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Descriptor systems, in general, have impulses in their solutions and do not admit arbitrary initial conditions. In this letter, we design a unified proportional state feedback controller for rectangular descriptor… Click to show full abstract
Descriptor systems, in general, have impulses in their solutions and do not admit arbitrary initial conditions. In this letter, we design a unified proportional state feedback controller for rectangular descriptor systems such that the closed-loop system has no-impulsive modes if the system is impulsive-mode controllable. Further, the closed-loop system will have no-impulsive modes and admits arbitrary initial conditions provided that the system is impulse controllable. Additionally, some other equivalent algebraic criteria for impulse controllability are also deduced. Real-life models from robotics and electrical systems are given to illustrate the theory.
Journal Title: IEEE Control Systems Letters
Year Published: 2023
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