Multi-rate ripple free dead beat control for nonlinear system using diophantine equations

Abstract

Despite previous efforts to solve linear and nonlinear deadbeat control systems, a need still exists for better methodology in terms of performance and stability. This paper proposes a new design methodology for deadbeat control of nonlinear systems in discrete-time. The proposed methodology is based on partitioning the solution into two components; each with different sampling time. The proposed control can be divided into two sub-controllers: one uses state feedback and the other uses the Diophantine equations. The complete nonlinear design guarantees the convergence to a neighbourhood of origin from any initial state in finite time; thus, providing a stable deadbeat performance. Results show that the ripple-free deadbeat controller is able to track the input signal and the error decays to zero in a finite number of sampling times.