Inverse controller design for fuzzy interval systems

2006 ◽  
Vol 14 (1) ◽  
pp. 111-124 ◽  
Author(s):  
R. Boukezzoula ◽  
L. Foulloy ◽  
S. Galichet
Keyword(s):  
Controller Design ◽  
Interval Systems ◽  
Fuzzy Interval

Robust fractional-order fixed-structure controller design for uncertain non-commensurate fractional plants using fractional Kharitonov theorem

2021 ◽  
pp. 095965182199135
Author(s):  
Mohsen Ebrahimi ◽  
Mersad Asgari
Keyword(s):  
Fractional Order ◽  
Robust Stability ◽  
Controller Design ◽  
Fractional Order Systems ◽  
Stabilizing Controller ◽  
Kharitonov Theorem ◽  
Comparison Results ◽  
Fixed Structure ◽  
Control Methodology ◽  
Interval Systems

This article deals with the problem of robust fractional-order fixed-structure controller design for commensurate and non-commensurate fractional-order interval systems using fractional Kharitonov theorem. The contribution of this study is to develop a simple control methodology to stabilize the fractional-order Kharitonov-defined vortex polynomials. Using the idea of robust stability testing function and extending it to the systems under study, the straightforward graphical and systematic procedures are proposed to investigate the robust stability of the system by searching for a non-conservative fractional-order Kharitonov region in the controller parameters plane. This region can establish all the fractional-order controllers that make the uncertain fractional-order systems stable. The relation between the fractional-order Kharitonov region and the parameters of the stabilizing controller is also found. Finally, comparison results with three relevant works are given to illustrate the feasibility of the proposed method.

scholarly journals Sine Cosine Algorithm Assisted FOPID Controller Design for Interval Systems Using Reduced-Order Modeling Ensuring Stability

Algorithms ◽  
2020 ◽  
Vol 13 (12) ◽  
pp. 317
Author(s):  
Jagadish Kumar Bokam ◽  
Naresh Patnana ◽  
Tarun Varshney ◽  
Vinay Pratap Singh
Keyword(s):  
Controller Design ◽  
Performance Criteria ◽  
Approximation Technique ◽  
Test Case ◽  
Single Input Single Output ◽  
Reduced Order ◽  
Single Output ◽  
Sine Cosine Algorithm ◽  
Interval Systems ◽  
Order Continuous

The focus of present research endeavor was to design a robust fractional-order proportional-integral-derivative (FOPID) controller with specified phase margin (PM) and gain cross over frequency (ωgc) through the reduced-order model for continuous interval systems. Currently, this investigation is two-fold: In the first part, a modified Routh approximation technique along with the matching Markov parameters (MPs) and time moments (TMs) are utilized to derive a stable reduced-order continuous interval plant (ROCIP) for a stable high-order continuous interval plant (HOCIP). Whereas in the second part, the FOPID controller is designed for ROCIP by considering PM and ωgc as the performance criteria. The FOPID controller parameters are tuned based on the frequency domain specifications using an advanced sine-cosine algorithm (SCA). SCA algorithm is used due to being simple in implementation and effective in performance. The proposed SCA-based FOPID controller is found to be robust and efficient. Thus, the designed FOPID controller is applied to HOCIP. The proposed controller design technique is elaborated by considering a single-input-single-output (SISO) test case. Validity and efficacy of the proposed technique is established based on the simulation results obtained. In addition, the designed FOPID controller retains the desired PM and ωgc when implemented on HOCIP. Further, the results proved the eminence of the proposed technique by showing that the designed controller is working effectively for ROCIP and HOCIP.

Continuous Time Controller Design

IEE Review ◽  
1991 ◽  
Vol 37 (6) ◽  
pp. 228
Author(s):  
Stephen Barnett
Keyword(s):  
Continuous Time ◽  
Controller Design
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