A HOMOTOPY APPROACH FOR NONLINEAR CONTROL SYNTHESIS

In this paper, the authors propose a control method for non linear sys tems which relies on the homotopy method for solving nonlinear equatio ns and tangent linearized control systems. They present a mathematical ly rigorous treatment of the theoretical foundations, including a cons tructive proof of the exponential error decay for the controlled syste m which contains an explicit control design instruction. For illustrat ion, this design instruction is applied to an example system. The beha vior of the controlled system is examined by numerical simulations, To demonstrate the advantages and drawbacks of the proposed method they include a short comparison with two usual nonlinear control techniques by means of the considered example system.