基于混沌粒子群优化的时变解耦模糊滑模控制

Decoupled sliding-mode controller with time-varying sliding surfaces using PSO algorithm

为确认单输入解耦模糊滑模算法是否具有稳定性,通过构造合适的Lyapunov函数,对该种算法进行稳定性分析,证明该算法具有渐近稳定性;为准确而快速的得到最佳控制增益,在基本粒子群算法的基础上,提出了用混沌粒子群算法选取其最佳控制增益,仿真研究表明:混沌粒子群算法较基本粒子群算法的收敛速度和优化效果都得到了提高.

Firstly, in order to know whether the single input fuzzy sliding mode decoupling algorithm is stable, we analyze stability of the algorithms, the mathematical proof shows that the algorithm has asymptotic stability by constructing a suitable Lyapunov function. Then, in order to obtain accurately and fast the optimal control gain, based on elementary particle swarm algorithm we proposed the chaos particle swarm algorithm to select the optimum control gain, the simulation results show chaotic particle swarm optimization algorithm is faster and effective than particle swarm optimization algorithm.