State-Feedback Implementation of Cascade Compensators
For a general dynamical system Σ and cascade compensation conditions are developed for the existence of a state-feedback law F which when applied to Σ causes the result-ing closed-loop system ΣF to exhibit the same input-output behavior as the cascade connection of Σ with . For a controllable, observable linear system Σ with transfer matrix TΣ, it is shown that an invertible linear cascade compensator with transfer matrix . can be implemented with state feedback if and only if the McMillan Degree of TΣ equals the McMillan Degree of .
KeywordsLinear System Transfer Matrix Realization Theory Cascade Control Invertible State
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- A.S. Morse, “System Invariants Under Feedback and Cascade Control,” Proc. Int. Symp. on Math. Syst. Theory, Udine, Italy, 1975, pp. 61–74.Google Scholar