Title: Symposium on Fractional Signals and Systems
1 Symposium on Fractional Signals and Systems
- Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes via Fractional
Calculus Based Techniques - Mohammad Saleh Tavazoei
- Electrical Engineering Department, Sharif
University of Technology - (tavazoei_at_sharif.edu)
2Contents
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
- Introduction
- PI Stabilization of First-Order Plus Dead Time
Unstable Processes - Gain-Phase Margin Specifiable Area in PI Control
based Stabilization - Stabilization of First-Order Plus Dead Time
Unstable Processes Using a Fractional-Order
Controller - Gain-Phase Margin Specifiable Area in
FractionalOrder Control based Stabilization - Conclusions
3Introduction
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
- Conventional PI and PID controllers have been
extensively used for achieving different control
objectives in control of stable processes. - Moreover, these controllers have been used to
stabilize unstable processes. - The free parameters of these conventional
controllers can be tuned in order to have desired
values for specifications such as gain margin,
phase margin or maximum peak response.
4Introduction
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
- It is obvious that any controller has some
limitations in fulfilling the mentioned
specifications, and consequently the desired
values for these specifications can be selected
in special areas. - Our aim is to show that the area in that the
desired values for some specifications can be
chosen can be expanded by applying fractional
calculus based techniques.
5PI Stabilization of First-Order Plus Dead Time
Unstable Processes
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
6PI Stabilization of First-Order Plus Dead Time
Unstable Processes
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
7PI Stabilization of First-Order Plus Dead Time
Unstable Processes
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
8Gain-Phase Margin Specifiable Area in PI Control
based Stabilization
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
9Gain-Phase Margin Specifiable Area in PI Control
based Stabilization
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
10Gain-Phase Margin Specifiable Area in PI Control
based Stabilization
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
11Gain-Phase Margin Specifiable Area in PI Control
based Stabilization
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
12Stabilization of First-Order Plus Dead Time
Unstable Processes Using a Fractional-Order
Controller
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
13Stabilization of First-Order Plus Dead Time
Unstable Processes Using a Fractional-Order
Controller
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
14Stabilization of First-Order Plus Dead Time
Unstable Processes Using a Fractional-Order
Controller
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
15Stabilization of First-Order Plus Dead Time
Unstable Processes Using a Fractional-Order
Controller
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
16Stabilization of First-Order Plus Dead Time
Unstable Processes Using a Fractional-Order
Controller
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
17Gain-Phase Margin Specifiable Area in
FractionalOrder Control based Stabilization
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
18Gain-Phase Margin Specifiable Area in
FractionalOrder Control based Stabilization
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
19Gain-Phase Margin Specifiable Area in
FractionalOrder Control based Stabilization
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
20Gain-Phase Margin Specifiable Area in
FractionalOrder Control based Stabilization
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
21Gain-Phase Margin Specifiable Area in
FractionalOrder Control based Stabilization
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
22Conclusions
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
- A fractional order controller as a modified
version of the traditional PI controller was
introduced and it was used in stabilization of
unstable processes which are described by
first-order plus dead time models. - The introduced controller in comparison to the
conventional PI controller can be used for
controlling a wider range of unstable processes. - When one uses the proposed fractional order
controller the desired phase and margin
specifications can be chosen in a wider area. - Fractional calculus based techniques can be
applied in enhancing the performance of
conventional controllers.
23The End
Expanding Gain-Phase Margin Specifiable Area In
Control of Unstable Processes
Thank You! Any Question?