Adaptive control of a class of multivariable nonaffine systems | IEEE Conference Publication | IEEE Xplore

Adaptive control of a class of multivariable nonaffine systems


Abstract:

A neural synthesis method is considered for a class of multivariable nonaffine uncertain systems. The method extends the previous approach developed in a single-input sin...Show More

Abstract:

A neural synthesis method is considered for a class of multivariable nonaffine uncertain systems. The method extends the previous approach developed in a single-input single-output system to a mufti-input multi-output system without resorting to a fixed-point assumption or boundedness assumption on the time derivative of a control effectiveness term. By assuming that the uncertain input matrix term is dominated by the known part of the input matrix, we show that a new inverting method can be developed taking nonaffineness into account for its synthesis procedure. Using Lyapunov’s direct method, it is shown that all the signals of the closed-loop system are uniformly ultimately bounded, and that the tracking error converges to an adjustable neighborhood of the origin. Simulation with a double Van Der Pol system having nonaffine control terms illustrates the approach.
Date of Conference: 12-14 December 2007
Date Added to IEEE Xplore: 21 January 2008
ISBN Information:
Print ISSN: 0191-2216
Conference Location: New Orleans, LA, USA

References

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