Title :
Single Diophantine equation solution of the discrete-time polynomial H2 and H∞ control problems with a classical feedback structure
Author :
Zhao, Haipeng ; Bentsman, Joseph
Abstract :
The linear discrete-time polynomial optimal feedback control laws are typically obtained via simultaneous solution of two Diophantine equations. In this work, a number-theory based technique is introduced that permits reduction of the polynomial controller synthesis procedures for the single-input-single-output (SISO) H2 and H∞ regulation and tracking control problems with a classical feedback structure and plants with arbitrary stability properties to solving a single Diophantine equation. The technique proposed is also used to reduce the solution of the multi-input-multi-output (MIMO) generalized H∞ control problem
Keywords :
H∞ control; MIMO systems; closed loop systems; control system synthesis; discrete time systems; feedback; linear systems; number theory; polynomials; tracking; MIMO control problem; SISO regulation; SISO tracking control; classical feedback structure; discrete-time polynomial H∞ control problems; discrete-time polynomial H2 control problems; linear control laws; multi-input-multi-output control problem; number-theory based technique; single Diophantine equation solution; single-input-single-output regulation; single-input-single-output tracking control; Collision mitigation; Feedback control; Hydrogen; Industrial control; Linear feedback control systems; Optimal control; Polynomials; Riccati equations; Robust control; Stability;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980182
