Multi‐input and multi‐output proportional‐integral‐derivative controller design via linear quadratic regulator‐linear matrix inequality approach

JK Pradhan, A Ghosh - IET Control Theory & Applications, 2015 - Wiley Online Library
This study considers the problem of designing a multi‐input and multi‐output (MIMO)
proportional‐integral‐derivative (PID) controller via direct optimal or suboptimal linear …

Parameterized bilinear matrix inequality techniques for gain‐scheduling proportional integral derivative control design

Y Shi, HD Tuan, P Apkarian - International Journal of Robust …, 2020 - Wiley Online Library
Summary Proportional‐integral‐derivative (PID) structured controller is the most popular
class of industrial control but still could not be appropriately exploited in gain‐scheduling …

Simultaneous linear‐quadratic optimal control design via static output feedback

J Lam, YY Cao - International Journal of Robust and Nonlinear …, 1999 - Wiley Online Library
In this paper, the problem of designing a fixed static output feedback control law which
minimizes an upper bound on linear quadratic (LQ) performance measures for r distinct …

A quadratic matrix inequality based PID controller design for LPV systems

Y Wang, R Rajamani, A Zemouche - Systems & Control Letters, 2019 - Elsevier
This paper develops a robust gain-scheduled proportional–integral–derivative (PID)
controller design method for a linear-parameter-varying (LPV) system with parametric …

On the design of multivariable PID controllers via LMI approach

F Zheng, QG Wang, TH Lee - Automatica, 2002 - Elsevier
In this paper, we study the design problem of multivariable PID controllers which guarantee
the stability of the closed loop systems, H2 or H∞ performance specifications, or maximum …

Two-degree-of-freedom multi-input multi-output proportional–integral–derivative control design: Application to quadruple-tank system

JK Pradhan, A Ghosh… - Proceedings of the …, 2019 - journals.sagepub.com
This article is concerned with designing a 2-degree-of-freedom multi-input multi-output
proportional–integral–derivative controller to ensure linear quadratic regulator performance …

New result on PID controller design of LTI systems via dominant eigenvalue assignment

J Liu, H Wang, Y Zhang - Automatica, 2015 - Elsevier
This note considers the problem of assigning the dominant eigenvalues of a linear time-
invariant (LTI) system to the desired positions by using proportional–integral–derivative …

Multivariable PID synthesis via a static output feedback LMI

B Carvalho, L Rodrigues - 2019 IEEE 58th Conference on …, 2019 - ieeexplore.ieee.org
This paper proposes a new methodology to design PID controllers for multiple input multiple
output (MIMO) linear time-invariant systems. First the PID control design is written as a static …

PID controller design for MIMO systems by applying balanced truncation to integral-type optimal servomechanism

Y Ochi, N Yokoyama - IFAC Proceedings Volumes, 2012 - Elsevier
A closed-loop balanced truncation technique has been applied to an integral-type optimal
servomechanism (IOS) expressed in graph-operator form of normalized right coprime …

Analytic Time Domain Specifications PID Controller Design for a Class of 2nd Order Linear Systems: A Genetic Algorithm Method

CL Lee, CC Peng - IEEE Access, 2021 - ieeexplore.ieee.org
In this paper, an analytical approach of a Proportional-Integral-Derivative (PID) controller
design for a servo motor position control with precise desired performance demands is …