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首页> 外文会议>International Conference on Electrical, Control and Automation Engineering >Robust L_1 Model Reduction for Linear Parameter-Varying Systems with Parameter-Varying Delays
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Robust L_1 Model Reduction for Linear Parameter-Varying Systems with Parameter-Varying Delays

机译：具有参数变化延迟的线性参数变化系统的鲁棒L_1模型减少

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摘要

In this paper, we investigate the problem of robust Li model reduction for linear parameter-varying (LPV) systems with parameter-varying delays. It is essential that the design of reduced-order system guarantees LPV error system to be asymptotically stable and satisfy peak-to-peak performance constraint with respect to all bounded peak value input signals. By using parameter-dependent Lyapunov function (PDLF), the sufficient conditions for the existence of the peak-to-peak criterion are established for error system with time delays for the first time, which realize the decoupling between the system matrices and PDLF matrices by introducing a slack matrix and applying Projection lemma. Under the conditions, the reduced-order system can be obtained in terms of linear matrix inequality (LMI) technology. Based on the approximate basis function and the gridding technique, the design problem of reduced-order system is cast into convex optimization problem subject to parameter LMI constraints. Finally, the validity of the proposed design method is illustrated by a numerical example.
机译：在本文中，我们调查了具有参数变化延迟的线性参数变化（LPV）系统的鲁棒锂模型减少问题。对于所有有界峰值输入信号，指数减少系统的设计保证了LPV误差系统是渐近稳定的渐近稳定性和满足峰值对峰值性能约束。通过使用参数依赖的Lyapunov函数（PDLF），为第一次具有时间延迟的错误系统建立了存在峰值到峰值标准的充分条件，这是第一次延迟的误差系统，这在系统矩阵和PDLF矩阵之间实现了解耦引入松弛矩阵并施加投影引理。在条件下，可以在线性矩阵不等式（LMI）技术方面获得降低阶系统。基于近似基本函数和网格技术，减少阶系统的设计问题被铸造成凸面优化问题，受限于参数LMI约束。最后，通过数值示例说明了所提出的设计方法的有效性。

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