Volume 1, Issue 1

Optimal Tuning of Controllers Based on Ga and De

Author

Jagadish Pati1, Pratap Chandra Nayak2

Abstract

In this paper a comparative study on the use of Genetic algorithms (GA) and Differential evolution
(DE) for control systems design is presented. GA and DE are used for offline design of control
schemes for continuous-time linear time invariant systems both in complex domain and time domain
formulations. In the complex domain controller design, the design philosophy is based on
approximate model matching in which a reference model is parameterized from time, frequency and
complex domain specifications which ensure both stability and performance margin. The nominal
plant model is known; the problems become to search the controller parameters through
minimization of a scalar objective function, so that the augmented plant with controller matches the
reference model. In time domain design, the sub-optimal control problem is considered in which the
coefficients of the gain matrix is searched through minimization of a cost function developed on
control input and state vector. GA and DE are used in both the design methods and applied in the
single input single output (SISO) systems, Multi input and single output (MIMO) systems and
systems with time delays. Examples are included to highlights the efficacy of the proposed
methods.

DOI

https://doi.org/10.62226/ijarst20120129

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