Abstarct: The mean stability is necessary for proper function of control systems. Kharitonov theorem is one of the well-khown theorems to provide the stability of uncertain systems. Researches shown, the system stability could be investigated by kharitonov for integer system or obtaining at least four polynominals, but in non-integer systems, the number of these polynominals is not costant. In this study we describe the procedure of finding khoritonov polynominals for fractional mechanical system, and we also explain two procedures checking its stability baxsed on robust stability testing function and plotting convex polygonals. additionally we participate fractional order proportional-integral-diffrantial controller parameteres. Then we obtain controller parameters by these two procedures. First procedure is graphical procedure baxsed on plotting kharitonov polynominals for controlled system and approaching to intersection limites among uncertain parameters. And second procedure is using particle swarm optimization algorithm to obtain the controller parameters in the most optimized condition. Finally we conduct using graphical procedures wich decrease noteworthily mathematical complex calculation of fractional order systems, we can control fractional order systems by setting PID controller and make necessary conditions for its stability with attention to our expectancy of systems.