Efficient multivariable submarine depth-control system design

Abstract

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Fundamental Analysis of the Perturbation Rejection Characteristics of Single-Input-Multiple-Output Systems Subject to Multiple Perturbations

“…Note that whereas all the elements of the SIMO system (1) are controllable and observable this condition does not necessarily apply for the elements of (20). That is, there may be zero-pole cancellations in the individual elements of (20).…”

“…That is, there may be zero-pole cancellations in the individual elements of (20). The next theorem deals with the stability and the structure of , ( ).…”

“…While this is obvious, using Theorem 6 it is easy to assess whether a particular { , , } triplet is stabilizable by constructing the TFM (20) and verifying that no unstable zero/pole cancellations occur in 1, ( )/ ( ). This is akin to the Ackerman canonical form of system (1); however, it allows visualizing better which outputs are affected by each perturbation.…”

“…The ICAD framework allows using classical single input single output (SISO) measures of robustness and performance for multiple input multiple output (MIMO) systems. The ICAD framework allows the interpretation of complex control problems in the context of engineering systems [8,16,[18][19][20][21]. Although ICAD was originally proposed as a decentralized control design tool, in this article ICAD is adapted for the study of the SIMO perturbation rejection problem.…”

Analysis of the damping characteristics of two power electronics-based devices using ‘individual channel analysis and design’

“…For further information on the ICAD framework, the reader is referred to [6] , where ICAD is presented, its use for multivariable control is discussed in detail, and an emphasis on robust stability is made; [7] , where the structural analysis for general m -input and m -output systems is discussed, the influence of right half-plane zeros on controller design and closed-loop performance is evidenced, and the existence of fixed stabilising controllers in the presence of system uncertainty is established; [8] , where the MSF characteristics for a range of 2 × 2 plants are studied; [9] , where the MSF properties are extended to the general m × m case; and to [10] , where the detailed treatment for 3 × 3 and 4 × 4 plants is examined. The framework has been successfully employed in a number of applications, ranging from submarines [11] , induction motors [12,13] and wind turbines [14,15] .…”