Fractional order control

Fractional order control

Fractional order control or ("FOC") is a field of control theory that uses the fractional order integrator as part of the control system design toolkit.

The fundamental advantage of FOC is that the fractional order integrator weights history using a function that decays with a power-law tail. The effect is that the effects of all time are computed for each iteration of the control algorithm. This creates a 'distribution of time constants,' the upshot of which is there is no particular time constant, or resonance frequency, of the system.

Fractional order control shows promise in many controlled environments that suffer from the classical problems of overshoot and resonance, as well as time diffuse applications such as thermal dissipation and chemical mixing.

ee also

*Differintegral
*Fractional calculus


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать курсовую

Look at other dictionaries:

  • Fractional order integrator — A fractional order integrator or just simply fractional integrator is an integrator device that calculates the fractional order integral or derivative (usually called a differintegral) of an input. Differentiation or integration is a real or… …   Wikipedia

  • Control theory — For control theory in psychology and sociology, see control theory (sociology) and Perceptual Control Theory. The concept of the feedback loop to control the dynamic behavior of the system: this is negative feedback, because the sensed value is… …   Wikipedia

  • Fractional calculus — is a branch of mathematical analysis that studies the possibility of taking real number powers of the differential operator ::D = frac{d}{dx} , and the integration operator J . (Usually J is used in favor of I to avoid confusion with other I like …   Wikipedia

  • Fractional-reserve banking — is the banking practice in which banks keep only a fraction of the value of their bank notes and demand deposits in reserve and invest the balance in interest earning assets while maintaining the obligation to redeem all bank notes and demand… …   Wikipedia

  • Fractional Jets — is a common term for fractional aircraft ownership. The first such program was launched in 1986 by NetJets, which continues to dominate the industry. Other providers include business jet operators CitationShares, Flexjet,… …   Wikipedia

  • Robust control — is a branch of control theory that explicitly deals with uncertainty in its approach to controller design. Controllers designed using robust control methods tend to be able to cope with small differences between the true system and the nominal… …   Wikipedia

  • Fractional reserve banking — Banking A series on Financial services …   Wikipedia

  • List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… …   Wikipedia

  • PID controller — A block diagram of a PID controller A proportional–integral–derivative controller (PID controller) is a generic control loop feedback mechanism (controller) widely used in industrial control systems – a PID is the most commonly used feedback… …   Wikipedia

  • Coopmans Approximation — The Coopmans Approximation is a method for approximating a fractional order integrator in a continuous process with constant space complexity. The most correct and accurate methods for calculating the fractional integral require a record of all… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”