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控制理论与应用 2009
Optimal control and scheduling of system with resource constraints
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Abstract:
By employing the notion of communication sequence and mixed-logical-dynamical (MLD) framework, a networked control system subject to communication constraints is modeled as a resource-constrained system under integrated control and scheduling. Linear matrix inequalities (LMIs) are used to depict the periodical communication sequence of the discrete-time linear periodic system, and the co-design criteria of the H-infinity controller. A recursively increasing optimal sequence algorithm, in conjunction with the convex optimization of the LMIs, is employed to find the optimal solutions for the scheduling strategy, and the control law for the H-infinity controller of asymptotical stability and r-exponential stability, respectively. The computational cost is greatly reduced.