H 2 Model Reduction for SISO Systems

H∞ Suboptimal Model Reduction for Singular Systems

Model reduction problem was investigated for singular systems. To solve the problem, the Silverman-Ho algorithm was given, and based on this algorithm, an optimal model reduction method for the fast subsystem was presented to obtain reduced-order stable models for singular systems. Sequentially, the H∞ suboptimal model reduction algorithm was obtained for singular systems. The advantage of the ...

H∞ model reduction for negative imaginary systems

Model Order Reduction by Routh Stability Array with Stability Equation Method for SISO and MIMO Systems

In this paper, the technique applicable to reduce a high-order system to a low-order system is presented. The methods used are Routh stability array (RSA) method and stability equation (SE) method to get the reduced model of systems. The application of the techniques is examined over SISO linear time invariant systems and extended to MIMO systems. The step response performance of the reduced mo...

Conventional and PSO Based Approaches for Model Reduction of SISO Discrete Systems

Reduction of Single Input Single Output (SISO) discrete systems into lower order model, using a conventional and an evolutionary technique is presented in this paper. In the conventional technique, the mixed advantages of Modified Cauer Form (MCF) and differentiation are used. In this method the original discrete system is, first, converted into equivalent continuous system by applying bilinear...

Lecture 2: Feedback linearization of SISO systems

In this lecture, we investigate the existence of a state feedback control and a change of coordinates that transform a nonlinear control system affine in the inputs into an equivalent linear system. The treatment corresponds to selected parts from Chapter 9 in [1], Chapter 13 in [2], and Chapter 4 in [3].