Suboptimal Design of a Class of Nonlinear Controllers

1973 ◽  
Vol 95 (4) ◽  
pp. 352-355 ◽  
Author(s):  
W. B. Rouse ◽  
D. P. Garg
Keyword(s):  
Design Procedure ◽  
Controller Synthesis ◽  
Systematic Design ◽  
Algebraic Equations ◽  
Nonlinear Controller ◽  
Response Characteristics ◽  
State Variable ◽  
Nonlinear Controllers ◽  
Single Input ◽  
Suboptimal Design

A systematic design procedure is presented for suboptimal nonlinear controller synthesis. Such a control yields faster response characteristics than are normally possible with a linear controller. The technique is geared to single-input linear systems where excursions of one state variable are of more importance than others. Design steps are formulated in terms of readily applicable algebraic equations. The proposed method is applied to several design examples, and the advantages are shown by comparison with the results obtained from existing techniques.

Developments in Nonlinear Controller Synthesis: An Overview

1978 ◽  
Vol 100 (1) ◽  
pp. 59-69 ◽  
Author(s):  
Devendra P. Garg
Keyword(s):  
Functional Analysis ◽  
Nonlinear Systems ◽  
Performance Improvement ◽  
Performance Index ◽  
Controller Synthesis ◽  
Analysis Approach ◽  
Nonlinear Controller ◽  
System Synthesis ◽  
Synthesis Techniques ◽  
Nonlinear Controllers

In this paper developments in nonlinear controller synthesis techniques are surveyed. First, the use of functional analysis approach for system synthesis is discussed. Next, the application of intentional nonlinear controllers for performance improvement and optimization via performance index minimization is presented. This is followed by a discussion of signal stabilization using artificial dither. Finally, approaches are given for design of controllers to meet stability requirements for both single and multiple-loop nonlinear systems.

Projective Synchronization of a Modified Coupled Dynamos System

2012 ◽  
Vol 466-467 ◽  
pp. 1261-1265
Author(s):  
Chun Mei Wang ◽  
Ren Long Chang
Keyword(s):  
Chaotic System ◽  
Design Procedure ◽  
Scaling Factor ◽  
Drive System ◽  
Observer Design ◽  
Projective Synchronization ◽  
Pole Placement ◽  
Systematic Design ◽  
Unified Chaotic System ◽  
Placement Technique

Based on techniques from the state observer design and the pole placement technique, we present a systematic design procedure to synchronize a modified coupled dynamos system by a scaling factor ( projective synchronization ). Compared with the method proposed by Wen and Xu, this method eliminates the nonlinear item from the output of the drive system. Furthermore, the scaling factor can be adjusted arbitrarily in due course of control without degrading the controllability. Finally, feasibility of the technique is illustrated for the unified chaotic system.

MTL: Memristor Ternary Logic Design

2020 ◽  
Vol 30 (15) ◽  
pp. 2050222
Author(s):  
Li Luo ◽  
Zhekang Dong ◽  
Xiaofang Hu ◽  
Lidan Wang ◽  
Shukai Duan
Keyword(s):  
Logic Circuits ◽  
Logic Design ◽  
Ternary Logic ◽  
Nanoscale Device ◽  
State Variable ◽  
Operation Speed ◽  
Input And Output ◽  
Single Input ◽  
Logic Operations ◽  
High Information

The nanoscale implementations of ternary logic circuits are particularly attractive because of high information density and operation speed that can be achieved by using emerging memristor technologies. Memristor is a nanoscale device with nonvolatility and adjustable multilevel states, which creates an intriguing opportunity for the implementation of ternary logic operations. This paper proposes a novel memristor-based design for stateful ternary logic, including AND, OR, NOT, NAND, NOR, and COPY operations. In the proposed memristor ternary logic (MTL) design, the resistance of memristor is the only logic state variable for representing the input and output. By sensing the value of the input memristors, the resistance of the output memristor changes accordingly. Furthermore, the MTL gates are not only capable of performing logic operations, but also storing logic values. To illustrate the potential of the methodology, a single-input-three-output ternary decoder is designed by using the proposed ternary logic circuits. Simulation results verify the effectiveness of the presented design.

Utilization of Control Effort Constraints in Linear Controller Design

1989 ◽  
Vol 111 (3) ◽  
pp. 378-381 ◽  
Author(s):  
A. Galip Ulsoy
Keyword(s):  
Feedback Control ◽  
Controller Design ◽  
Design Procedure ◽  
Maximum Energy ◽  
Control Effort ◽  
Single Input Single Output ◽  
State Variable ◽  
Linear Controller ◽  
Single Output ◽  
Controlled Systems

A linear controller design procedure, which accounts for constraints on control effort, is developed by requiring that the control system utilize the maximum energy delivering capability of the final control elements under some specified test conditions (e.g., maximum step reference input). Results using this approach are available from previous studies for low-order single-input single-output controlled systems. This paper presents results for multi-input multi-output systems where the number of inputs is equal to the number of states. Both state variable feedback control for regulation, and integral plus state variable feedback control for tracking are considered and illustrated with an example problem.

BACKSTEPPING CONTROL AND SYNCHRONIZATION OF PARAMETRICALLY AND EXTERNALLY EXCITED Φ6 VAN DER POL OSCILLATORS WITH APPLICATION TO SECURE COMMUNICATIONS

2010 ◽  
Vol 24 (23) ◽  
pp. 4581-4593 ◽  
Author(s):  
A. N. NJAH ◽  
K. S. OJO
Keyword(s):  
Smooth Function ◽  
Initial Conditions ◽  
Secure Communications ◽  
Nonlinear Controller ◽  
Adaptive Backstepping ◽  
Van Der Pol ◽  
Nonlinear Controllers ◽  
Van Der Pol Oscillators ◽  
Parametric And External Excitations ◽  
Control And Synchronization

In this paper recursive and adaptive backstepping nonlinear controllers are designed to, respectively, control and synchronize the triple-well or Φ6 Van der Pol oscillators (VDPOs) with both parametric and external excitations. The designed recursive backstepping nonlinear controller is capable of stabilizing the Φ6-VDPO at any position as well as controlling it to track any trajectory that is a smooth function of time. The designed adaptive backstepping nonlinear controller globally synchronizes two Φ6-VDPOs evolving from different initial conditions and its application to secure communications is computationally demonstrated. The results are all validated by numerical simulations.

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