Design of Improved Static Output Feedback Aperiodic Sampled-Data Controller for Networked Control Active Suspension Systems
Guoliang Chen, Mengkai Zhu, Xiangpeng Xie, Jian Wu, Jianwei Xia
Abstract
In this article, the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H_{\infty }$</tex-math></inline-formula> control problem of the active suspension system with aperiodic sampled-data and time-varying delays is studied under the framework of integral quadratic constraints. Initially, by constructing an operator, the active suspension system is transformed into a feedback interconnected structure to deal with the uncertainties resulting from aperiodic sampled-data and time-varying delays. Next, a more specific method for estimating the operator's norm upper bound is proposed, and the system stability conditions are obtained by constructing a multiplier to ensure that the operator's definition satisfies the integral quadratic constraints. Then, a novel controller gain iterative algorithm is given to deal with the computational difficulty caused by the nonlinear coupling terms. Finally, the impact of the exponential decay rate on the suspension performance is illustrated by several simulation examples; moreover, the actual suspension device is used to check on the feasibility of the designed controller.