不确定高阶随机非线性系统的自适应输出反馈控制研究

The stabilization of stochastic nonlinear systems currently is an attractive research direction of the control theory. In general, the constraints on the systems are weaker, the corresponding stabilization problem is more difficult or even unable to solve,but the problem considered became be more valuable in science for the system model now be more genenal and more accord with the practical engineering. In this project, we intend to study the adaptive output-feedback stabilization problem for the more general uncertain high-order stochastic nonlinear systems with the weaker constraints. In details, we aim at weakening the restrictions on the nonlinearities growth conditions and the the control coefficients by supposing there are more and serious unknowns both in those two terms，then under this supposition, we focus on constructing an adaptive output-feedback controller by combining the method of adding a power integrator, the adaptive high-gain observer and other design methods, so as to make the closed-loop system be globally asymptotically stable in probability. Though the sdudying of the scientific problems provided in this probject, we will develop a new and more applicable adaptive output-feedback control design scheme for stochastic nonlinear system, and enrich the nonlinear control theory.

随机非线性系统稳定控制设计是当前控制理论研究的一个热点。一般而言，系统约束条件越弱，相应镇定问题也就越难、甚至于无法解决，但问题的科学价值却越大，因为此时系统模型更具有一般性，更符合实际工程需要。本项目拟在更弱的条件下，研究更一般不确定高阶随机非线性系统的自适应输出反馈镇定问题。具体而言，拟弱化已有文献中对非线性增长条件和控制系数的约束，在二者都具有更多、更严重未知性的情况下，结合增加幂积分法和自适应高增益观测器等设计方法，构造自适应输出反馈控制器，使得闭环系统以概率全局渐近稳定。通过对本项目科学问题的研究，将发展新的、适用性更广的随机非线性系统自适应输出控制设计策略，丰富非线性控制设计理论。

随机非线性系统稳定控制设计是当前控制理论研究的一个热点。本项目围绕高阶随机非线性系统的自适应镇定展开研究，探究系统结构、非线性和不确定性对系统镇定的影响程度。主要讨论了具有双控制输入通道的高阶非线性系统、具有未知逆动态的随机高阶非线性系统以及具有未知控制方向的随机高阶非线性系统的自适应镇定问题，所得理论成果一定程度上弱化了已有非线性控制理论结果在系统模型形式、非线性约束条件和系统未知性强度等方面的局限性。此外，所提出控制设计策略在调节参数的数量、控制器增益的幅度等方面都有不错的改善，避免了已有设计方法中的过参数化等问题。 由于系统模型更具有一般性，故所得理论结果更符合实际工程需要，并进一步丰富了非线性控制理论和方法。