Adaptive Control of Rigid Multi-Degree-of-Freedom Nonlinear Mechanical Plants

The paper considers the problems of control synthesis of a rigid multi-degree-of-freedom (multi-DOF) nonlinear mechanical plant under conditions of parametric and functional uncertainty. Developed and investigated adaptive robust control systems are synthesized on the basis of three approaches: based on the method of computed torque, the method of majorizing functions, and also the method of integrator backstepping with modified adaptation algorithms with parametric projection. The results of a comparative study by modeling the designed adaptive systems for the nonlinear mathematical model of a four-degree manipulation arm described by the Lagrange equations are shown.