Our algorithm is based on a k m / μ-synthesis type iteration involving a search for suitable multipliers and solving scaled H ∞ optimization problems. The latter problems involve only the original plant data and the scalings are computed via standard spectral factorizations from the multiplier. The design is performed entirely in the discrete-time domain and the results can be used for multiobjective control design (Tchernychev and Sideris, 1997).

Interaction Analysis in Multivariable Control System Design

In this paper a practical method of interaction analysis in multivariable discrete time control system design based on relative transient response functions and interaction matrices is developed. To determine the relative transient response function an inverse system serves as an "ideal" controller. The method helps effectively to pair the input and output variables and determine whether a multivariable system is decomposable to (nearly) independent subsystems. State equations of corresponding subsystems are obtained using canonical forms.