scholarly journals The Best Achievableℋ2Tracking Performances for SIMO Feedback Control Systems

2007 ◽  
Vol 2007 ◽  
pp. 1-12 ◽  
Author(s):  
Shinji Hara ◽  
Toni Bakhtiar ◽  
Masaaki Kanno
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
Linear Time ◽  
Tracking Error ◽  
Control Input ◽  
Discrete Time System ◽  
Time System ◽  
Linear Time Invariant ◽  
Augmentation Strategy ◽  
Feedback Control Systems

This paper is concerned with the inherentℋ2tracking performance limitation of single-input and multiple-output (SIMO) linear time-invariant (LTI) feedback control systems. The performance is measured by the tracking error between a step reference input and the plant output with additional penalty on control input. We employ the plant augmentation strategy, which enables us to derive analytical closed-form expressions of the best achievable performance not only for discrete-time system, but also for continuous-time system by exploiting the delta domain version of the expressions.

Robust Stability and Stabilization of Deterministic Networked Control Systems

2012 ◽  
Vol 433-440 ◽  
pp. 4108-4113
Author(s):  
Yan Ping Wang ◽  
Qi Xin Zhu
Keyword(s):  
Control Systems ◽  
Robust Stability ◽  
Networked Control Systems ◽  
Linear Time ◽  
Networked Control ◽  
Deterministic System ◽  
Control Loops ◽  
Linear Time Invariant ◽  
Feedback Control Systems ◽  
Time Invariant

Feedback control systems wherein the control loops are closed through a real-time network are called networked control systems. Under some special conditions proposed in literature, the networked control systems with stochastic time delay can be transformed a deterministic system with a constant delay. Based on linear time invariant discrete time process, the robust stability of deterministic networked control systems is analyzed and the designing method of robust state feedback controller for deterministic networked control systems is proposed in this paper for the first time. An example is given to verify the theory results of this paper.

Bode optimal loop shaping with CRONE compensators

2010 ◽  
Vol 17 (13) ◽  
pp. 1964-1974 ◽  
Author(s):  
Alfonso Baños ◽  
Joaquín Cervera ◽  
Patrick Lanusse ◽  
Jocelyn Sabatier
Keyword(s):  
Control Systems ◽  
Linear Time ◽  
Point Of View ◽  
Loop Structure ◽  
Practical Point ◽  
Linear Time Invariant ◽  
Loop Design ◽  
Loop Shaping ◽  
Feedback Control Systems ◽  
Time Invariant

Ideal Bode characteristics give a classical answer to optimal loop design for linear time invariant feedback control systems in the frequency domain. This work recovers eight-parameter Bode optimal loop gains, providing a useful and simple theoretical reference for the best possible loop shaping from a practical point of view. The main result of the paper is to use CRONE compensators to make a good approximation and in addition a way for the synthesis of the Bode optimal loop. For that purpose, a special loop structure based on second and third generation CRONE compensators is used. As a result, simple design relationships will be obtained for tuning the proposed CRONE compensator.

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