Controller Order Reduction by Model Matching of Frequency Response

Frequency Weighted Controller Order Reduction ( Part I )

In this paper, a new method for controller reduction of linear time invariant systems is presented. The method is based on newly defined controllability and observability grammians which are calculated from input to state and state to output characteristics of the controller in a certain frequency domain. These grammians are defined for the closed loop system to keep the performance of original...

Model Order Reduction and Controller Design Techniques

Controller Order Reduction Using the Neighborhood of Crossover Frequency Approach

ABSTRACT A new model reduction approach is proposed. The order of a large-scale system is reduced within the neighborhood of its crossover frequency in order to closely preserve the gain and phase of the original system. The minimum and maximum allowable frequency about the crossover frequency of the system is determined using frequency dependent weights. Then the system is perturbed and reduce...

Model Order Reduction for Neutral Systems by Moment Matching

Circuits with delay elements are very popular and important in the simulation of very-large-scale integration (VLSI) systems. Neutral systems (NSs) with multiple constant delays (MCDs), for example, can be used to model the partial element equivalent circuits (PEECs), which are widely used in high-frequency electromagnetic (EM) analysis. In this paper, the model order reduction (MOR) problem fo...

Stability and Performance Attainment with Fixed Order Controller Using Frequency Response

Recently, a new data driven controller synthesis is presented for calculating the family of stabilizing first, second and fixed order controller using frequency respons. However, this method is applicable just for plants that can guarantee some smoothness at the boundary of the resulted high dimension LMI. This paper solve that issue and extends the approach to fixed order controllers guarantee...