This book assembles new methods showing the automotive engineer for the first time how hybrid vehicle configurations can be modeled as systems with discrete and continuous controls. These hybrid systems describe naturally and compactly the networks of embedded systems which use elements such as integrators, hysteresis, state-machines and logical rules to describe the evolution of continuous and discrete dynamics and arise inevitably when modeling hybrid electric vehicles. They can throw light on systems which may otherwise be too complex or recondite.
Hybrid Systems, Optimal Control and Hybrid Vehicles shows the reader how to formulate and solve control problems which satisfy multiple objectives which may be arbitrary and complex with contradictory influences on fuel consumption, emissions and drivability. The text introduces industrial engineers, postgraduates and researchers to the theory of hybrid optimal control problems.  A series of novel algorithmic developments provides tools for solving engineering problems of growing complexity in the field of hybrid vehicles.
Important topics of real relevance rarely found in text books and research publicationsswitching costs, sensitivity of discrete decisions and there impact on fuel savings, etc.are discussed and supported with practical applications. These demonstrate the contribution of optimal hybrid control in predictive energy management, advanced powertrain calibration, and the optimization of vehicle configuration with respect to fuel economy, lowest emissions and smoothest drivability. Numerical issues such as computing resources, simplifications and stability are treated to enable readers to assess such complex systems. To help industrial engineers and managers with project decision-making, solutions for many important problems in hybrid vehicle control  are provided in terms of requirements, benefits and risks.

Dr.Thomas Böhme is currently working as a technical consultant at the iav automotive engineering company. He has over 15 years industrial experience in modeling and control of chemical processes and embedded systems. His research interests are vehicle control and optimal control of hybrid systems. He published over 30 peer-reviewed papers, journal contributions and patents.
Benjamin Frank is mathematician and working at the iav automotive engineering company. He published several papers and contributions in the field of control and optimizations.

Part I Introduction.- Introduction.- Modeling of Hybrid Vehicles as Cyber-physical Systems.- Optimal Control Preliminaries.- Problem Formulation.- Part II Numerical Solutions.- Optimal Control Solutions Using Indirect Methods.- Optimal Control Solutions Using Direct Methods.- Numerical Algorithms.- Part III Applications.- Advanced Applications.- Predictive Real-time Energy Management.- CO2 Management.