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Article

Design of State-Feedback Controllers for Linear Parameter Varying Systems Subject to Time-Varying Input Saturation

1
Research Center for Supervision, Safety and Automatic Control, UPC, Rambla Sant Nebridi, 22, 08222 Terrassa, Spain
2
Institut de Robòtica i Informàtica Industrial, CSIC-UPC, Llorens i Artigas 4-6, 08028 Barcelona, Spain
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(17), 3606; https://doi.org/10.3390/app9173606
Received: 29 July 2019 / Revised: 22 August 2019 / Accepted: 27 August 2019 / Published: 2 September 2019
(This article belongs to the Section Applied Industrial Technologies)
All real-world systems are affected by the saturation phenomenon due to inherent physical limitations of actuators. These limitations should be taken into account in the controller’s design to prevent a possibly severe deterioration of the system’s performance, and may even lead to instability of the closed-loop system. Contrarily to most of the control strategies, which assume that the saturation limits are constant in time, this paper considers the problem of designing a state-feedback controller for a system affected by time-varying saturation limits with the objective to improve the performance. In order to tie variations of the saturation function to changes in the performance of the closed-loop system, the shifting paradigm is used, that is, some parameters scheduled by the time-varying saturations are introduced to schedule the performance criterion, which is considered to be the instantaneous guaranteed decay rate. The design conditions are obtained within the framework of linear parameter varying (LPV) systems using quadratic Lyapunov functions with constant Lyapunov matrices and they consist in a linear matrix inequality (LMI)-based feasibility problem, which can be solved efficiently using available solvers. Simulation results obtained using an illustrative example demonstrate the validity and the main characteristics of the proposed approach. View Full-Text
Keywords: LPV Systems; LPV control; Input saturation LPV Systems; LPV control; Input saturation
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MDPI and ACS Style

Ruiz, A.; Rotondo, D.; Morcego, B. Design of State-Feedback Controllers for Linear Parameter Varying Systems Subject to Time-Varying Input Saturation. Appl. Sci. 2019, 9, 3606. https://doi.org/10.3390/app9173606

AMA Style

Ruiz A, Rotondo D, Morcego B. Design of State-Feedback Controllers for Linear Parameter Varying Systems Subject to Time-Varying Input Saturation. Applied Sciences. 2019; 9(17):3606. https://doi.org/10.3390/app9173606

Chicago/Turabian Style

Ruiz, Adrián, Damiano Rotondo, and Bernardo Morcego. 2019. "Design of State-Feedback Controllers for Linear Parameter Varying Systems Subject to Time-Varying Input Saturation" Applied Sciences 9, no. 17: 3606. https://doi.org/10.3390/app9173606

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