Three-dimensional non-holonomic integrator control design applied to induction motors

In the contribution new results in a control design of a general three-dimensional non-holonomic integrator (NHI) including drift terms is proposed. Beside global asymptotic stability (GAS) proposed non-linear controller assure also minimal input norm during transients and in steady states and high dynamic in output response for a piecewise constant reference input. Due to appropriate input modulation internal states follow natural periodic orbits necessary to fulfill non-holonomic constraints. Introducing a non-linear transformation that describe error dynamics feedback stability is proven by using Lyapunov argumentation. Practical value of the proposed design is illustrated on the example of induction machine torque control along with a simulation and experimental results.