Low Complexity Control of Hybrid Systems with Application to Control of Step-down DC-DC Converters

Control of hybrid systems as those systems with mixed time-driven and event-driven dynamics faces the computational complexity as a main challenging problem. Explicit solution to the optimal control problems has been proposed as a tool to reduce the on-line computational burden. The complexity of the explicit solution is again prohibitive for large problems. This paper shows that how a recently-proposed approach by the authors can be utilized to reduce the computational complexity in explicit predictive control of hybrid systems. The proposed approach generates a family of suboptimal controllers for which the complexity and error can be controlled by a tuning parameter. The closed loop stability is guaranteed by a contractive constraint and is preserved in all suboptimal controllers. Application of the proposed scheme to hybrid control of synchronous step-down DC-DC converters clarifies the steps for modeling and controller design as well as the achieved computational benefits.