Optimal Integrated Control and Off-line Scheduling of Resource-Constrained Systems
In this chapter, we motivate the use of the ℋ2 performance index as criterion allowing the optimal integrated control and off-line scheduling of resource-constrained systems. The ℋ2 norm of a periodically off-line scheduled resource-constrained system is explicitly defined. Based on this definition, a new method for solving this problem is proposed. This method relies on the decomposition of the optimal control and off-line scheduling problem into two independent subproblems. The first subproblem aims at finding of the optimal cyclic schedule and is solved by using the branch and bound method. The second sub-problem makes use of the result of the first sub-problem to determine the optimal control gains by applying the lifting technique. This method is evaluated through a numerical example. Furthermore, appropriate techniques allowing improving its efficiency are also proposed.
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