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Nonlinear boundary control of coupled Burgers' equations

Kobayashi T., Oya M.

Control and Cybernetics

2003

Vol. 32, no 2

245-258

This paper is concerned with adaptive stabilization of two coupled viscous Burgers' equations by nonlinear boundary controllers. Under the existence of bounded deterministic disturbances, the adaptive controllers are constructed by the concept of high-gain nonlinear output feedback and the estimation mechanism of the unknown parameters. In the controlled system the global stability and the convergence of the system states to zero will be guaranteed. It is shown that the theory can be generalized to the systems with higher-order nonlinearity.