Deterministic Disturbance Rejection in Linear Identification

1977 ◽  
Vol 99 (4) ◽  
pp. 307-310
Author(s):  
M. Tomizuka ◽  
Y. Takahashi
Keyword(s):  
Time Series ◽  
Adverse Effects ◽  
Discrete Time ◽  
Disturbance Rejection ◽  
Single Input Single Output ◽  
Identification Schemes ◽  
Discrete Time Series ◽  
Single Output ◽  
Single Input

Adverse effects of deterministic disturbances in linear identification are pointed out. The deterministic disturbance rejector (DDR) is introduced to remove such effects in discrete-time series-parallel and parallel identification schemes for single-input, single-output systems. The method works for a class of disturbances such as a constant disturbance that can be regarded as the outputs of free systems with known dynamics.

Genetic algorithms in model structure and controller structure identification

1997 ◽  
Vol 211 (5) ◽  
pp. 333-343 ◽  
Author(s):  
I G French ◽  
C S Cox ◽  
C K S HO
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Structure Identification ◽  
Time Transfer ◽  
Output Control ◽  
Single Input Single Output ◽  
Single Output ◽  
Advanced Control ◽  
Single Input ◽  
Selection Of

Conventional multiloop SISO (single-input, single-output) control systems are still used in industry even though stating interaction between loops often significantly limits their effectiveness. Modern industry requires advanced control solutions based around multivariable system formulations. Two related but specific problems arise in the design of discrete-time MIMO (multi-input, multi-output) control systems. The first is the efficient identification of the structure, order and parameters of the MIMO discrete-time transfer function process description. The second is the difficulty in quickly establishing the selection of an appropriate set of manipulated variables to control a set of specified outputs, often called the ‘pairing problem’. This paper suggests a framework to help solve both problems by the development of automated search procedures based on a genetic algorithm.

Series-Parallel and Parallel Identification Schemes for a Class of Continuous Nonlinear Systems

1977 ◽  
Vol 99 (2) ◽  
pp. 137-140
Author(s):  
Masayoshi Tomizuka
Keyword(s):  
Identification Algorithm ◽  
Input Output ◽  
Single Input Single Output ◽  
Identification Schemes ◽  
Linear Dynamic ◽  
Single Output ◽  
Single Input ◽  
Static Part ◽  
Nonlinear Static ◽  
The Stability

This technical brief deals with the identification of a single-input, single-output nonlinear system which is composed of a nonlinear static part and a linear dynamic part. A series-parallel identification algorithm and a parallel identification algorithm are presented; they require the input, output, and the order of the linear dynamic portion of the system. The stability of the algorithms is assured by Popov’s hyperstability theorem. The effectiveness of the identification schemes developed is demonstrated by computer simulation.

Robust Disturbance Rejection for a Class of Nonlinear Systems Using Disturbance Observers

2013 ◽  
Author(s):  
Ahmed H. El-Shaer ◽  
Abdulrahman H. Bajodah
Keyword(s):  
Nonlinear Systems ◽  
Disturbance Rejection ◽  
Disturbance Observer ◽  
Closed Loop ◽  
Inverted Pendulum ◽  
Single Input Single Output ◽  
Luenberger Observer ◽  
Single Output ◽  
Single Input ◽  
Bounded Disturbance

This paper is concerned with disturbance rejection performance in single-input single-output (SISO) nonlinear systems that are described by uncertain linear dynamics and bounded nonlinearities. First, the nonlinear terms are transformed into an equivalent bounded disturbance at the output of a linear system. Then, a disturbance observer (DOB) is added to the closed loop to achieve robust disturbance rejection. The DOB design is formulated as an extended Luenberger observer having internal dynamics with at least an eigenvalue at the origin. The synthesis of a (sub)optimal DOB is carried out by solving multi-objective H∞ sensitivity optimization. The design approach is applied to an inverted pendulum with actuator backlash. Closed loop response shows that tracking performance is indeed greatly enhanced with the DOB.

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