Procedural and software development of a Liapunov-based stability analysis method for interpolative-type control systems

Non-linear control systems stability and as a particular case the stability of interpolative-type control structures (as fuzzy, neural or pure interpolative control systems) is an intensively studied problem, due to its multiple applicative valences. In the specialized literature there are some approaches regarding the fuzzy system stability [1]. Referring the control systems with interpolative controllers, there are just a few studies and the existing work is limited to the stability study of the interpolation method [3]. The present paper approaches a methodological procedure and the basic idea of a software tool for the stability analysis based on direct Liapunov method applied to control systems with fuzzy and interpolative controllers.