
doi: 10.1155/2014/845370
We extend an iterative approximation method to nonlinear, distributed parameter systems given by partial differential and functional equations. The nonlinear system is approached by a sequence of linear time-varying systems, which globally converges in the limit to the original nonlinear systems considered. This allows many linear control techniques to be applied to nonlinear systems. Here we design a sliding mode controller for a nonlinear wave equation to demonstrate the effectiveness of this method.
Control/observation systems governed by functional-differential equations, Control/observation systems governed by partial differential equations, QA1-939, Nonlinear systems in control theory, Variable structure systems, Mathematics
Control/observation systems governed by functional-differential equations, Control/observation systems governed by partial differential equations, QA1-939, Nonlinear systems in control theory, Variable structure systems, Mathematics
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