One-step receding horizon H∞ control for networked control systems with random delay and packet disordering

The receding horizon H∞ control (RHHC) problem is investigated in this paper for a class of networked control systems (NCSs) with random delay and packet disordering. A new model is proposed to describe the NCS with random delay which may be larger than one sampling period. The random delay is modeled as a Markov chain while the closed-loop system is described as a Markovian jump system. Sufficient conditions for the closed-loop NCS to be stochastically stable and the performance index to be upper bounded are derived by using the receding optimization principle. Furthermore, by solving a semi-definite programming (SDP) with linear matrix inequalities (LMIs) constraint, a piecewise-constant receding horizon H∞ controller is obtained, and the designed piecewise-constant controller ensures that the closed-loop NCS achieves a prescribed H∞ disturbance attenuation level. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method.