Abstract
This paper considers the problem of controlling a class of nonholonomic systems in high-order chained form, which is described by a set of nonlinear differential equations. Our novel approach is based on coordinate transformations and sampled data control. First, the nonholonomic system is discretized by a zero order hold and a sampler. A time-varying discrete-time coordinate transformation is utilized to reduce the stabilization problem to a standard pole assignment problem for a controllable and observable linear time-invariant discrete-time system. Both a new state feedback controller and a new dynamic output feedback controller based on state-observer are presented for obtaining global exponential stabilization of the system. Moreover, the proposed design methods are simple and straightforward. Some simulation results are performed to validate the effectiveness of the proposed controllers.
