Supervisory control of a class of discrete event processes
SIAM Journal on Control and Optimization
Optimal Supervisory Control of Discrete Event DynamicalSystems
SIAM Journal on Control and Optimization
An Optimal Control Theory for Discrete Event Systems
SIAM Journal on Control and Optimization
Robust optimal control of regular languages
Automatica (Journal of IFAC)
Hi-index | 22.15 |
This paper formulates an unconstrained optimal policy for control of regular languages realized as deterministic finite state automata (DFSA). A signed real measure quantifies the behavior of controlled sublanguages based on a state transition cost matrix and a characteristic vector as reported in an earlier publication. The state-based optimal control policy is obtained by selectively disabling controllable events to maximize the measure of the controlled plant language without any further constraints. Synthesis of the optimal control policy requires at most n iterations, where n is the number of states of the DFSA model. Each iteration solves a set of n simultaneous linear algebraic equations. As such, computational complexity of the control synthesis is polynomial in n.