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In systems where the ability to actuate is a scarce resource, e.g.,spacecrafts, it is desirable to only apply a given controller in anintermittent manner--with periods where the controller is on and periods whereit is off. Motivated by the event-triggered control paradigm, wherestate-dependent triggers are utilized in a sample-and-hold context, wegeneralize this concept to include state triggers where the controller is offthereby creating a framework for intermittent control. Our approach utilizescertificates--either Lyapunov or barrier functions--to design intermittenttrigger laws that guarantee stability or safety; the controller is turned onfor the period for which is beneficial with regard to the certificate, andturned off until a performance threshold is reached. The main result of thispaper is that the intermittent controller scheme guarantees (set) stabilitywhen Lyapunov functions are utilized, and safety (forward set invariance) inthe setting of barrier functions. As a result, our trigger designs can leveragethe intermittent nature of the actuator, and at the same time, achieve the taskof stabilization or safety. We further demonstrate the application and benefitsof intermittent control in the context of the spacecraft orbit stabilizationproblem.

Stability and Safety through Event-Triggered Intermittent Control with Application to Spacecraft Orbit Stabilization