Control

Hybrid dynamics, combining event-based and classical dynamics (in continuous or discrete time), are common to many physical systems such as transport systems, production lines, biochemical reactors, neurons, etc. They also give rise to many control applications: supervised control, gain scheduling, quantization or sampling effects, network-controlled systems, degraded modes, and so on. The purpose of this course is to present the basic concepts necessary for the analysis and control of hybrid systems. It focuses on three formalisms: switching systems, piecewise affine systems and hybrid automata. Each concept will be illustrated by an application example from the automotive industry.

References

  1. Liberzon, D., (2003). Switching in systems and control. Springer Science & Business Media.
  2. Lygeros, J., Johansson, K. H., Simic, S. N., Zhang, J., & Sastry, S. S. (2003). Dynamical properties of hybrid automata. IEEE Transactions on automatic control, 48(1), 2-17.
  3. Tomlin, C. J., Lygeros, J., & Sastry, S. S. (2000). A game theoretic approach to controller design for hybrid systems. Proceedings of the IEEE, 88(7), 949-970.