Optimal parametric discrete event control: Problem and solution
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
We present a novel optimization problem for discrete event control, similar in spirit to the optimal parametric control problem common in statistical process control. In our problem, we assume a known finite state machine plant model G defined over an event alphabet Sigma so that the plant model language L = L M (G) is prefix closed. We further assume the existence of a base control structure M K , which may be either a finite state machine or a deterministic pushdown machine. If K = L M (M K ), we assume K is prefix closed and that K C L. We associate each controllable transition of M K with a binary variable X 1 ,..., X n middot indicating whether the transition is enabled or not. This leads to a function M K (X 1 , ,...,- , X n ), that returns a new control specification depending upon the values of X 1 ,..., X n middot We exhibit a branch-and-bound algorithm to solve the optimization problem minx 1 x,...x n &maxwwepsiK C(w) such that M K (X 1 ,...,X n ) \= |= and L M (M K (X 1 ,...,- , X n middot)) epsi C(L). Here . is a set of logical assertions on the structure of M K (X 1 , X 1 ,...,- , X n middot), and M K (X 1 ,...,- , X n middot) \= || indicates that M K (X 1 ,...,- , X n ) satisfies the logical assertions; and, C(L) is the set of controllable sublanguages of L 1 .
- Research Organization:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC05-00OR22725
- OSTI ID:
- 939934
- Country of Publication:
- United States
- Language:
- English
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