时滞LPV系统的H∞控制新方法

Advanced H-infinity control approach for time-delayed LPV systems

中文关键词  线性参数变化系统  H_∞性能  线性矩阵不等式  状态时滞

英文关键词  linear parameter-varying system  H-infinity performance  linear matrix inequality  state delay

中文摘要

      研究了具有随参数变化状态时滞的线性参数变化系统的H_∞控制问题,该系统的状态空间矩阵和时滞是实时可测且在闭集内变化的参数的确定函数.提出了一种新的依赖于参数的H_∞性能准则,该准则通过引入附加矩阵解除了系统矩阵与依赖于参数的Lyapunov函数之间的耦合而更易于数值实现.在此基础上设计了系统的H_∞状态反馈控制器,该控制器能够保证相对于所有能量有界的输入信号闭环系统满足给定的性能指标.采用线性矩阵不等式技术,将控制器存在的充分条件转化为凸优化问题.最后用数值仿真验证了所提出算法的可行性.

英文摘要

      The problem of H-infinity control for linear parameter-varying(LPV) systems with a parameter-varying state delay is investigated.The state-space matrices and the time delay of the systems are assumed to be dependent on parameters that are measurable in real-time and vary in a compact set.A new parameter-dependent H-infinity performance criterion is achieved by the introduction of a slack variable that eliminates the coupling between Lyapunov functions and system matrices,which enables us to obtain a more easily tractable condition.Under the new condition,the H-infinity state feedback controllers are designed to guarantee the desired performance for the closed-loop system with respect to all energy-bounded input signals.Sufficient conditions for the existence of such controllers are established in terms of linear matrix inequalities,upon which the design of admissible controllers is cast into a convex optimization problem.Numerical example is provided to demonstrate the feasibility of the proposed condition and controllers design procedure.