论文部分内容阅读
针对一类具有非线性控制输入的参数不确定时滞系统和给定的保性能指标,研究了此类系统的保性能控制问题。利用Lyapunov稳定性定理和线性矩阵不等式工具,得到了非线性不确定时滞系统的保性能控制存在的充分条件。与现有结果相比,考虑的保性能控制器是非线性的,并且保性能控制器可由线性矩阵不等式的解给出。得到的保性能控制器不仅保证闭环系统的局部渐近稳定性而且能够使得系统满足一定的性能指标。进一步,建立一个具有线性矩阵不等式约束的凸优化问题,从而可以借助Matlab软件中的线性矩阵不等式工具箱求解,基于相应的线性矩阵不等式的可行解,给出非线性不确定时滞系统的保性能控制律的构造方法。最后的仿真实例表明了其可行性。
For a class of uncertain parameterized time-delay systems with nonlinear control inputs and guaranteed guaranteed performance index, the guaranteed cost control of such systems is studied. By using the Lyapunov stability theorem and the linear matrix inequality tool, sufficient conditions for guaranteed cost control of nonlinear uncertain systems with time-delay are obtained. Compared with the existing results, the guaranteed cost controller considered is nonlinear, and the guaranteed cost controller can be given by the solution of linear matrix inequality. The obtained guaranteed cost controller not only ensures the local asymptotic stability of the closed-loop system but also enables the system to meet certain performance requirements. Further, a convex optimization problem with linear matrix inequality constraints is established, which can be solved by the linear matrix inequality toolbox in Matlab software. Based on the feasible solutions of the corresponding linear matrix inequalities, the guaranteed properties of nonlinear uncertain systems with time-delay Construction method of control law. The final simulation shows its feasibility.