Experimental Studies of a Fractional Order Universal Adaptive Stabilizer

2008 ◽  
Author(s):  
Shayok Mukhopadhyay ◽  
Yan Li ◽  
YangQuan Chen
Keyword(s):  
Fractional Order ◽  
Experimental Studies ◽  
Adaptive Stabilizer

scholarly journals Design and Experimental Investigations on NOx Emission Control Using FOCDM (Fractional-Order-Based Coefficient Diagram Method)-PIλDµ Controller

2020 ◽  
Vol 53 (5) ◽  
pp. 695-703
Author(s):  
Maheswari Chennippan ◽  
Priyanka E. Bhaskaran ◽  
Thangavel Subramaniam ◽  
Balasubramaniam Meenakshipriya ◽  
Kasilingam Krishnamurthy ◽  
...  
Keyword(s):  
Fractional Order ◽  
Packed Column ◽  
Experimental Studies ◽  
Pso Algorithm ◽  
Experimental Investigations ◽  
Nox Removal ◽  
Diagram Method ◽  
Coefficient Diagram Method ◽  
Fractional Order Controller ◽  
G Ratio

This paper aims to explore experimental studies on the NOx removal process by using pilot plant packed column experimental hardware. Physical modeling based on chemical absorption equations is used to estimate the diameter concerning the height and L/G ratio. Hydrogen peroxide is used as the additive for achieving high NOx removal efficiency. The absorbent entering into the packed column has been controlled by varying its flow rate through the fractional order controller. The FOCDM-PIλDµ controller tuning parameters such as KP, τI, τD are determined using CDM (Coefficient Diagram Method) PID control strategy and the additional parameters of FOCDM-PIλDµ controller such as λ and µ are determined based on the PSO algorithm. The comparative analysis is performed with classical controllers like ZN-PID along with the CDM-PID controllers.

Fractional Order Universal Adaptive Stabilizer for Fractional Order Systems

2009 ◽  
Author(s):  
Yan Li ◽  
YangQuan Chen
Keyword(s):  
Fractional Order ◽  
Order System ◽  
Adaptive Stabilization ◽  
Space System ◽  
Control Effort ◽  
Finite Control ◽  
State Space System ◽  
Adaptive Stabilizer ◽  
Fractional Controller ◽  
Order State

In this paper, the fractional order universal adaptive stabilization of fractional order SISO system is discussed. The fractional universal adaptive stabilizer is u(t) = −k(t)sgn{CB}y(t), where 0Dtβk(t) = ‖y(t)‖p, which guarantees the asymptotic stability of the equilibrium point of fractional order state space system with finite control effort. Moreover, the fractional order system with order α ∈ (0, 1/(1+p)) can be stabilized by the fractional controller but not for the integer order controller. Simulation results are provided as the proof of concepts.

A FRACTIONAL ORDER UNIVERSAL HIGH GAIN ADAPTIVE STABILIZER

2012 ◽  
Vol 22 (04) ◽  
pp. 1250081 ◽  
Author(s):  
YAN LI ◽  
YANGQUAN CHEN
Keyword(s):  
Fractional Order ◽  
Mimo Systems ◽  
Adaptive Strategy ◽  
High Gain ◽  
Control Effort ◽  
Single Output ◽  
Control Gain ◽  
Multiple Input ◽  
Finite Control ◽  
Adaptive Stabilizer

In this paper, a fractional order universal high gain adaptive stabilizer is proposed which guarantees the Lp stability of fractional order multiple–input and multiple–output (MIMO) systems with finite control effort. The boundedness of the control gain for the fractional order universal adaptive strategy is discussed for fractional order MIMO systems, and an upper bound of the control gain is presented for fractional order single-input and single-output (SISO) systems. Some advantages of the discussed fractional order universal adaptive stabilizer are demonstrated in numerical simulations, such as the overshoots of system outputs can be efficiently reduced by decreasing the fractional order of the universal adaptive stabilizer without significantly increasing the system gains.

