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针对一类具有不确定时延和有限能量外部扰动的网络控制系统,采用Lyapunov和线性矩阵不等式方法,研究了基于输出反馈的鲁棒H_∞保性能网络控制问题。构造一个新的Lyapunov泛函,推导出使得闭环网络控制系统鲁棒稳定,且具有给定H_∞扰动衰减度γ的输出反馈保性能控制器存在的充分条件;通过求解具有约束条件的凸优化问题,给出闭环网络控制系统最优H_∞保性能控制器的设计方法,该方法能在给定扰动衰减度γ的情况下有更小的保性能指标。最后通过YALMIP(一种定义和求解高级优化问题的模化语言)求解数值算例验证了所提出方法的正确性和有效性。
For a class of networked control systems with uncertainties and external disturbances of finite energy, a robust H ∞-guaranteed network control problem based on output feedback is studied by using Lyapunov and linear matrix inequalities. A new Lyapunov functional is constructed and the sufficient conditions for the existence of output feedback guaranteed cost controller that makes the closed-loop network control system robust and stable with a given H_∞ disturbance attenuation degree γ are derived. By solving the convex optimization problem with constraints , The design method of the optimal H_∞ guaranteed cost controller of the closed-loop network control system is given. This method can achieve a smaller guaranteed performance index given the disturbance attenuation γ. Finally, the numerical example of YALMIP (a modular language for defining and solving high-level optimization problems) verifies the correctness and validity of the proposed method.