Robust  PID ‐ PSD  Controller Design:  BMI  Approach | Zendy

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Robust PID ‐ PSD Controller Design: BMI Approach

Author(s) -

Veselý Vojtech,

Rosinová Danica

Publication year - 2013

Publication title -

asian journal of control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.769

H-Index - 53

eISSN - 1934-6093

pISSN - 1561-8625

DOI - 10.1002/asjc.559

Subject(s) - pid controller , control theory (sociology) , mathematics , affine transformation , quadratic equation , mathematical optimization , computer science , engineering , control (management) , control engineering , temperature control , artificial intelligence , pure mathematics , geometry

A new robust proportional‐integral‐derivative ( PID )–proportional‐sum‐derivative ( PSD ) controller design method based on linear (bilinear) matrix inequalities ( LMI , BMI ) is proposed for uncertain affine linear system. The design procedure guarantees the parameter dependent quadratic stability, and guaranteed cost control with a new quadratic cost function ( LQRS ) including the derivative term for the state vector as a tool to influence the overshoot and response rate. The second approach to the PSD controller design procedure is based on a Lyapunov function with a special term corresponding to the time‐delay part of the control algorithm. The results obtained are illustrated on three examples to show the robust PID , PSD control design procedure and the influence of the choice of matrix S in the extended cost function.

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