Inverse bifurcation control method based on fuzzy prediction
A control method and fuzzy prediction technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve difficult problems to meet the requirements of solving nonlinear problems, aggravate system nonlinearity, analyze and solve problems of nonlinear dynamics ask questions
Active Publication Date: 2019-11-12
NANJING INST OF TECH
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Problems solved by technology
The emergence of these phenomena makes it difficult for the traditional linearization method to meet the requirements of solving nonlinear problems, and it is difficult to find the analytical solution of nonlinear dynamic problems
Moreover, the control input saturation caused by hardware constraints such as actuators makes the control system enter the nonlinear region, which will also aggravate the nonlinearity of the system
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[0046] The present invention is described in further detail now in conjunction with accompanying drawing.
[0047] The present invention first provides a mathematical model description with a disturbance term, and for this mathematical model, proposes a minimum disturbance invariant set for constraining a stable limit cycle, and uses a multi-model fuzzy strategy for approximation for the nonlinear characteristics of the system, And design a predictive controller based on fuzzy model. attached figure 1 Describe the design idea of the control scheme.
[0048] from figure 1 It can be found that after the system is stably designed, its state trajectory will eventually converge to the limit cycle, and the limit cycle is in the disturbance invariant set, and the equilibrium point is included in the limit cycle. The disturbance invariant set can be explicitly expressed through the design of the control system. Since the limit cycle is difficult to obtain accurately, if you want ...
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The present invention discloses an inverse bifurcation control method based on fuzzy prediction. The method comprises the steps as follows: S1, obtaining a minimum disturbance invariant set [omega]m and corresponding control law gains corresponding to l fuzzy subsets through optimization calculation in an offline mode; S2, giving a set operating point (xop, uop), and initializing a calculation time k=0 and the correlation weight coefficients Q and R; S3, obtaining the current state x(k) at the time k through measurement or observer estimation and calculating the mean value of the x in the speciation by using the formula as shown in the specification; S4, determining whether the current mean value of x belongs to the minimum disturbance invariant set [omega]m obtained in an offline mode, ifso, calculating the control law, and if not, optimizing the calculation formula to obtain the control law gain F1(k), F2(k),...,Fl(k), and calculating the control low as shown in the specification; S5, making the control input of the operating point as uop and the control input of the system as shown in the specification; and S6, making k=k+1, and returning to the S3. According to the method provided by the present invention, the system state is adjusted to the convergence stable limit ring, so that the bifurcation problem of the nonlinear system is effectively solved.
Description
technical field [0001] The invention belongs to the technical field of thermal control, and in particular relates to an anti-bifurcation control method based on fuzzy prediction. Background technique [0002] Boiler-steam turbine generator sets will show strong nonlinear characteristics under different working conditions, and disturbances from various aspects during the operation process will aggravate the adverse effects of nonlinearity; at the same time, due to the limitations of hardware conditions such as actuators and the output For safety considerations, there are restrictions on output such as drum liquid level. All of these have brought great challenges to the efficient control of the furnace coordination system. [0003] From the perspective of nonlinear dynamics, changes in system parameters may cause bifurcation of the state trajectory (Bifurcation), and even unexpected chaotic phenomena. The so-called bifurcation means that the steady-state point of the nonlinea...
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Login to View More IPC IPC(8): G05B13/04G05B13/02
CPCG05B13/048G05B13/0275G05B13/042
Inventor 朱建忠贾云浪
Owner NANJING INST OF TECH