This paper deals with the stabilizability problem of liner parameter varying (LPV) systems. It is assumed that LPV models affinely depend on time-varying uncertain and time-invariant design parameters. The uncertain parameters, their time-derivations, and design parameters belong to polygonal convex spaces. The stabilizability problem of such systems is studied. Extending the stability conditions to stabilizability conditions generally causes nonlinearity issues due to the coupling between the Lyapunov and design variables. To cope with this issue, a design space exploration algorithm (DSEA) is proposed to accurately determine the design parameters with a feasibility performance similar to stability analysis approaches. DSEA removes the undesired parts of the design subspace that cannot stabilize the model. Then, it checks the corner points of the remaining subspaces to find a stabilizing point. This procedure continues until a stabilizing point is found or the whole design subspaces are detected to be undesirable. Three hundred random LPV systems are generated to compare the feasibility performance of DSEA with existing approaches. Also, the proposed approach is used to stabilize the LPV model of a microgrid consisting of several distributed generation units and energy storage systems. The simulation results show the superiority of DSEA over the existing approaches.

本文研究了线性可变参数（LPV）系统的稳定性问题。假设LPV模型仿佛依赖于时变的不确定和时不变的设计参数。不确定参数，它们的时间导数和设计参数属于多边形凸空间。研究了此类系统的稳定性问题。由于Lyapunov和设计变量之间的耦合，将稳定性条件扩展到可稳定性条件通常会导致非线性问题。为了解决这个问题，提出了一种设计空间探索算法（DSEA），以具有类似于稳定性分析方法的可行性，可以准确地确定设计参数。DSEA删除了无法使模型稳定的设计子空间中不需要的部分。然后，它检查其余子空间的拐角点以找到稳定点。该过程一直进行到找到稳定点或检测到整个设计子空间都不理想为止。生成了300个随机LPV系统，以比较DSEA与现有方法的可行性。而且，所提出的方法用于稳定由多个分布式发电单元和能量存储系统组成的微电网的LPV模型。仿真结果表明，DSEA优于现有方法。而且，所提出的方法用于稳定由多个分布式发电单元和能量存储系统组成的微电网的LPV模型。仿真结果表明，DSEA优于现有方法。而且，所提出的方法用于稳定由多个分布式发电单元和能量存储系统组成的微电网的LPV模型。仿真结果表明，DSEA优于现有方法。