Basic Properties and Stability of Fractional-Order Reset Control Systems
For control engineers, this work extends reset control theory to fractional-order systems, but the results are incremental as they generalize known integer-order stability conditions.
This paper studies fractional-order reset control systems, introducing the fractional-order Clegg integrator (FCI) and generalizing stability conditions for fractional-order reset systems. Examples demonstrate the stability theorem's application.
Reset control is introduced to overcome limitations of linear control. A reset controller includes a linear controller which resets some of states to zero when their input is zero or certain non-zero values. This paper studies the application of the fractional-order Clegg integrator (FCI) and compares its performance with both the commonly used first order reset element (FORE) and traditional Clegg integrator (CI). Moreover, stability of reset control systems is generalized for the fractional-order case. Two examples are given to illustrate the application of the stability theorem.