一类非线性系统的自适应模糊控制

针对一类具有未知常数控制增益的非线性系统，基于滑模型控制原理并利用Ⅰ型模糊系统的逼近能力，提出了一种自适应模糊控制器设计的新方案，该方案通过引入最优逼近误差自误应补偿项来消除建模误差的影响，从而在稳定性分析中取消了要求逼近误差平方可积或逼近误差的上确界已知的条件，通过理论分析，证明了闭环控制系统是全局稳定的，跟踪误差收敛到零。仿真结果表明了该方法的有效性。

Adaptive Fuzzy Control for a Class of Nonlinear Systems

A new scheme of an adaptive fuzzy controller for a class of nonlinear systems with unknown constant control gain is proposed. The design is based on the principle of sliding mode control and the approximation capability of the first type fuzzy systems. The adaptive compensation term for the optimal approximation error is adopted in the scheme. The approach does not require the optimal approximation error being square-integrable or the supremum of the optimal approximation error being known. By th-eoretical analysis, a closed-loop control system is shown to be globally stable, with tracking error converging to zero. Simulational results demonstrate the effectiveness of the approach.