Synthesis of Optimal Feedback Control Systems With Model Feedback Observers

1974 ◽  
Vol 96 (4) ◽  
pp. 470-474 ◽  
Author(s):  
K. Ichikawa
Keyword(s):  
Control System ◽  
Feedback Control ◽  
State Vector ◽  
Design Method ◽  
The State ◽  
Optimal Feedback Control ◽  
Feedback Control System ◽  
Linear Quadratic ◽  
Optimal Feedback ◽  
Feedback Control Systems

This paper deals with an inaccessible control problem for a discrete time linear fixed parameter system. It is well known that when the state vector is completely detectable, an optimal feedback control system can be constructed for the so-called linear quadratic problem, at least theoretically. When the state vector is not completely detectable, the problem is not so straightforward, and many different approaches or devices have been tried. In this paper, the state vector of the controlled system is restored by an observer in order to generate optimal control. Under some appropriate assumptions, the state vector is restored within at most v stages, where v is the quotient of n divided by m (n = dimension of state vector, m = dimension of output vector, with divisibility assumed in this paper). The design method for such an observer reduces to the design of a minimum stage regulator and is explained in detail in this paper. Finally, the characteristics of the feedback control system with an observer are examined numerically and compared with those of an optimal feedback control system with complete state detectability.

Motion Control of a Piezopolymer Bimorph Flexible Microactuator

1995 ◽  
Vol 7 (6) ◽  
pp. 467-473 ◽  
Author(s):  
Minoru Sasaki ◽  
◽  
Masayuki Okugawa
Keyword(s):  
Feedback Control ◽  
State Vector ◽  
Vinylidene Fluoride ◽  
Controller Design ◽  
Design Method ◽  
Optimal Feedback Control ◽  
State Variables ◽  
Optimal Feedback ◽  
Full State ◽  
Poly Vinylidene Fluoride

An optimal feedback control of a flexible microactuator made of a bimorph piezoelectric high-polymer material (PVDF: Poly Vinylidene Fluoride), is proposed in this paper. This optimal feedback control is based on the assumption that the full state vector of the system is available for measurement although practically all state variables are very difficult to measure in the case of a distributed parameter system. An observer is used to estimate the entire state vector of the system, but the presence of sensor noise tends to adversely affect the convergence of the observer. This naturally leads to a stochastic observer commonly known as the Kalman filter. Numerical and experimental results demonstrate the effectiveness of the proposed controller design method.

Mixed Strategy Global Sub-Optimal Feedback Control for Chaotic Systems

1997 ◽  
Vol 07 (03) ◽  
pp. 607-623 ◽  
Author(s):  
H. W. J. Lee ◽  
M. Paskota ◽  
K. L. Teo
Keyword(s):  
Feedback Control ◽  
State Space ◽  
Chaotic Systems ◽  
Mixed Strategy ◽  
The State ◽  
Optimal Feedback Control ◽  
Target Region ◽  
Optimal Feedback ◽  
Control Scheme

How to perform targeting of chaotic systems in a global sense is an important question. In this paper, we address this problem by introducing a mixed strategy global sub-optimal feedback control scheme. The idea is to partition the state space into 2 parts, namely, the target region and its complement. The proposed controller will take different forms depending on which partition of the state space the system is in. Simulations are also provided to illustrate the proposed scheme.

Reduction of Quantization Error in Multirate Output Feedback Control

2016 ◽  
Vol 28 (5) ◽  
pp. 640-645
Author(s):  
Takao Sato ◽  
◽  
Hironobu Sakaguchi ◽  
Nozomu Araki ◽  
Yasuo Konishi
Keyword(s):  
Control System ◽  
Feedback Control ◽  
Output Feedback ◽  
Design Method ◽  
Output Feedback Control ◽  
Quantization Error ◽  
Design Parameters ◽  
Control Input ◽  
State Variables ◽  
Feedback Control System

[abstFig src='/00280005/04.jpg' width='250' text='Multirate output feedback control' ] In the new design method we propose for a multirate output feedback control system, the hold interval of control input is longer than the sampling interval of plant output. In this system, unknown state variables are calculated using control input and plant output without observers. The multirate output feedback control system has been extended by introducing new design parameters that are designed independent of the calculation of the state variable. To our knowledge, however, no systematic design scheme has ever been proposed for design parameters in this case. In this study, quantization error is dealt with statistically and design parameters are decided to minimize quantization error.

Sign in / Sign up

Export Citation Format

Share Document