Parameterization of the class of deadbeat controllers

Schlegel, M.

doi:10.1109/tac.1982.1102965

Cited by 23 publications

(8 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Early works of Schlegel [19] and Fahmy et al [16] developed the parametrization of deadbeat regulators. However, their parametric solutions are not completely explicit since they contain an inverse of a matrix containing the free parameters.…”

Section: Azne Parametrization Of Mtdc Feedback Gainmentioning

confidence: 99%

“…is the minimum number of independent free parameters w G in parametrizing K [19,20]. Notice that the a$ne parametrization of K in the form of (11) and (12) is not mentioned in Funahashi et al [13].…”

Section: Ane Parametrization Of Kmentioning

confidence: 99%

“…To sum up, the GCRDPA problem can be reduced into an SDP task with the setting: minimize w z (19) subject to…”

Section: Robust Pole Assignment Via Lmi Optimizationmentioning

confidence: 99%

“…A w is called a feasible point if it satis"es constraints (20)} (22). If the set of feasible points is non-empty, which implies P5QO, then there exists a point w which lies in P5Q such that (19) is globally optimal. The guarantee of "nding a globally optimal solution in (16) on condition that P5QO is one of the remarkable features of LMI-based convex optimization.…”

Section: Robust Pole Assignment Via Lmi Optimizationmentioning

confidence: 99%

See 3 more Smart Citations

Robust deadbeat pole assignment with gain constraints: an LMI optimization approach

Tam

Lam

2000

Optim Control Appl Methods

View full text Add to dashboard Cite

This paper considers a kind of robust pole assignment problem for discrete-time systems. A recently developed a posteriori measure of closed-loop eigenvalue sensitivity suitable for MIMO deadbeat regulator design is minimized during the search of the state feedback gain. The problem is cast into an LMI-based convex optimization task in which constraints on the size of feedback gain can be catered naturally. The proposed pole assignment algorithm can also be used to "nd the minimum feedback gain with respect to di!erent norms. A numerical example is then employed to illustrate the e!ectiveness of the method.

show abstract

Section: Azne Parametrization Of Mtdc Feedback Gainmentioning

confidence: 99%

Section: Ane Parametrization Of Kmentioning

confidence: 99%

“…To sum up, the GCRDPA problem can be reduced into an SDP task with the setting: minimize w z (19) subject to…”

Section: Robust Pole Assignment Via Lmi Optimizationmentioning

confidence: 99%

Section: Robust Pole Assignment Via Lmi Optimizationmentioning

confidence: 99%

See 2 more Smart Citations

Robust deadbeat pole assignment with gain constraints: an LMI optimization approach

Tam

Lam

2000

Optim Control Appl Methods

View full text Add to dashboard Cite

show abstract

“…This approach was exploited to designing minimum norm deadbeat systems (Fahmy and O'Reilly 1983b). The minimal parametrization of a class of state-feedback deadbeat controllers was given by Schlegel (1982). The nonuniqueness of the statefeedback gain matrix allows one to search for a solution which leads to, in certain sense, a more robust closedloop system.…”

Section: Introductionmentioning

confidence: 99%

On the design of robust deadbeat regulators

Lam¹,

Tso²,

Tsing³

Proceedings of 35th IEEE Conference on Decision and Control

View full text Add to dashboard Cite

Parametric Jordan Form Assignment Revisited

Schlegel¹,

Kőnigsmarková²

2013

Asian Journal of Control

View full text Add to dashboard Cite

The Jordan form assignment problem (complete and partial) for linear multivariable control system is formulated and completely solved by the unified Sylvester matrix equation approach. A new explicit parametrization of all state feedbacks assigning an admissible Jordan form through the minimum number of parameters is provided. The main advantage of this parametrization, unlike previous ones, is that it is explicit; thus, it can be used, not only for numeric, but also symbolic computations. This fact is demonstrated on the problem of parametrization of all output feedbacks assigning an admissible Jordan form, where Gröbner basis method is applied. Developed algorithms for Jordan form assignment by state and output feedback are implemented in the freely available Maple package.

show abstract

Parameterization of the class of deadbeat controllers

Cited by 23 publications

References 5 publications

Robust deadbeat pole assignment with gain constraints: an LMI optimization approach

Robust deadbeat pole assignment with gain constraints: an LMI optimization approach

On the design of robust deadbeat regulators

Parametric Jordan Form Assignment Revisited

Contact Info

Product

Resources

About