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首页> 外文期刊>International Journal of Adaptive Control and Signal Processing >Adaptive state feedback actuator rionlinearity compensation for multivariable systems
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Adaptive state feedback actuator rionlinearity compensation for multivariable systems

机译：多变量系统的自适应状态反馈执行器线性补偿

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摘要

This paper addresses the problem of adaptive compensation of actuator nonlinearities with unknown parameters, for state feedback control of unknown multi-input multi-output (multivariable) linear time-invariant dynamic systems. A new controller parametrization is derived to deal with bilinear parameters that resulted from the two sets of the actuator nonlinearity parameters and the dynamic system parameters. To overcome the difficulty caused by a nondiagonal high-frequency gain matrix and a special actuator nonlinearity parameter structure, the new controller structure is parametrized on the basis of the high-frequency gain matrix LDU or SDU decomposition, leading to a linear parametrization coordinating the actuator non-linearity parameters. The developed control scheme is a model reference adaptive control based design, employing an adaptive state feedback control law combined with an adaptive inverse, to deal with uncertain parameters in the system dynamics and actuator nonlinearities. To ensure the robustness with respect to actuator nonlinearity parametrization errors and the nonsingularity of the adaptive inverse, the parameter estimates are updated with an adaptive law using a combined switching-σ and parameter projection modification. An application is studied for adaptive aircraft flight control with synthetic jet actuators, which have nonlinear characteristics to be compensated. Simulation results show the desired adaptive control system performance.
机译：本文针对未知多输入多输出（多变量）线性时不变动态系统的状态反馈控制，解决了参数未知的执行器非线性自适应补偿问题。推导了一种新的控制器参数化，以处理由两组执行器非线性参数和动态系统参数产生的双线性参数。为了克服非对角高频增益矩阵和特殊的执行器非线性参数结构所带来的困难，在高频增益矩阵LDU或SDU分解的基础上对新的控制器结构进行了参数化，从而实现了对执行器进行线性参数化非线性参数。所开发的控制方案是基于模型参考自适应控制的设计，采用自适应状态反馈控制律与自适应逆函数相结合，以处理系统动力学和执行器非线性中的不确定参数。为了确保针对执行器非线性参数化误差的鲁棒性和自适应逆的非奇异性，使用组合开关σ和参数投影修改的自适应定律更新参数估计。研究了具有合成喷射执行器的自适应飞机飞行控制的应用，该合成执行器具有要补偿的非线性特性。仿真结果表明所需的自适应控制系统性能。

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