A Controller Design Method Under Infrequent, Asynchronous Sensing

Abstract. We use discrete quadratic Lyapunov functions to design controllers for a class of systems where time intervals between state measurements are longer than time intervals between control actions and different components of the state vector are not measured at the same time. The discrete Lyapunov function is a discretization of a continuous Lyapunov function assumed to be known for the idealized system. With this framework, we determine the maximum time interval between measurements of each state variable to guarantee the non-increasing property for the discrete Lyapunov function.

• Type: Conference
• Year: 2007
• Where: HYBRID
• Authors: Fumin Zhang, Naomi Ehrich Leonard
• Keywords: Discrete Lyapunov Function, HYBRID 2007, Hybrid Systems, Lyapunov Function, Time Interval