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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