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The paper presents discrete time sliding mode control (DSMC) for permanent magnet (PM) stepper motor which is known to be differentially flat system. Discretization of continuous time model of the stepper motor has been carried out and linearizing outputs are selected. Discrete state variables and control inputs are obtained in terms of linearizing outputs and their higher order differences. Linearized...
A new approach is presented to analyze sliding mode control in discrete-time systems using an established reaching law, whereby the ultimate band is obtained to be lesser than any previous analysis done with the same reaching law. Also, the controller parameters are evaluated according to the ultimate band that is desired. The approach begins with defining several bands in the space of the surface...
Whenever we compute control using digital computer, the states measured need to be converted to digital word before processing in the computer. This conversion gives rise to quantization error in state measurement which in turn affects the applied control to the plant. This would cause the system dynamics to deviate from the behaviour predicted by any theoretical analysis which does not consider the...
A new discrete time super-twisting-like second order sliding mode algorithm (DSTA) is proposed. The stability proof of the suggested scheme is analyzed in terms of the discrete Lyapunov approach and Linear Matrix Inequalities (LMI) theory. Using these two tools it is proved that, system state trajectory is ultimately bounded in finite time. The state estimation problem for a class of second order...
This paper presents discrete time sliding mode control which uses multirate output feedback and power rate reaching law. The method proposed here uses only output samples and past control input for switching function evaluation and sliding mode control. The discrete time version of power rate reaching law has been obtained and then output samples based algorithm has been developed. It has been shown...
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