Adaptive disturbance attenuation via logic-based switching |
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| Affiliation: | 1. University of Florence, Dipartimento di Ingegneria dell’Informazione (DINFO), Via di Santa Marta 3, 50139 Firenze, Italy;2. Università della Calabria, Dipartimento di Ingegneria Informatica, Modellistica, Elettronica e Sistemistica (DIMES), Via P. Bucci, cubo 42/c, 87036 Arcavacata di Rende (CS), Italy;3. University of Groningen, Institute for Technology & Management, Faculty of Mathematics and Natural Sciences, Nijenborgh 4, 9747 AG Groningen, The Netherlands;1. Faculty of Engineering and Natural Sciences, Aalesund University College, Ålesund, Norway;2. Islamic Azad University of Kazeroon, Kazeroon, Iran;1. School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, PR China;2. School of Environmental and Biological Science and Technology, Dalian University of Technology, Dalian, Liaoning 116012, PR China |
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| Abstract: | The problem of attenuating unknown and possibly time-varying disturbances acting on a linear time-invariant dynamical system is addressed by means of an adaptive switching control approach. Given a family of pre-designed stabilizing controllers, a supervisory unit infers in real-time the potential behavior of each candidate controller and selects the one providing the best potential performance. To this aim, a set of test functionals is defined, which is shown to enjoy favorable inference properties under certain assumptions on the nature of the disturbances. Both persistent-memory and finite-memory test functionals are analyzed. Further, an implementation of the switching controller is proposed which always guarantees stability of the feedback loop, even if the disturbance characteristics are such that the switching is persistent. Simulation results are provided to show the effectiveness of the proposed method. |
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| Keywords: | Adaptive control Switching control Adaptive disturbance attenuation |
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