Robust PID control design for an electrostatic micromechanical actuator with structured uncertainty

M. Vagia, Antonios Tzes

    Research output: Contribution to journalArticle

    Abstract

    A robust proportional integral derivative (PID) controller coupled to a feedforward compensator is designed for set-point regulation manoeuvres of an electrostatic micromechanical system. The system is linearised at multiple operating points, and the feedforward compensator provides the nominal voltage. Perturbations around these points are handled from the PID controller, whose gains are tuned via the utilisation of a linear matrix inequality (LMI) approach, which guarantees robustness against the switching nature of the linearised system dynamics. The maximum microspring-stiffness parametric uncertainty that can be tolerated within this scheme, is computed through the use of the small gain theorem. Simulation studies are presented that proves the efficacy of the suggested scheme.

    Original languageEnglish (US)
    Pages (from-to)365-373
    Number of pages9
    JournalIET Control Theory and Applications
    Volume2
    Issue number5
    DOIs
    StatePublished - Jun 9 2008

    Fingerprint

    Structured Uncertainty
    Compensator
    Feedforward
    Control Design
    Electrostatics
    Actuator
    Actuators
    Directly proportional
    Small Gain Theorem
    Derivatives
    Controller
    Derivative
    Controllers
    Parametric Uncertainty
    Linear matrix inequalities
    System Dynamics
    Point Sets
    Categorical or nominal
    Matrix Inequality
    Efficacy

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Human-Computer Interaction
    • Computer Science Applications
    • Control and Optimization
    • Electrical and Electronic Engineering

    Cite this

    Robust PID control design for an electrostatic micromechanical actuator with structured uncertainty. / Vagia, M.; Tzes, Antonios.

    In: IET Control Theory and Applications, Vol. 2, No. 5, 09.06.2008, p. 365-373.

    Research output: Contribution to journalArticle

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