MATLAB based implementation of analytic algorithms of modal control with state-vector feedback and output-vector feedback

Abstract

The paper considers a problem of MATLAB-based programmed implementation (as an addition to expansion packs “Control System Toolbox” and “Symbolic Math Toolbox”, for extending possibilities of built-in functions ‘acker’ and ‘place’) of analytic algorithms of modal control with state-vector feedback synthesized by so called Full Pole Placement method, as well as with output-vector feedback (in case of incomplete information about state vector) using the Van der Woude idea. To calculate modal controllers a joined function with Boolean argument (0 for state, 1 for output) is proposed, which allows obtaining analytic solutions of the problem of modal control, that are actual for variable parameter systems, at any multiplicity of poles in original spectrum and in desirable spectrum. The developed algorithms are translated into MATLAB code.