| Title: | MATHEMATICAL MODEL AND ANALYSIS OF THE SIMPLEST FUZZY TWO - TERM (PI/PD) CONTROLLER |
| DOI No: | 10.1142/9781860948534_0056 |
| Source: | INNOVATIVE APPLICATIONS OF INFORMATION TECHNOLOGY FOR THE DEVELOPING WORLD (pp 360-366)
|
| Author(s): | B. M. MOHAN
Corresponding author, Fax:+91-3222-282262, 255303, 282700.
Department of Electrical Engineering, Indian Institute of Technology, Kharagpur-721302, India
ARPITA SINHA
Department of Electrical Engineering, Indian Institute of Technology, Kharagpur-721302, India
|
| Abstract: | This paper reveals a mathematical model for the simplest fuzzy two-term (PI/PD) controller employing Γ-function type and L-function type input fuzzy sets, Λ-function type output fuzzy sets, algebraic product t-norm, bounded sum t-conorm, Mamdani minimum inference and center of sums (COS) defuzzification. The properties of this model are studied. Using the well-known small gain theorem 2 we establish sufficient conditions for bounded-input bounded-output (BIBO) stability of feedback systems containing the above controller as a subsystem. |
| Full Text: | View full text in PDF format (308KB) |
| TOC: | Back to Table of Contents |
|
|
