Model following variable structure control design in reciprocal state space framework with dead-zone nonlinearity and lumped uncertainty

This paper addresses the need of the novel reciprocal state space (RSS) framework to be the supplement of standard state space system in control designs. A model following design based on variable structure control design approach utilizing direct state derivative measurement for an RSS system with nonlinear dead-zone input is proposed. Simulations for both nonlinear dead-zone input and nonlinear sector input are carried out for an unstable RSS system to successfully verify the proposed algorithm. It shows that the design procedure is straightforward for systems with direct state derivative measurement if we express the system in RSS framework.