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RISLinear Quadratic Regulator for Delayed Systems Using the Hamiltonian Approach and Exact Closed-Loop Poles for First-Order Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We consider the linear quadratic regulator (LQR) for linear constant-coefficient delay differential equations (DDEs) with multiple delays. The Hamiltonian approach is used instead of an algebraic Riccati partial differential ...
Data Driven Approach to Determine Linear Stability of Delay Differential Equations Using Orthonormal History Functions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Delay differential equations (DDEs) appear in many applications, and determining their stability is a challenging task that has received considerable attention. Numerous methods for stability determination of a given DDE ...
Effect of Delay on Control of Direct Resonance of Ships in Beam Waves Using a Proportional–Derivative Controller With Delay
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A harmonically excited, single-degree-of-freedom time-delay system with cubic and quintic nonlinearities is studied. This system describes the direct resonance of a ship with an actively controlled antiroll tank (ART) that ...