Multivariable closed-loop deadbeat control: a polynomial-matrix approach

✍ Scribed by Bogumil Eichstaedt

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 509 KB
• Volume: 18
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(82)90010-3

✦ Synopsis

Al~traet--The closed-loop deadbeat servo problem (CDSP), considered in this paper, consists of the synthesis of a linear, output feedback controller such that the control signal and tracking error both vanish, after a finite period of time, for every reference sequence from a prespecified class and for every initial state of a plant and the controller. The closed-loop structure is determined by studying necessary and sufficient conditions for deadbeat tracking performance. A new theorem asserts that if an open-loop deadbeat control strategy exists for every initial state of the plant and every reference function from a given class, then CDSP is solvable and all desired control laws are found in an explicit parametric form by solving simple, unilateral, linear equations in polynomial matrices. On the basis of this theorem a design algorithm is developed. Asymptotic stability of the closed-loop system exhibiting deadbeat properties is demonstrated. A numerical example is given to illustrate the usefulness and computational efficiency of the new design algorithm presented.