A Geometric Representation of Root Sensitivity

1994 ◽  
Vol 116 (2) ◽  
pp. 305-309 ◽  
Author(s):  
T. R. Kurfess ◽  
M. L. Nagurka
Keyword(s):  
Control System ◽  
System Design ◽  
Dynamic Systems ◽  
Linear Time ◽  
Sensitivity Function ◽  
Control System Design ◽  
Geometric Representation ◽  
Root Locus ◽  
Linear Time Invariant ◽  
Time Invariant

In this paper, we present a geometric method for representing the classical root sensitivity function of linear time-invariant dynamic systems. The method employs specialized eigenvalue plots that expand the information presented in the root locus plot in a manner that permits determination by inspection of both the real and imaginary components of the root sensitivity function. We observe relationships between root sensitivity and eigenvalue geometry that do not appear to be reported in the literature and hold important implications for control system design and analysis.

H ∞ and Sliding Mode Observers for Linear Time-Invariant Fractional-Order Dynamic Systems With Initial Memory Effect

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Sang-Chul Lee ◽  
Yan Li ◽  
YangQuan Chen ◽  
Hyo-Sung Ahn
Keyword(s):  
Memory Effect ◽  
Fractional Order ◽  
Dynamic Systems ◽  
Sliding Mode ◽  
Linear Time ◽  
Unknown Input ◽  
Unknown Input Observer ◽  
Linear Time Invariant ◽  
Sliding Mode Observers ◽  
Time Invariant

The H∞ and sliding mode observers are important in integer-order dynamic systems. However, these observers are not well explored in the field of fractional-order dynamic systems. In this paper, the H∞ filter and the fractional-order sliding mode unknown input observer are developed to estimate state of the linear time-invariant fractional-order dynamic systems with consideration of proper initial memory effect. As the first result, the fractional-order H∞ filter is introduced, and it is shown that the gain from the noise to the estimation error is bounded in the sense of the H∞ norm. Based on the extended bounded real lemma, the H∞ filter design is formulated in a linear matrix inequality form, and it will be seen that numerical methods to solve convex optimization problems are feasible in fractional-order systems (FOSs). As the second result of this paper, not only state but also unknown input disturbance are estimated by fractional-order sliding-mode unknown input observer, simultaneously. In this paper, it is shown that the design and stability analysis of the two estimation techniques are not related with the initial history. Through two numerical examples, the performance of the fractional-order H∞ filter and the fractional-order sliding-mode observer is illustrated with consideration of the initialization functions.

scholarly journals Design of Centralized PI Control System for Two Variable Processes based on Root Locus Technique

2019 ◽  
Vol 9 (1) ◽  
pp. 4851-4855
Keyword(s):  
Control System ◽  
System Design ◽  
Decentralized Control ◽  
Pi Control ◽  
Control System Design ◽  
Centralized Control ◽  
Single Variable ◽  
Root Locus ◽  
Input And Output ◽  
Simulation Results

This paper describes the design of centralized controller for two variable processes. The two variable process structures are somehow different from the single variable processes. This difference is occurred because of interrelations between the variables present in the process. Hence, when a controller is planned for such systems, the relations amid the variables must be taken into consideration. This process is done in decentralized control system design. But decentralized control system works well when the interrelations between the variables are simple. If the interaction is strong, then the centralized control system is preferred since it uses a controller for each pair of input and output variables. The controller used in main diagonal works for improving the servo performance and off diagonal controller reduces the interrelation effect. So the performance is improved by minimizing the interrelation effects. The design process is easy to understand by field engineers working in industries. The simulation results are included in this paper to specify the efficacy of the proposed scheme.

scholarly journals An Object-Based Software Package for Interactive Control System Design and Analysis

2003 ◽  
Vol 3 (4) ◽  
pp. 366-371 ◽  
Author(s):  
Yong Zhu ◽  
Bo Chen ◽  
Harry H. Cheng
Keyword(s):  
Control System ◽  
System Design ◽  
Software Package ◽  
Linear Time ◽  
Three Dimensional ◽  
Control System Design ◽  
Interactive Control ◽  
Analysis And Design ◽  
Object Based ◽  
Numerical Computing

Ch is an embeddable C/C++ interpreter. It was developed to allow software developers to use one language, anywhere and everywhere, for any programming task. Ch supports C99, a latest C standard ratified in 1999, and contains salient features for two and three dimensional plotting and numerical computing for applications in engineering and science. Developed in Ch, Ch Control System Toolkit provides a control class with member functions for object-based interactive modeling, analysis, and design of linear time-invariant control systems. The software package, available for downloading on the web, has been widely used in industry to solve practical engineering problems and in universities for instructional improvement. The design and implementation of Ch Control System Toolkit are described in this paper. Two application examples of control system design and analysis using Ch Control System Toolkit demonstrate its power and simplicity.

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