Studies on Robust Stable Bounds of Control Systems Via Parametric Solution to the LQ Inverse Problem
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摘要: 研究了具有非线性扰动控制系统鲁棒稳定界的定义、优化等问题,而且分析了鲁棒控 制稳定界与Riccati矩阵方程解的关系,给出了基于LQ最优控制逆问题参数化解的极大化鲁棒 控制稳定界的优化算法.通过对上述问题的研究,使得约束条件下鲁棒控制系统稳定界与IQ 最优控制逆问题的解法相联系.
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关键词:
- 鲁棒稳定界 /
- Riccati矩阵方程 /
- 优化 /
- LQ逆问题
Abstract: The definitions and optimization problem of robust stable bounds, as well as the relations between robust stable bounds and the solution of Riccati matrix equation, are studied for a class of systems with nonlinear disturbance. Related optimization algorithms are presented for maximizing the robust stable bounds based on the parametric solution to the LQ inverse problem. By the results provided here, the robust stable bounds of control systems with constraints are related to the solution of LQ inverse problem.-
Key words:
- Robust stable bounds /
- Riccati matrix equation /
- optimization /
- LQ inverse problem
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