Fixed-Order Decoupling of Interval Plant Families

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Mostafa Negim ◽  
Amin Nobakhti
Keyword(s):  
Linear Time ◽  
Frequency Control ◽  
Multiple Input Multiple Output ◽  
Interval Uncertainty ◽  
Linear Time Invariant ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Fixed Order ◽  
Plant Families ◽  
Time Invariant

A method for the reduction of interactions in linear time invariant (LTI) multivariable uncertain systems is proposed. An H∞-norm metric is proposed for the assessment of interactions in interval uncertain multiple-input multiple-output (MIMO) plants. Based on this, a procedure for the design of fixed-order dynamic decoupling precompensators for MIMO plants with interval uncertainty is outlined which can be solved using efficient solvers such as cvx. The proposed methodology is used to develop a low-order robust multivariable controller for voltage and frequency control of an islanded distributed generation (DG) unit.

A Simple Algorithm for Pole Assignment in a Multiple Input Linear Time Invariant Dynamic System

1974 ◽  
Vol 96 (1) ◽  
pp. 13-18 ◽  
Author(s):  
M. R. Chidambara ◽  
R. B. Broen ◽  
J. Zaborszky
Keyword(s):  
Dynamic System ◽  
Linear Time ◽  
Simple Algorithm ◽  
Pole Assignment ◽  
Asymptotic State ◽  
Linear Time Invariant ◽  
Input System ◽  
Multiple Input ◽  
System Equations ◽  
Time Invariant

This paper is concerned with the development of a simple algorithm for solving the problem of pole assignment in a multiple input linear time-invariant dynamic system, by means of state variable feedback. Unlike other existing methods which solve the same problem, the proposed algorithm does not require the transformation of the system equations to a special canonical form or the reduction of the multiple input system to an equivalent single input system. Analogously, the dual problem of constructing an asymptotic state estimator for a multiple output system is solved, with the solution enjoying analogous advantages.

Robust Controllability of Interval Fractional Order Linear Time Invariant Systems

2005 ◽  
Author(s):  
Yang Quan Chen ◽  
Hyo-Sung Ahn ◽  
Dingyu¨ Xue
Keyword(s):  
State Space ◽  
Fractional Order ◽  
Linear Time ◽  
Interval Uncertainty ◽  
State Matrix ◽  
Order Linear ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Robust Controllability ◽  
Time Invariant

We consider uncertain fractional-order linear time invariant (FO-LTI) systems with interval coefficients. Our focus is on the robust controllability issue for interval FO-LTI systems in state-space form. We re-visited the controllability problem for the case when there is no interval uncertainty. It turns out that the stability check for FO-LTI systems amounts to checking the conventional integer order state space using the same state matrix A and the input coupling matrix B. Based on this fact, we further show that, for interval FO-LTI systems, the key is to check the linear dependency of a set of interval vectors. Illustrative examples are presented.

Quantitative Design of Mimo Nonlinear Uncertain Feedback Systems Having Nonzero Initial Conditions

1991 ◽  
Vol 113 (3) ◽  
pp. 518-523 ◽  
Author(s):  
Oded Yaniv
Keyword(s):  
Initial Conditions ◽  
Linear Time ◽  
Multiple Input Multiple Output ◽  
Synthesis Method ◽  
Disturbance Attenuation ◽  
Feedback Systems ◽  
Initial State ◽  
Linear Time Invariant ◽  
Input Multiple Output ◽  
Linear Time Invariant Systems

An n × n nonlinear uncertain multiple-input multiple-output plant W, known only to belong to a set {W} is considered. At t=0 it is transformed into a one-degree-of-freedom feedback structure with compensation G. A synthesis method is developed to design G so that a given level of attenuation of plant output is attained for all Wε{W} and for any set of initial conditions y0ε{y0} on output of the plant W. The design philosophy is to convert the problem into a disturbance attenuation problem for uncertain linear time invariant systems with zero initial state, which in turn is converted into a series of successive single-input-output problems of the disturbance attenuation type. A design example is included.

Optimal Modified Tracking Performance of Linear Single-Input Multiple-Output Control Systems

2015 ◽  
Vol 719-720 ◽  
pp. 393-399
Author(s):  
Bao Xian Wang ◽  
Zhi Hong Guan ◽  
Hou Neng Wang
Keyword(s):  
Control Systems ◽  
Linear Time ◽  
Reference Signal ◽  
Performance Bound ◽  
Output Control ◽  
Linear Time Invariant ◽  
Input Multiple Output ◽  
Single Input ◽  
Output Dimension ◽  
Time Invariant

In this paper, the optimal modified performance of the single-input multiple-output (SIMO) linear time-invariant (LTI) systems is investigated. The performance bound is related to the scaled factor, the inner factor of the plant and the spectral density of the reference signal. The output dimension also plays an important role. The strong restrictions of the directions for the reference signal and the assumption that the plant must have an integrator in the existing conclusions are not necessary. Also the modified performance index overcomes the invalidity when the state error is not zero vectors.

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