Novel approach to robust PI controller design with state derivative feedback for linear uncertain systems

Korosi, Ladislav; Veselý, Vojtech

doi:10.1109/carpathiancc.2018.8399679

Cited by 1 publication

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Summarizing 12, (13), and (8) and split obtained results with respect to uncertainty one can obtain for time derivative of extended Lyapunov function. The obtained results substitute with (11) to well known Bellman-Lyapunov equation [16], one has got…”

Section: Robust Pi-d Controller Design Using Lmi Regionsmentioning

confidence: 93%

“…The above short survey implies, that in the field of robust controller design there are no methods for robust output PI controller design with derivative state/output feedback. This observation motivated us to study the following research problem [13]. Design the robust PI-D controller using the method of pole placement with H 2 quadratic cost functions, LMI regions, and extended Lyapunov function.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Robust PI-D Controller Design for Uncertain Linear Polytopic Systems Using LMI Regions and $H_2$ Performance

Veselý

Korosi

2019

IEEE Trans. on Ind. Applicat.

Self Cite

View full text Add to dashboard Cite

The paper deals with the new design procedure for PID-D robust controller with state/output derivative feedback to stabilize the closed-loop system using linear matrix inequality (LMI) and LMI regions with common in the frame of H 2 performance quadratic cost functions known as (Q, S, R). The designed robust controller ensures robust properties of the closed loop system for linear time invariant and linear time variant gain scheduled plant descriptor systems. The robust controller design procedure is based on the extended original derivative of Lyapunov function and to obtain the convex conditions with respect to uncertainties, gain scheduled variables, and ensures that proposed new method guarantees less conservativeness to the design procedure we have introduced using the auxiliary matrices. The obtained results should be utilized to design power system stabilizer for synchronous generators and so on. The obtained robust PI-D controller with output and state/output derivative feedback for uncertain polytopic systems ensures that all closed-loop eigenvalues are lying in the defined LMI region. Two examples illustrate the effectiveness of the new design procedure.

show abstract

Section: Robust Pi-d Controller Design Using Lmi Regionsmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%