Almost disturbance decoupling via state and full information feedback

Part of the Systems & Control: Foundations & Applications book series (SCFA)


The objective of the exact disturbance decoupling (EDD) problem studied in Chapter 5 was to find a controller such that the controlled output was completely decoupled from an exogenous disturbance signal. In many cases, the EDD problem is not solvable and the next case to investigate is the almost disturbance decoupling (ADD) problem whose objective is to find a sequence of controllers such that the controlled output can be arbitrarily well decoupled from the disturbance by choosing an appropriate member of this sequence. To our knowledge, this problem was first introduced by J. L. Willems in [105]. A solution for this problem by state feedback was later obtained by J. C. Willems in [106, 107]. Many researchers have contributed to the understanding of ADD. In [72], the solvability conditions for different versions of the ADD problem can be found for the most general case.


Transfer Matrix State Feedback Feedback Controller Solvability Condition State Feedback Controller 
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© Birkhäuser Boston 2007

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