Logarithmic sliding function obtaining from a systematic procedure has been provided for reliable variable structure control of uncertain stochastic multi-input systems such that guarantees global asymptotic stability of closed loop system with probability one. Control effort, robustness of the system and other operational characteristics may vary depending on selected sliding manifold. In the previous researches on uncertain stochastic systems, the sliding surface structure generally is known from the beginning which is an initial restriction, like a linear sliding manifold as an example. This constraint causes the switching variable placed in a limited work space and therefore resultant sliding surface is locally optimum or desirable. Recently, we proposed a method extracting sliding manifold through a targeted strategy with no initial restriction on its structure and unlike other similar studies gives a global optimality. The offered method cannot be used for multi-input systems and hasn’t been developed, yet. In this paper we have extended this technique to be applicable for systems with multiple inputs and ensured the reachability of all sliding surfaces. Illustrative examples are given in order to show the feasibility of the method
کلید واژگان :asymptotic stability, stochastic system, sliding surface, multiple inputs
ارزش ریالی : 600000 ریال
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