In this paper, we propose a gain scheduling control law in nonlinear systems with bounded uncertain time varying inputs. A matching condition is presented to cancel the uncertainty which appears in the term linked directly with the control inputs. If the nonlinear systems are locally robustable, using the proposed control law, the output error can be reduced to the desired bound. Finally, an illustrating example for the regulation problem is provided.

Locally robustable gain scheduling in nonlinear systems with uncertain time varying inputs

An analytical framework for analysis of a class of nonlinear systems with time varying inputs is presented. It is shown that the trajectories of the transformed nonlinear systems are uniformly bounded with an ultimate bound under certain conditions shown in this paper. The result obtained is useful for applications, in particular, analysis and design of gain scheduling.

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Jong-Tae Lim

Papers

Analysis of nonlinear systems with time varying inputs and its application to gain scheduling