Band formulas for calculating the numerator’s coefficients of the transfer function of a single-input system

2016 ◽  
Vol 55 (6) ◽  
pp. 856-864
Author(s):  
N. E. Zubov ◽  
E. A. Mikrin ◽  
M. Sh. Misrikhanov ◽  
V. N. Ryabchenko
Keyword(s):  
Transfer Function ◽  
Input System ◽  
Single Input

The Effective Calculation of All Assignable Polynomials to a Single-Input System Over a BÉzout Domain

2010 ◽  
Vol 55 (1) ◽  
pp. 222-225 ◽  
Author(s):  
M.V. Carriegos ◽  
A. DeFrancisco-Iribarren ◽  
R. Santamaria-Sanchez
Keyword(s):  
Bezout Domain ◽  
Input System ◽  
Single Input

A New Direct Algorithm for Pole-Placement by State-Derivative Feedback for Single-Input Linear Systems

2013 ◽  
Vol 423-426 ◽  
pp. 2869-2872
Author(s):  
Zun Hai Gao
Keyword(s):  
Linear Systems ◽  
Characteristic Polynomial ◽  
Canonical Form ◽  
General Expression ◽  
Pole Placement ◽  
Feedback Gain ◽  
Direct Algorithm ◽  
Gain Matrix ◽  
Input System ◽  
Single Input

The generalized Wonham controllable canonical form in single-input systems is presented and applied to pole placement of state derivative feedback. A new direct algorithm is proposed. The advantage of this algorithm is no need to compute the characteristic polynomial of the system. The theory and approach are introduced, and the general expression is obtained for the derivative feedback gain matrix of the single-input system.

Globally Feedback Linearizable Time-Invariant Systems: Optimal Solution for Mayer’s Problem

1998 ◽  
Vol 122 (2) ◽  
pp. 343-347 ◽  
Author(s):  
M. Schlemmer ◽  
S. K. Agrawal
Keyword(s):  
Optimal Solution ◽  
Point Boundary ◽  
Direct Solution ◽  
Alternate Form ◽  
Input System ◽  
Time Problem ◽  
Single Input ◽  
Actuator Constraints ◽  
Time Invariant ◽  
Minimum Time Problem

This paper discusses the optimal solution of Mayer’s problem for globally feedback linearizable time-invariant systems subject to general nonlinear path and actuator constraints. This class of problems includes the minimum time problem, important for engineering applications. Globally feedback linearizable nonlinear systems are diffeomorphic to linear systems that consist of blocks of integrators. Using this alternate form, it is proved that the optimal solution always lies on a constraint arc. As a result of this optimal structure of the solution, efficient numerical procedures can be developed. For a single input system, this result allows to characterize and build the optimal solution. The associated multi-point boundary value problem is then solved using direct solution techniques. [S0022-0434(00)02002-5]

Design of optimal controller for linear single-input system

1979 ◽  
Vol 15 (20) ◽  
pp. 660
Author(s):  
Lim Choo Min ◽  
B.S. Habibullah
Keyword(s):  
Optimal Controller ◽  
Input System ◽  
Single Input

Searching for Robust Minimal-Order Compensators

1999 ◽  
Vol 123 (2) ◽  
pp. 233-236 ◽  
Author(s):  
Qian Wang ◽  
Robert F. Stengel
Keyword(s):  
Transfer Function ◽  
Design Procedure ◽  
Minimal Order ◽  
Single Input Single Output ◽  
Single Output ◽  
Parameter Variations ◽  
Single Input ◽  
Monte Carlo Evaluation ◽  
And Performance ◽  
Algorithm Search

A method of designing a family of robust compensators for a single-input/single-output linear system is presented. Each compensator’s transfer function is found by using a genetic-algorithm search for numerator and denominator coefficients. The search minimizes the probabilities of unsatisfactory stability and performance subject to real parameter variations of the plant. As the search progresses, probabilities are estimated by Monte Carlo evaluation. The design procedure employs a sweep from the lowest feasible transfer-function order to higher order, terminating either when design goals have been achieved or when no further improvement in robustness is evident. The method provides a means for estimating the best possible compensation of a given order based on repeated searches.

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