Fixed-order stabilising controller design by a mixed randomised/deterministic method

Abstract

A novel mixed randomised/deterministic method for fixed-order controller design is proposed for discrete-time single-input single-output plants. It is based on the random generation of Schur stable polynomials using reflection coefficients and reflection segments of polynomials. Stable reflection segments are then projected onto the affine set of closed-loop characteristic polynomials and the stable line segments in the controller parameter space are determined. A novel approach is proposed for global and local optimisation over reflection segment bunches on the basis of the weighted sum of absolute values of reflection coefficients.

Keywords:

• output control
• stabilising controllers
• discrete-time systems
• random search

Additional information

Funding

This research was supported by the European Union through the European Regional Development Fund [grand number TK124, 3.2.0101.11-0037].