LMIs in Control/Applications/LMIforPiecewiseLinearHinfControllerSynthesisInIncentoryControl

This problem dealt with the inventory control problem for a deterministic production system with given deterministic demand rate plus an unknown fluctuating demand rate with finite energy whose bound is known. The System Given a state-space representation of a system and an initial estimate of reduced order model . Where . The Data The full order state matrices . The Optimization Problem This problem has been modeled as a control problem of a switched (PWA) system and it has been solved using new results on piecewise-linear control theory. The LMI: Objective: . Subject to:: where for Conclusion: The resulting matrices allow us to construct a state feedback controller that forces the stock level to be kept close to zero (sometimes called a just-in-time policy), even when there are fluctuations in the demand of the product. Implementation: - example External Links A list of references documenting and validating the LMI. Rodrigues, Boukas. “Piecewise-Linear H ∞ Controller Synthesis with Applications to Inventory Control of Switched Production Systems.” Automatica (Oxford), vol. 42, no. 8, Elsevier Ltd, 2006, pp. 1245–54, doi:10.1016/j.automatica.2006.04.004. Return to Main Page: