Correlation between Conventional Control Performance Criteria &Modern Control Quadratic Performance Index

Abstract

The thesis reports research on the correlation between conventional control performance criteria and modern control quadratic performance index. In conventional control theory the techniques for achieving some or all of the desired figures of merit have been highly developed. Modern control theory optimizes a system performance: based upon a desired performance index, PI. The work is extended to form the basis for the correlation between the conventional control figures of merit and the diagonal elements of the Q matrix of the quadratic performance index (the off diagonal terms being zero). This correlation is established for a third-order single input - single output system, enabling a system designer to optimize a system and at the same time satisfying some or all of the conventional figures of merit. All these requirements result in a number of the elements of the Riccati matrix being specified in terms of the known parameters