This study is concerned with H∞ control of networked control systems with long delay and packet disordering. A new mathematical model of networked control systems, fully describing the phenomenon of packet disordering and effectively eliminating the impact of packet disordering on the performance of the systems, is proposed. Different from the existing methods, this model is converted into a parameter-uncertain discrete-time system with multi-step delay based on matrix theory. Furthermore, an improved Lyapunov–Krasovskii functional is proposed to derive less conservative H∞ stabilisation criteria. By solving a minimisation problem based on linear matrix inequalities, an H∞ controller is obtained. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.
Inspec keywords: minimisation; uncertain systems; discrete time systems; linear matrix inequalities; stability; distributed parameter systems; Lyapunov methods; H∞ control; delays
Other keywords:
Subjects: Linear algebra (numerical analysis); Discrete control systems; Distributed parameter control systems; Optimal control; Stability in control theory; Optimisation techniques
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