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Closest Feasible Points Invariance: A System Property to Characterize Systems with Actuator Saturation
Conference proceeding

Closest Feasible Points Invariance: A System Property to Characterize Systems with Actuator Saturation

Masoud Soroush and IEEE
2020 AMERICAN CONTROL CONFERENCE (ACC), v 2020-, pp 2766-2771
01 Jan 2020

Abstract

Automation & Control Systems Engineering Engineering, Electrical & Electronic Science & Technology Technology
This article introduces a new system property called the closest feasible points (CFP) invariance to characterize systems with actuator saturation. Systems that possess this invariance property include diagonal matrices, completely decentralized (completely decoupled) linear dynamical systems, and dynamical systems with a nonsingular input-independent characteristic (decoupling) matrix that can be made diagonal with row or column rearrangements. However, a single-input single-output system may not possess this property. This system property has implications and applications in control, where actuator saturation is common. For example, when an actuator saturates, the closed-loop performance of a CFP non-invariant plant under a controller that is not a solution to a constrained optimal control problem, may degrade considerably. The definition of this property guides the derivation of optimal CFP non-invariance compensators that decrease the control performance degradation gracefully in CFP non-invariant plants. This work characterizes the plants for which clipping and direction preservation of controller outputs are optimal.

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Web of Science research areas
Automation & Control Systems
Engineering, Electrical & Electronic
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