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文中针对一类连续时间非线性时变系统的采样自适应控制问题,给出了一种离散化建模方法,推导得到了相应的离散化模型的系数表达式及变化规律,在此基础上设计了基于该离散化模型的全系数自适应控制方法并给出了保证闭环系统有界稳定的充分条件.数学仿真结果表明文中提出的自适应控制方法可以取得满意的控制性能.最后,对一类高阶非线性时变系统采用低阶全系数自适应控制方法的可行性和条件进行了初步的探讨.
Aiming at the problem of sampling adaptive control for a class of continuous-time nonlinear time-varying systems, a discrete modeling method is presented. The coefficient expressions and variation rules of the discretized models are deduced. Based on this, The full-coefficient adaptive control method based on the discretization model is given and sufficient conditions for the bounded stability of the closed-loop system are given. The results of the mathematical simulation show that the proposed adaptive control method can achieve satisfactory control performance.Finally, The feasibility and condition of high-order nonlinear time-varying system using low-order full-coefficient adaptive control method are discussed.