A simplified minimal realization of a transfer-function matrix using its modified Markov parameters

A technique for the simplified minimal realization of a transfer function matrix by its expansion about an arbitrary point "a" is proposed. The resulting quadruple [A, B, C, D] from this technique is more general than the quadruple [A, B, C, D] resulting from existing techniques.     

`EDCON': an educational control system analysis and design program

A PC-based software package called EDCON which is a useful tool for teaching basic control system theory is discussed. It provides a user friendly environment that allows students to vary system parameters and design requirements to see the effects on system response. The package is designed around the root locus plot of a unity feedback control system. It uses a second order approximation technique to calculate and graph the unit step response of the system for any value of gain, and gives all the time and frequency parameters of the system. The package was developed to be used as a complement to an undergraduate course in control systems analysis and design     

Complementary root locus revisited

In this paper, a new finding related to the well-known root locus method that is covered in the introductory control systems books is presented, It is shown that some of the complementary root locus rules and properties are not valid for systems with loop transfer functions that are not strictly proper. New definitions for root locus branches have been presented which divide them into branches passing through infinity and branches ending at or starting from infinity. New formulations for calculating the number of branches passing through the infinity point of intersection of the asymptotes on the real axis, and angles of these asymptotes with the real axis have been introduced. It has been shown this type of system with the order of n will have at least one and at most n branches which will pass through infinity. The realization and stability of these systems have been investigated, and their gain plots have been presented. The new finding can be used by educators to complement their lecture materials of the root locus method. By using problems similar to examples presented in the paper, analytical understanding of the students in a classical control systems course can be tested     

Minimal realisation algorithm for impulse response matrix using modified moments

A procedure for the minimal realisation of an impulse response matrix is proposed. The procedure is based on the expansion of moments of the impulse response matrix about an arbitrary point a. The procedure is illustrated with the help of an example.     

Transfer-function matrix realization using Taylor series expansion about a general pointa

A procedure for the realization of a transfer function matrix by expanding it about a pointais proposed. The procedure is based on the well-known method by Ho and Kalman and its modification by Bruni et al. The procedure is illustrated with the help of an example.     

Systolic array for VLSI implementation of realization techniques

A technique for implementing the realization algorithm from input-output data of the system directly in hardware is proposed. The proposed technique results in low cost, special purpose devices which can quickly solve realization problems. The systolic arrays for VLSI implementation of the different steps of the realization algorithm are developed.     

Family of reduced-order models for linear multivariable systems

A new reduction procedure based on the construction of a modified Hankel matrix from Markov parameters is proposed. The reduced model is in terms of an arbitrary parameter a. Thus, different reduced models of the same order can be obtained by substituting different values of a.