Nonlinear random model prediction control method based on multi-step state feedback

A model predictive control, nonlinear stochastic technology, applied in adaptive control, general control system, control/regulation system, etc., can solve the problem of probability invariant set, low degree of freedom, etc.

Inactive Publication Date: 2020-09-22
NORTH CHINA ELECTRIC POWER UNIV (BAODING)
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Problems solved by technology

[0004] Aiming at the problems existing in the prior art, the present invention provides a nonlinear stochastic model predictive control method based on multi-step state feedback to solve the problem of low degrees of freedom in the calculation of probability invariant sets

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  • Nonlinear random model prediction control method based on multi-step state feedback
  • Nonlinear random model prediction control method based on multi-step state feedback
  • Nonlinear random model prediction control method based on multi-step state feedback

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Embodiment Construction

[0088] Preferred embodiments of the present invention are described below with reference to the accompanying drawings. Those skilled in the art should understand that these embodiments are only used to explain the technical principle of the present invention, and are not intended to limit the protection scope of the present invention.

[0089] refer to figure 1 As shown, it is a stochastic model predictive control method based on multi-step state feedback provided by an embodiment of the present invention, which includes the following steps:

[0090] Step 1. For the nonlinear discrete random system, use statistical knowledge to analyze the random process and establish a corresponding model;

[0091] Step 2. Design control objectives that guarantee economy, tracking and stability, introduce probability constraints and hard constraints, and propose a stochastic infinite time-domain optimal control problem for the system;

[0092] In step 3, a nominal discrete linear stochastic...

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Abstract

The invention relates to a nonlinear random model prediction control method based on multi-step state feedback. The method comprises the steps of studying nonlinear system characteristics with randominterference; establishing a system random interference model by using a statistical method; establishing a nonlinear discrete system random model with probability constraints, proposing a random optimization control problem for the model by combining a design method of a control target in traditional predictive control, and then solving a bounded model mismatch problem between the nonlinear modeland a linear nominal model by applying a robust tube invariant set thought. By designing a multi-step state feedback control law, optimizing statistical performance indexes in an infinite time domain, constructing a multi-step probability Tube invariant set with higher degree of freedom and ensuring probability constraint recursion, the future random state of the system is controlled, and the problems of traceability, economy and stability of the random system under random interference are effectively solved.

Description

technical field [0001] The invention relates to a nonlinear system and is not limited to the field of chemical industry, in particular to a nonlinear stochastic model predictive control method based on multi-step state feedback. Background technique [0002] With the development of control technology and the improvement of control requirements in industrial processes and aviation fields, the requirements for models are gradually increasing. The more common systems in the actual process have strong nonlinear characteristics, even random uncertainties. Weak robustness, poor stability, and low conservatism have become the difficulties in the control process of this type of system. Therefore, with the nonlinearity of the system, the randomness becomes more and more prominent, and the performance of the controller will be seriously affected if the unmodeled dynamics are neglected due to the simplification of the process when establishing the model. [0003] Traditional model pr...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 孔小兵冯乐刘向杰
Owner NORTH CHINA ELECTRIC POWER UNIV (BAODING)
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