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This paper deals with the problem of computing a state feedback optimizing a quadratic cost function for a class of linear hybrid systems. A solution to the finite-horizon and infinite-horizon Linear Quadratic optimal control problem is found through an hybrid extension of classical Differential and Difference Riccati Equations. Necessary and sufficient conditions, guaranteeing that the infinite-horizon...
Event-triggered control (ETC) is a control strategy that is especially suited for applications where communication resources are scarce. By updating and communicating sensor and actuator data only when needed for stability or performance purposes, ETC is capable of reducing the amount of communications, while still retaining a satisfactory closed-loop performance. In this paper, an ETC strategy is...
We extend results on backstepping hybrid feedbacks by exploiting synergistic Lyapunov function and feedback (SLFF) pairs in a generalized form. Compared to existing results, we delineate SLFF pairs that are “ready-made” and do not require extra dynamic variables for backstepping. From an (weak) SLFF pair for an affine control system, we construct an SLFF pair for an extended system where the control...
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