SummaryThis article presents conditions to assure the second‐moment stability for a class of nonlinear Markov jump systems. The main assumption requires that the control and nonlinear terms form orthogonal vectors, a novel condition in the context of Markov jump systems. The second‐moment stability is verified through linear matrix inequalities—the conditions account the case in which the Markovian mode is either accessible or inaccessible to the controller. A real‐time automotive application illustrates the potential benefits of our approach.
Control system designs are becoming increasingly complex due to the operational requirements of current processes. An alternative way to this fact is the application of intelligent systems. This work presents a design of a fuzzy controller tuned by genetic algorithm and applied to the velocity control of a DC motor. For comparative performance purposes, it is designed and applied a conventional PI controller. In general, the fuzzy controller presented a better result compared with the conventional implementation. Results from computer simulations are presented.
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