Invariant zeros of multivariable systems: A geometric analysis

Geometric analysis of multivariable control systems

Computation of zeros of linear multivariable systems

Several algorithms have been proposed in the literature for the computation of the zeros of a linear system described by a state-space model 1x1 A,B,C,D}. In this report we discuss the numerical properties of a new algorithm and compare it with some earlier techniques of computing zeros. The new approach is shown to handle both nonsquare and/or degenerate systems without difficulties whereas ea...

Multivariable Zeros of State-space Systems

If a system has more than one input or output, it is called multi-input/multi-output (MIMO) or multivariable. The poles for multivariable systems are defined the same as for single-input/single/output (SISO) systems. On the other hand, for MIMO systems, there are several kinds of zeros and the discussion of zeros is complex. A complete treatment is given in terms of the Smith and McMillan forms...

Asymptotic Properties and Stability of Zeros of Sampled Multivariable Systems

Unstable zeros limit the achievable control performance. When a continuous-time system is discretized using the zero-order hold, there is no simple relation which shows how the zeros of the continuous-time system are transformed by sampling. This paper analyzes the asymptotic behavior of the limiting zeros for multivariable systems and derives a new condition for the zeros to be stable for suff...

Invariant zeros of SISO infinite-dimensional systems

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