Nonlinear controller synthesis based on inverse describing function technique in the MATLAB environment

Nassirharand, Amir; Karimi, Hossein

doi:10.1016/j.advengsoft.2005.09.009

Cited by 22 publications

(10 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is determined by the filtered command tracking errors. Nonlinear controller's syntheses using inverse describing function for use with hard nonlinear system have developed for several researchers [11][12][13]. They are complicated but effective for nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Model Based Adaptive Piecewise Linear Controller for Complicated Control Systems

Tsay

2014

Journal of Applied Mathematics

View full text Add to dashboard Cite

A model based adaptive piecewise linear control scheme for industry processes with specifications on peak overshoots and rise times is proposed. It is a gain stabilized control technique. Large gain is used for large tracking error to get fast response. Small gain is used between large and small tracking error for good performance. Large gain is used again for small tracking error to cope with large disturbance. Parameters of the three-segment piecewise linear controller are found by an automatic regulating time series which is function of output characteristics of the plant and reference model. The time series will be converged to steady values after the time response of the considered system matching that of the reference model. The proposed control scheme is applied to four numerical examples which have been compensated by PID controllers. Parameters of PID controllers are found by optimization method. It gives an almost command independent response and gives significant improvements for response time and performance.

show abstract

Section: Introductionmentioning

confidence: 99%

Model Based Adaptive Piecewise Linear Controller for Complicated Control Systems

Tsay

2014

Journal of Applied Mathematics

View full text Add to dashboard Cite

show abstract

“…It is determined by the filtered command tracking errors. Nonlinear controllers syntheses using inverse describing function for use with hard nonlinear system have been developed for several researchers [11][12][13][14]. They are complicated but effective for nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Piecewise Linear Controller for Servo Mechanical Control Systems

Tsay

2013

JAMP

View full text Add to dashboard Cite

In this paper, an adaptive piecewise linear control scheme is proposed for improving the performance and response time of servo mechanical control systems. It is a gain stabilized control technique. No large phase lead compensations or pole zero cancellations are needed for performance improvement. Large gain is used for large tracking error to get fast response. Small gain is used between large and small tracking error for good performance. Large gain is used again for small tracking error to cope with disturbance. It gives an almost command independent response. It can speed up the rise time while keeping robustness unchanged. The proposed control scheme is applied to a servo system with large time lag and a complicated electro-hydraulic velocity/position servo system. Time responses show that the proposed method gives significant improvements for response time and performance.

show abstract

“…engine. The justification for the use of SIDF models is given in items (a)-(d) noted below [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

“…In 1983, a new platform for design of classical nonlinear feedback control systems based on one, two, or more than two describing function models of the plant was introduced [16]. That platform has been applied to design robust nonlinear feedback systems in robotics and aerospace industries (e.g., [15], [17][18][19][20][21] and references therein). In this research, a new implementation of this design platform to automobile idle speed control problem is investigated for the first time.…”

mentioning

confidence: 99%

Application of describing function technique to idle speed control

Nassirharand

Teh

2010

Proceedings of the 2010 American Control Conference

Self Cite

View full text Add to dashboard Cite

This paper aims at providing a simple solution to the idle speed control problem. The controller design method is systematic. The method is based on obtaining a describing function model of the I.C. engine followed by designing a classical controller via an algebraic approach. The application of the controller design method to an uncertain automobile engine with time-delay revealed satisfactory results. The performance of the controller is compared with one other procedure previously reported in the open literature. Stability is demonstrated by successful generation of describing function models of the final nonlinear closed-loop system.

show abstract

Nonlinear controller synthesis based on inverse describing function technique in the MATLAB environment

Cited by 22 publications

References 8 publications

Model Based Adaptive Piecewise Linear Controller for Complicated Control Systems

Model Based Adaptive Piecewise Linear Controller for Complicated Control Systems

Adaptive Piecewise Linear Controller for Servo Mechanical Control Systems

Application of describing function technique to idle speed control

Contact Info

Product

Resources

About