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Research On Fractional-Order Model Reference Adaptive Control Systems And Its Application To Heave Soda Steam Calcinations Process

Posted on:2009-09-19Degree:MasterType:Thesis
Country:ChinaCandidate:Z L BaiFull Text:PDF
GTID:2178360272960795Subject:Detection Technology and Automation
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The fractional-order control systems are the systems which dynamical properties are better described by fractional-order differential equations. The main topics in control field are to expand the existing control theory based on integer-order differential equations into fractional-order differential equations. Important research issues include fractional-order system identification, controller design, analysis and synthesis of fractional-order control systems, etc. Now, the work is still giving its first step and, consequently, many aspects remain to be investigated. This thesis is to study the fractional-order control systems. This thesis mainly concerns the analysis and synthesis of the fractional-order control systems. The fractional-order control is applied to the control system of heave soda steam calciner and it is a helpful attempt. The fractional- order control for the temperature of system of heave soda steam calciner are investigated via simulation.In this thesis, the Lyapunov second method is extended based on the fractional calculus theory after the different definitions and their properties of fractional calculus are introduced. The condition that the Lyapunov function I order partial derivative int is negative is extended to that the k ( 0< k≤1) order partial derivative in 1 is negative. Then a general Lyapunov theorem is obtained. The Lyapunov stability of fractional system is defined, and the obtained theorem is extended to the fractional order dynamic system, and then a general Lyapunov theorem of fractional order dynamic system is obtained.Using the general Lyapunov theorem, a new kind of stable fractional adaptive law is obtained which has the better dynamic characters such as less regulating time and less overshoot. Then the traditional adaptive control law is extended. The similar temperature model is set up through the calcinations process of the main factors affecting the re-establishment of the heave soda steam calciner. Fractional-order model reference adaptive control system is applied to the temperature control of heave soda steam calcinations process for first time and the simulation results are given.
Keywords/Search Tags:Fractional calculus, fractional-order control system, adaptive control, Lyapunov, Calciner
PDF Full Text Request
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