Prescribed pole placement with optimal weight selection for single-input controllable systems

1996 ◽  
Vol 19 (1) ◽  
pp. 253-256
Author(s):  
Shyh-Pyng Shue ◽  
M. E. Sawan ◽  
Kamran Rokhsaz
Keyword(s):  
Pole Placement ◽  
Optimal Weight ◽  
Single Input ◽  
Selection For ◽  
Controllable Systems

scholarly journals A Direct Algorithm for Pole Placement by State-derivative Feedback for Single-input Linear Systems

10.14311/500 ◽  
2003 ◽  
Vol 43 (6) ◽  
Author(s):  
Taha H. S. Abdelaziz ◽  
M. Valášek
Keyword(s):  
Control Systems ◽  
Linear Systems ◽  
Closed Loop ◽  
Original System ◽  
Pole Placement ◽  
Time Varying ◽  
Placement Problem ◽  
Input System ◽  
Single Input ◽  
Controllable Systems

This paper deals with the direct solution of the pole placement problem for single-input linear systems using state-derivative feedback. This pole placement problem is always solvable for any controllable systems if all eigenvalues of the original system are nonzero. Then any arbitrary closed-loop poles can be placed in order to achieve the desired system performance. The solving procedure results in a formula similar to the Ackermann formula. Its derivation is based on the transformation of a linear single-input system into Frobenius canonical form by a special coordinate transformation, then solving the pole placement problem by state derivative feedback. Finally the solution is extended also for single-input time-varying control systems. The simulation results are included to show the effectiveness of the proposed approach.

scholarly journals Comparative study of zero effects in pole-placement control system design via the shift and delta transforms

2005 ◽  
Vol 18 (3) ◽  
pp. 439-451
Author(s):  
Milica Naumovic
Keyword(s):  
Control System ◽  
System Design ◽  
Pole Placement ◽  
Control System Design ◽  
Single Input Single Output ◽  
Single Output ◽  
Continuous Time Systems ◽  
Single Input ◽  
Pole Placement Control ◽  
Time Systems

This paper deals with the special replacement of the shift operator and its associated z transform by delta operator and ? transform, respectively. The aim of the paper is to clarify the role of zeros of discretized linear single input single output continuous-time systems modeled by shift and delta operators. In particular, the effect of zero dynamics on the control system design based on classical pole-zero assignment in the case of both operators is considered. The analysis is illustrated by simulation results.

scholarly journals On the selection of poles in the single-input pole placement problem

1999 ◽  
Vol 302-303 ◽  
pp. 331-345 ◽  
Author(s):  
D. Calvetti ◽  
B. Lewis ◽  
L. Reichel
Keyword(s):  
Pole Placement ◽  
Placement Problem ◽  
Input Pole ◽  
Single Input ◽  
Selection Of

Optimal pole-placement for linear multi-input controllable systems

1987 ◽  
Vol 34 (12) ◽  
pp. 1602-1604 ◽  
Author(s):  
A.T. Alexandridis ◽  
G.D. Galanos
Keyword(s):  
Pole Placement ◽  
Controllable Systems

Pole Placement for Single-Input Linear System by Proportional-Derivative State Feedback

2014 ◽  
Vol 137 (4) ◽  
Author(s):  
Taha H. S. Abdelaziz
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Degrees Of Freedom ◽  
State Feedback ◽  
Pole Placement ◽  
Feedback Gain ◽  
Time Varying ◽  
Placement Problem ◽  
Single Input ◽  
Time Invariant

This paper deals with the direct solution of the pole placement problem for single-input linear systems using proportional-derivative (PD) state feedback. This problem is always solvable for any controllable system. The explicit parametric expressions for the feedback gain controllers are derived which describe the available degrees of freedom offered by PD state feedback. These freedoms are utilized to obtain closed-loop systems with small gains. Its derivation is based on the transformation of linear system into control canonical form by a special coordinate transformation. The solving procedure results into a formula similar to Ackermann’s one. In the present work, both time-invariant and time-varying linear systems are treated. The effectiveness of the proposed method is demonstrated by the simulation examples of both time-invariant and time-varying systems.

Optimization and pole placement for a single input controllable system

1981 ◽  
Vol 33 (2) ◽  
pp. 355-362 ◽  
Author(s):  
T. G. KOUSSlOURIS ◽  
A. G. BAKIRTZIS
Keyword(s):  
Pole Placement ◽  
Controllable System ◽  
Single Input
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