• Home   /  
  • Archive by category "1"

Generalized Assignment Problem Matlab For Loop


Given the single- or multi-input system

and a vector of desired self-conjugate closed-loop pole locations, computes a gain matrix such that the state feedback u = –Kx places the closed-loop poles at the locations . In other words, the eigenvalues of ABK match the entries of (up to the ordering).

places the desired closed-loop poles by computing a state-feedback gain matrix . All the inputs of the plant are assumed to be control inputs. The length of must match the row size of . works for multi-input systems and is based on the algorithm from [1]. This algorithm uses the extra degrees of freedom to find a solution that minimizes the sensitivity of the closed-loop poles to perturbations in A or B.

returns , an estimate of how closely the eigenvalues of ABK match the specified locations ( measures the number of accurate decimal digits in the actual closed-loop poles). If some nonzero closed-loop pole is more than 10% off from the desired location, contains a warning message.

You can also use for estimator gain selection by transposing the matrix and substituting for .

Consider a state-space system with two inputs, three outputs, and three states. You can compute the feedback gain matrix needed to place the closed-loop poles at by


uses the algorithm of [1] which, for multi-input systems, optimizes the choice of eigenvectors for a robust solution.

In high-order problems, some choices of pole locations result in very large gains. The sensitivity problems attached with large gains suggest caution in the use of pole placement techniques. See [2] for results from numerical testing.


[1] Kautsky, J., N.K. Nichols, and P. Van Dooren, "Robust Pole Assignment in Linear State Feedback," International Journal of Control, 41 (1985), pp. 1129-1155.

[2] Laub, A.J. and M. Wette, Algorithms and Software for Pole Assignment and Observers, UCRL-15646 Rev. 1, EE Dept., Univ. of Calif., Santa Barbara, CA, Sept. 1984.

Introduced before R2006a

Your browser is not secure

You're seeing this page because your web browser tried to connect to Warwick's website with insecure settings. Please upgrade your web browser.

The TLS 1.0 encryption protocol is disabled across the University's web services. Disabling TLS 1.0 prevents it from being used to access Warwick websites via an insecure web browser or application. We've made this change to keep the University's websites safe and secure.

What do I need to do?

When accessing websites using a web browser, ensure you use the latest available version of the browser – whether that is Internet Explorer, Google Chrome, Mozilla Firefox, Safari or another browser. Using the latest version keeps you safe online because you're using the most up-to-date security settings.

Why is this happening?

Although TLS 1.0, when configured properly, has no known security vulnerabilities, newer protocols are designed better to address the potential for new vulnerabilities.

The PCI Data Security Standard 3.1 recommends disabling “early TLS”:

“SSL and early TLS are not considered strong cryptography and cannot be used as a security control after June 30, 2016 [without a mitigation strategy for disabling it before June 2018].


The best response is to disable SSL entirely and migrate to a more modern encryption protocol, which at the time of publication is a minimum of TLS v1.1, although entities are strongly encouraged to consider TLS v1.2.”

We need to be PCI-compliant to take online payments at the University. It is not sufficient to merely disable TLS 1.0 on our transaction tracking system as the requirement extends to any system that initiates a payment, including car parking, printer credits, the Warwick website, etc.

One thought on “Generalized Assignment Problem Matlab For Loop

Leave a comment

L'indirizzo email non verrà pubblicato. I campi obbligatori sono contrassegnati *