A two-phase approach for the design of two-degree-of-freedom of robust controller for higher order interval system

2020 ◽  
Vol 14 (2) ◽  
pp. 161
Author(s):  
D. Srinivasa Rao ◽  
Mangipudi Siva Kumar ◽  
M. Ramalinga Raju
Keyword(s):  
Higher Order ◽  
Degree Of Freedom ◽  
Order Interval ◽  
Robust Controller ◽  
Two Phase ◽  
Interval System ◽  
Phase Approach ◽  
Two Degree Of Freedom

scholarly journals Design of Robust Controller for Higher Order Interval System using Differential Evolutionary Algorithm

2018 ◽  
Vol 7 (4) ◽  
pp. 232
Author(s):  
D. Srinivasa Rao ◽  
M. Siva Kumar ◽  
M. Ramalinga Raju
Keyword(s):  
Pid Controller ◽  
Higher Order ◽  
Stability Conditions ◽  
Order Interval ◽  
Order Model ◽  
Robust Controller ◽  
Interval System ◽  
Interval Model ◽  
Reduced Order ◽  
De Algorithm

This paper describes the design of the robust PI/PID controller for the higher order interval system via its reduced order model using the differential evolution (DE) algorithm. A stable reduced interval model is generated from a higher order interval system using the DE in order to minimize the cost and reduce the complexity of the system. This reduced order interval numerator and denominator polynomials are determined by minimizing the Integral Squared Error (ISE) using the DE. Then, using reduced order interval model, a robust PI/PID controller is designed based on the stability conditions for determining robust stability of interval system. Finally, using these stability conditions, a set of inequalities in terms of controller parameters is obtained from the reduced order closed loop characteristic polynomial. Then these inequalities are solved to obtain robust controller parameters with the help of a DE algorithm. The designed, robust controller from the reduced order interval model will be attributed to the higher order interval system. The designed PI/PID controller from our proposed method not only stabilizes the reduced order model, but also stabilizes the original higher order system. The viability of the proposed methodology is illustrated through the numerical example of its successful implementation. The efficacy of the proposed methodology is also evaluated against the available approaches presented in the literature and the results were successfully implemented.

Two-Degree-of-Freedom H Robust Controller for a Flexible Missile

1998 ◽  
Vol 21 (3) ◽  
pp. 518-521 ◽  
Author(s):  
K. Koshy George ◽  
M. Seetharama Bhat
Keyword(s):  
Degree Of Freedom ◽  
Robust Controller ◽  
Two Degree Of Freedom

Robust Control of a Flexible Arm

1994 ◽  
Vol 6 (3) ◽  
pp. 214-219
Author(s):  
Kang-Zhi Liu ◽  
◽  
Koji Higaki ◽  
Tsutomu Mita
Keyword(s):  
Robust Control ◽  
Control Theory ◽  
Vibration Control ◽  
Feedback Controller ◽  
Degree Of Freedom ◽  
Matching Method ◽  
Robust Controller ◽  
Flexible Arm ◽  
Feedforward Controller ◽  
Two Degree Of Freedom

This paper addresses the vibration control of a flexible arm with a two-degree-of-freedom robust controller. The feedback controller is designed by <I>H</I>∞ control theory to achieve robust distrubance attenuation, and the feedforward controller is designed by a signal-matching method to improve the trasient response. An experiment verifies that this methodology is effective.

Robust Controller Design for Robot Manipulators

1988 ◽  
Vol 110 (1) ◽  
pp. 94-96 ◽  
Author(s):  
T. Sugie ◽  
T. Yoshikawa ◽  
T. Ono
Keyword(s):  
Control Method ◽  
Controller Design ◽  
Robot Manipulators ◽  
Degree Of Freedom ◽  
Robust Controller ◽  
Two Degree Of Freedom ◽  
Robust Controller Design

In this paper we give a control method for robot manipulators which takes account of both the command response and the robustness in a systematic way by utilizing two-degree-of-freedom controller configuration. A simulation result is given to show the validity of our method.

scholarly journals Higher order stochastic averaging method for mechanical systems having two degrees of freedom

2004 ◽  
Vol 26 (2) ◽  
pp. 103-110
Author(s):  
Nguyen Duc Tinh
Keyword(s):  
Degrees Of Freedom ◽  
Averaging Method ◽  
Stochastic Averaging ◽  
Stochastic Averaging Method ◽  
Higher Order ◽  
Degree Of Freedom ◽  
Approximation Solution ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Two Degree Of Freedom

Higher order stochastic averaging method is widely used for investigating single-degree-of-freedom nonlinear systems subjected to white and coloured random noises.In this paper the method is further developed for two-degree-of-freedom systems. An application to a system with cubic damping is considered and the second approximation solution to the Fokker-Planck (FP) equation is obtained.

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