Modeling and control method for complex circuit system with small inductances or capacitances

Abstract

Disclosed is a modeling and control method for a complex circuit system with small inductances or capacitances (CCSWSIOCs) and the method belongs to the technical field of complex-circuit-system control. The method is based on an UDTFSPM (uncertain discrete time fuzzy singularly perturbed model) and combines methods of spectral norm and linear matrix inequalities to design an RFSOFC (robust fuzzy static output feedback controller) for controlled CCSWSIOCs so as to realize high-precision control of the CCSWSIOCs. According to a dynamical model of the CCSWSIOCs, an uncertain continuous-time fuzzy singularly perturbed model is established. An appropriate sampling period is selected and a zero-order holder method is employed to perform discretization on the continuous-time fuzzy singularly perturbed model so as to obtain the UDTFSPM of the CCSWSIOCs and thus the RFSOFC is designed on the basis. The advantages of the method are that problems of incapability of elimination of instability or large steady-state errors resulted from the internal minute inductances or capacitances of the CCSWSIOCs in the prior modeling and control methods are solved and control performance of the CCSWSIOCs is improved significantly. The modeling and control method for the complex circuit system with the small inductances or capacitances is applied to precision control of a Van der Pol circuit system to perform simulation verification and validity of the method is shown.

Description

technical field [0001] The invention belongs to the technical field of complex circuit system control, and provides an uncertain discrete-time fuzzy singular perturbation construction for complex circuit systems with small inductances or capacitances (Complex Circuit Systems with Small Inductances or Capacitances, abbreviated as CCSWSIOCs). Modular and robust control methods are suitable for high-precision control of complex circuit systems, and can also be used for modeling and high-precision control of other complex systems with small time constants in the system model. Background technique [0002] With the rapid development of science and technology, the structure of the electronic circuit system is becoming more and more complex, and the control accuracy requirements for the circuit system are also getting higher and higher. However, the perturbation, parameter uncertainty and The steady-state error of the system caused by external random disturbances makes the designed...

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Problems solved by technology

[0006] The purpose of the present invention is to provide a CCSWSIOCs high-precision robust control method based on the Uncertain Discrete time Fuzzy Singularly Perturbed Model (Uncertain Discrete time Fuzzy Singularly Perturbed Model, abbreviated as UDTFSPM), so as to solve the problem that the existing CCSWSIOCs control method cannot eliminate the tiny inductance Or the steady-state error problem caused by capacitance, external disturbance and system parameter uncertainty, greatly improving the overall control performance of CCSWSIOCs

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