Passivity‐based control design frameworks for hybrid nonlinear time‐varying dynamical systems

This article proposes two novel passivity-based control design frameworks for hybrid nonlinear dynamical systems involving an interacting mixture of continuous-time and discrete-time dynamics whose properties evolve periodically over time. By deriving the Kalman–Yakubovich–Popov (KYP) conditions characterizing dissipativeness time-dependent systems, a computational algorithm, which alternates between subsystems at appropriate sequence time instants, is then proposed to solve resultant equations in manner. Two schemes are developed by utilizing foregoing KYP tandem with passivity theorem. The overall framework consists mainly three steps. output plant first determined judiciously satisfy specifications. A controller designed meet input strict requirements. stability closed-loop system finally established interconnecting through negative feedback. Practical considerations appropriately implementing derived algorithms discussed detail. efficacy ultimately assessed via multi-dimensional source actuation.