Modeling of systems with a closed loop of material resources circulation

Abstract The work is devoted to the problem of artificial realization of the unique property of living systems to self-recovery due to the existence in them of mechanisms of accumulation and closed circulation of material resources. The problem of developing a mathematical model that reproduces the processes of functioning of such systems is being solved. A functional diagram of these processes is built, in which the stages of active use of resources, their recovery and subsequent accumulation as a reserve are highlighted. The formal description of the system is made in the class of stochastic models with continuous time – in the form of a Markov process with a discrete set of states. Analytical expressions for the final probabilities of each of its states were found on the basis of the hypothesis of the Poisson character of event streams in the system. As an assessment of the system’s ability to self-recovery, the probability of its functioning with the maximum amount of resources capable of being processed by the system was calculated. Using a numerical example, a quantitative study of the dependence of this estimate on the main variable parameters of the closed-loop system was carried out: the number of recovery channels, the intensity of these channels, and the amount of resources accumulated in the reserve. The presence of an accumulated stock of resources in the system allows ensuring high indicators of its efficiency with a significant decrease in the requirements for the total intensity of resource recovery.

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Comparative Assessment on Linearity Test based V2π and Vπ/2 Voltage Variations of Closed Loop IFOG

International Journal of Electrical and Computer Engineering (IJECE) ◽

10.11591/ijece.v6i2.8809 ◽

2016 ◽

Vol 6 (2) ◽

pp. 583

Author(s):

T. Sireesha ◽

K. Krishna Murthy

Keyword(s):

Closed Loop ◽

Signal Frequency ◽

Percentage Error ◽

Fiber Optic Gyroscope ◽

Closed Loop System ◽

Ramp Voltage ◽

Grade Performance ◽

Linearity Test ◽

Ramp Signal ◽

Made In

Interferometric Fiber Optic Gyroscope (IFOG) has to operate in closed loop condition to achieve inertial grade performance. The closed loop system is mainly depends upon the amplitude of the ramp signal (V2π of IOC) and bias (square wave) signal frequency (f<sub>bias</sub>). The digital phase ramp function is given as feedback to the optical system and makes gyro to null condition. The peak-to-peak amplitude (Vπ/2) of biasing signal is one-fourth of the ramp amplitude (V2π). If there are any variations in the amplitude of the ramp and biasing signals, then it introduces variations in the gyro performance. In this paper, a comparative discussion made in the gyro parameters for three cases: (i) V2π (vary) & Vπ/2 (constant), (ii) Vπ/2 (vary) & V2π (constant) and (iii) both V2π and Vπ/2 are varying simultaneously. The effects on gyroscope are described with the derived values in terms of linearity. From the experimental results, it was observed that the gyro output is very sensitive with respect to V2π variations and obtained the percentage error of 10% in gyro output, but very less effect due to Vπ/2 variations. So, the proper resetting of ramp voltage (V2π) is required to avoid nonlinearities and instabilities in gyro output.

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D-decomposition technique for stabilization of Furuta pendulum: fractional approach

Bulletin of the Polish Academy of Sciences Technical Sciences ◽

10.1515/bpasts-2016-0021 ◽

2016 ◽

Vol 64 (1) ◽

pp. 189-196 ◽

Cited By ~ 3

Author(s):

P.D. Mandić ◽

M.P. Lazarević ◽

T.B. Šekara

Keyword(s):

Fractional Order ◽

Closed Loop ◽

Inverted Pendulum ◽

Parameter Dependence ◽

Pd Controller ◽

Closed Loop System ◽

Decomposition Approach ◽

Stability Regions ◽

The Stability ◽

Made In

Abstract In this paper, the stability problem of Furuta pendulum controlled by the fractional order PD controller is presented. A mathematical model of rotational inverted pendulum is derived and the fractional order PD controller is introduced in order to stabilize the same. The problem of asymptotic stability of a closed loop system is solved using the D-decomposition approach. On the basis of this method, analytical forms expressing the boundaries of stability regions in the parameters space have been determined. The D-decomposition method is investigated for linear fractional order systems and for the case of linear parameter dependence. In addition, some results for the case of nonlinear parameter dependence are presented. An example is given and tests are made in order to confirm that stability domains have been well calculated. When the stability regions have been determined, tuning of the fractional order PD controller can be carried out.

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