Optimal Control of Roll Axis of Aircraft Using PID Controller

2019 ◽  
pp. 961-969
Author(s):  
V. Bagyaveereswaran ◽  
Subhashini ◽  
Abhilash Sahu ◽  
R. Anitha
Keyword(s):  
Optimal Control ◽  
Pid Controller ◽  
Roll Axis

PID Parameters Tuning for the Control of Nonlinear Systems Using Measure Theory

2011 ◽  
Vol 110-116 ◽  
pp. 4389-4397
Author(s):  
Assef Zare ◽  
A.V. Kamyad
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
Pid Controller ◽  
Measure Theory ◽  
Infinite Horizon ◽  
Finite Horizon ◽  
Step Response ◽  
Control Law ◽  
Time Interval ◽  
Change Of Variable

This paper presents a new approach for tuning PID controller parameters in the control of nonlinear systems. The design is based on optimal tracking of step response for nonlinear systems. The problem is first restated as a non linear optimal control infinite horizon problem, then with a suitable change of variable, the time interval is transferred to the finite horizon [0 1). This change of variable, poses a time varying problem. This problem is then transferred to measure space, and it is shown that an optimal measure must be determined which is equivalent to a linear programming problem with infinite dimension. Then, using finite horizon approximations, the optimal control law as piece wise constant function is determined. Finally, PID controller parameters are Determined using the optimal control law. Simulations are provided to show the effectiveness of the proposed methodology.

scholarly journals PID Controller Singularly Perturbing Impulsive Differential Equations and Optimal Control Problem

2017 ◽  
Vol 2017 ◽  
pp. 1-11
Author(s):  
Wichai Witayakiattilerd
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Approximation Method ◽  
Pid Controller ◽  
Impulsive Differential Equations ◽  
Integral Form ◽  
Impulsive System ◽  
Slow Variable ◽  
Fast Variable

We study singular perturbation of impulsive system with a proportional-integral-derivative controller (PID controller) and solve an optimal control problem. The perturbation system comprises two important variables, a fast variable and a slow variable. Because of the complexity of the system, it is difficult to find its exact solution. This paper presents an approximation method for solving it. The aim of the approximation method is to reduce the complexity of the system by eliminating the fast variable. The solution of the method is expressed in an integral form, and it is called an approximated mild solution of the perturbed system. An example is provided to illustrate our result.

H∞ Controllers With a PID Structure

1990 ◽  
Vol 112 (3) ◽  
pp. 325-336 ◽  
Author(s):  
M. J. Grimble
Keyword(s):  
Optimal Control ◽  
Simple Form ◽  
Pid Controller ◽  
Transfer Functions ◽  
Controller Design ◽  
Design Procedure ◽  
Control Law ◽  
Pid Controller Design ◽  
Computational Procedures ◽  
The Cost

A review is given of the new H∞ Observations Weighted (HOW) optimal control law. The conditions under which the H∞ controller has a PID structure are identified and some implications for PID controller design are discussed. The simple form of this H∞ control law makes it easy to analyse and design. Examples are presented of the design procedure which involves the specification of the cost-function weighting transfer functions. The controller may be applied in applications where fast computational procedures are important.

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