Abstract:
Aiming at the stability problem of Lurie networked control systems with network-induced delay (NID), we proposes a low-conservatism design scheme to reduce the conservatism of stability conditions, improve the solution efficiency of the controller, and maximize the maximum allowable sampling interval of the system. Firstly, considering the time-varying characteristics of NID, a two-sided looped Lyapunov functional is constructed, which fully utilizes the relationships between different states in the functional to derive sufficient conditions for ensuring the absolute stability of the closed-loop system. To further reduce the conservatism of the results, a new parameterized construction method is proposed when introducing zero equalities. Secondly, targeting the nonlinear coupling terms existing in the stability conditions, an improved cone complementarity linearization (CCL) iterative algorithm is applied. By introducing new variables, the non-convex problem is converted into a problem solvable via linear matrix inequalities (LMIs), and the controller gain is determined by improving the iterative conditions. Finally, two classical numerical examples are carried out for comparative simulation verification. The results demonstrate that, compared with existing similar methods, the proposed scheme can obtain stability criteria with lower conservatism, significantly reduce the number of algorithm iterations, and effectively balance the accuracy of system stability analysis and the efficiency of controller solution.