Controller Design for Polynomial Systems with Input Constraints
Controller Design for Polynomial Systems with Input Constraints
复制标题
具有输入约束的多项式系统的控制器设计
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
J. Adamy
中科院分区：
文献类型：
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作者：
Thomas Gussner;J. Adamy
针对具有输入约束的多项式系统，提出了一种新的基于优化的镇定设计方法。该方法利用多项式的平方和分解，得到满足输入幅值约束的非多项式控制律。通过扩展优化问题，可以考虑投入率约束。由此产生的平方和优化问题是双线性的。因此，使用迭代算法来获得解。通过一个实例系统验证了该方法的适用性，结果表明，所设计的控制器很好地利用了给定的幅度范围，并且比多项式控制器具有更好的控制性能。
In this paper, a new optimization based design method for stabilization of polynomial systems with input constraints is presented. The method utilizes the sum of squares decomposition of polynomials and results in a nonpolynomial control law fulfilling amplitude constraints of the input. Consideration of input rate constraints can be included by extending the optimization problem. The resulting sum of squares optimization problems are bilinear. Thus, an iterative algorithm is used to obtain a solution. The applicability of the method is demonstrated by an example system, for which it turns out that the resulting controller exploits the given amplitude range very well and leads to better control performance than a polynomial controller.