Adaptive Consensus Tracking for Fractional-Order Linear Time Invariant Swarm Systems

2014 ◽  
Vol 9 (3) ◽  
Author(s):  
Mojtaba Naderi Soorki ◽  
Mohammad Saleh Tavazoei
Keyword(s):  
Fractional Order ◽  
Linear Time ◽  
Adaptive Controller ◽  
Order Linear ◽  
Linear Time Invariant ◽  
Consensus Tracking ◽  
Simulation Results ◽  
Interactive Dynamics ◽  
Time Invariant ◽  
Adaptive Stabilizer

This paper presents an adaptive controller to achieve consensus tracking for the fractional-order linear time invariant swarm systems in which the matrices describing the agent dynamics and the interactive dynamics between agents are unknown. This controller consists of two parts: an adaptive stabilizer and an adaptive tracker. The adaptive stabilizer guarantees the asymptotic swarm stability of the considered swarm system. Also, the adaptive tracker enforces the system agents to track a desired trajectory while achieving consensus. Numerical simulation results are presented to show the effectiveness of the proposed controller.

Experimental studies on realization of fractional inductors and fractional-order bandpass filters

2014 ◽  
Vol 43 (9) ◽  
pp. 1183-1196 ◽  
Author(s):  
Madhab Chandra Tripathy ◽  
Debasmita Mondal ◽  
Karabi Biswas ◽  
Siddhartha Sen
Keyword(s):  
Fractional Order ◽  
Experimental Studies ◽  
Bandpass Filters

Cascaded fractional order sliding mode control for trajectory control of a ball and plate system

2016 ◽  
Vol 40 (3) ◽  
pp. 701-711 ◽  
Author(s):  
Prasanta Roy ◽  
Arindam Das ◽  
Binoy Krishna Roy
Keyword(s):  
Fractional Order ◽  
Sliding Mode ◽  
Control Strategies ◽  
Experimental Studies ◽  
Open Loop ◽  
Trajectory Control ◽  
Sliding Mode Controller ◽  
Tracking Accuracy ◽  
Laboratory Setup ◽  
Plate System

This paper presents a comparative study between a sliding mode controller and a fractional order sliding mode controller applied to the problem of trajectory control of a ball in a ball and plate system. The ball and plate system is a well-known benchmark to test advanced control strategies because of its multivariable nonlinear coupled dynamics, open loop instability, parameter uncertainty, and under actuation. A cascaded sliding mode controller is initially designed to mitigate the problem. Furthermore, to improve the performance, a cascaded fractional order sliding mode controller is proposed. The proposed control strategies are experimentally validated on a ball and plate laboratory setup (Feedback Instruments Model No. 033-240). Simulation and experimental studies reveal that the fractional order sliding mode controller outperforms the sliding mode controller in terms of tracking accuracy, speed of response, chattering effect, and energy efficiency.

3-D reconstruction and analysis of mammalian mitotic spindle structure

1992 ◽  
Vol 50 (1) ◽  
pp. 578-579
Author(s):  
Kent McDonald ◽  
David Mastronarde ◽  
Rubai Ding ◽  
Eileen O'Toole ◽  
J. Richard McIntosh
Keyword(s):  
Cross Sections ◽  
Mitotic Spindle ◽  
Experimental Studies ◽  
Video Camera ◽  
Three Dimensions ◽  
Mitotic Spindles ◽  
Black And White ◽  
Reconstruction Methods ◽  
Spindle Structure ◽  
Tissue Culture Line

Mammalian spindles are generally large and may contain over a thousand microtubules (MTs). For this reason they are difficult to reconstruct in three dimensions and many researchers have chosen to study the smaller and simpler spindles of lower eukaryotes. Nevertheless, the mammalian spindle is used for many experimental studies and it would be useful to know its detailed structure.We have been using serial cross sections and computer reconstruction methods to analyze MT distributions in mitotic spindles of PtK cells, a mammalian tissue culture line. Images from EM negatives are digtized on a light box by a Dage MTI video camera containing a black and white Saticon tube. The signal is digitized by a Parallax 1280 graphics device in a MicroVax III computer. Microtubules are digitized at a magnification such that each is 10-12 pixels in diameter.

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