Title :
Fixed order stabilizing controller design via random reflection segments
Author :
Nurges, Ulo ; Avanessov, Sergei
Author_Institution :
Inst. of Cybern., Tallinn Univ. of Technol., Tallinn, Estonia
Abstract :
A novel randomized approach to fixed-order controller design is proposed for discrete-time SISO plants. It is based on the random generation of Schur stable polynomials using reflection coefficients and reflection segments of polynomials. Stable reflection segments are projected onto affine set of closed-loop characteristic polynomials which is defined by the controller parameters and the stable line segments in the controller parameter space are then determined. A novel approach is proposed for global and local optimization over reflection segment bunches on the basis of the weighted sum of absolute values of reflection coefficients.
Keywords :
control system synthesis; discrete time systems; stability; Schur stable polynomials; absolute values; closed-loop characteristic polynomials; controller parameter space; controller parameters; discrete-time SISO plants; fixed order stabilizing controller design; fixed-order controller design; global optimization; local optimization; random generation; random reflection segments; randomized approach; reflection coefficients; reflection segment bunches; stable line segments; stable reflection segments; weighted sum; Aerospace electronics; Correlation; Optimization; Polynomials; Reflection; Stability criteria; Vectors;
Conference_Titel :
Control Automation Robotics & Vision (ICARCV), 2012 12th International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4673-1871-6
Electronic_ISBN :
978-1-4673-1870-9
DOI :
10.1109/ICARCV.2012.6485214