Hybrid Optimal Control of Large-Scale Systems

The paper deals with the decentralized control design strategy for generalized hybrid systems that consists of continuous - and discrete-time subsystems. Mathematical model of the process is traditionally associated with differential and difference equations typically derived from related physical laws. Hybrid large-scale systems are working in multiple operating modes where each mode is controlled by its own dynamic characteristics. Transitions between modes are triggered when some state variable exceeds the threshold (state events), after expiration of specified time period (time events) or by external inputs (entry events). Typical examples of hybrid control systems are many industrial processes in chemical, power and car industries in which process subsystems consist of continuous-time and discrete logic parts.