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Neurodynamics-based robust pole assignment for synthesizing second-order control systems via output feedback based on a convex feasibility problem reformulation

机译:基于神经动力学的鲁棒极点分配,用于基于凸可行性问题重构的输出反馈合成二阶控制系统

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摘要

A neurodynamic optimization approach is proposed for robust pole assignment problem of second-order control systems via output feedback. With a suitable robustness measure serving as the objective function, the robust pole assignment problem is formulated as a quasi-convex optimization problem with linear constraints. Next, the problem further is reformulated as a convex feasibility problem. Two coupled recurrent neural networks are applied for solving the optimization problem with guaranteed optimality and exact pole assignment. Simulation results are included to substantiate the effectiveness of the proposed approach.
机译:提出了一种基于输出反馈的二阶控制系统鲁棒极点分配问题的神经动力学优化方法。通过使用合适的鲁棒性度量作为目标函数,将鲁棒极点分配问题公式化为具有线性约束的拟凸优化问题。接下来,将该问题重新表述为凸可行性问题。应用两个耦合的递归神经网络来解决具有保证的最优性和精确的极点分配的优化问题。仿真结果包括在内,以证实所提出方法的有效性。

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