A design procedure for robust linear suboptimal regulators with preassigned trajectory sensitivity

Verde, Cristina; Frank, P.M.

doi:10.1109/cdc.1982.268271

Cited by 5 publications

(3 citation statements)

References 10 publications

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“…Consider the stable linear system This idea has been re-considered by other authors such as Vinkler and Wood (1979), Verde andFrank (1982), andNoldus (1982). Kharitonov's theorem (1979) This test for Hurwitz stability, which does not apply in general to discrete systems, has been extended by various authors' (see for instance Barmish 1987, Petersen 1987, Abdul-Wahab 1990 Hollot and Barmish (1980) showed the following result.…”

Section: Proposition 21mentioning

confidence: 95%

Use of the quantum entropy of non-probabilistic matrices in automatic control

Jumarie

1993

International Journal of Systems Science

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The quantum mechanical entropy of density matrices defined by Von Neumann in quantum physics has been generalized in the form of quantum entropy of nonprobabilistic matrices, and it is shown that the latter can be of some use in automatic control. This quantum entropy can be thought of as a measure of structure complexity and its application is quite relevant and meaningful in the following topics: stability of linear and non-linear systems, robustness and order reduction. Quantum entropy appears to be a new weightedcombination of eigenvalues which would allow us to re-examine some problems with new points of view relating to information theory without probability.

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Section: Proposition 21mentioning

confidence: 95%

Use of the quantum entropy of non-probabilistic matrices in automatic control

Jumarie

1993

International Journal of Systems Science

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“…An optimal design procedure for control systems with good transient characteristics and robustness is described. In comparison with the robust suboptimal LQR design, it wins an advantage over [5] in aspect of free assignment of closed-loop spectrum while keeping the other advantages that developed in [5] like limitation of overshoots, control of energy and reduction of sensitivity. Instead of solution of the Reccati equation, here solves the Sylvester equation.…”

Section: The Proposed Computational Proceduresmentioning

confidence: 99%

“…Using an approach different from papers [3], [4] and [5], this paper develops a particular design procedure for robust state feedback.…”

Section: Introductionmentioning

confidence: 99%

A Computational Procedure for Multivariable State Feedback Robust Controller Design

Shalaby

1987

International Conference on Aerospace Sciences and Aviation Tec

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This paper describes a procedure for multivariable state feedback robust controller design. The plant in state space is given by the operational point description or in terms of a vector of slow varying physical parameters. Through solution of the Sylvester matrix equation, a nonunique static feedback controller, which assigns the prespecified closed-loop spectrum, is calculated. In addition, all the remaining feedback degrees of freedom are utilized to optimize a multiobjective function that reflects further design properties. The robust feedback gains is calculated through a three-phase computational algorithm. Numerical examples show that under the robust state feedback control, the closed-loop systems can both achieve satisfied transient characteristics and greatly reduce state trajectory sensitivity to small or large parameter variations in the plant. The proposed procedure is still applied to a VTOL aircraft model.

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