Regelung zeitvarianter zeitdiskreter linearer Einfachsysteme/ Control of linear time-varying discrete-time single-input single-output systems

1979 ◽  
Vol 27 (1-12) ◽  
Author(s):  
G. LUDYK
Keyword(s):  
Discrete Time ◽  
Linear Time ◽  
Time Varying ◽  
Single Input Single Output ◽  
Single Output ◽  
Single Input

scholarly journals Commutativity of systems with their feedback conjugates

2018 ◽  
Vol 41 (3) ◽  
pp. 696-700 ◽  
Author(s):  
Mehmet Emir Koksal
Keyword(s):  
Dynamical System ◽  
Differential System ◽  
Linear Time ◽  
Relevant Literature ◽  
Time Varying ◽  
Single Input Single Output ◽  
Single Output ◽  
Single Input

After introducing commutativity concept and summarizing the relevant literature, this work is focused on the commutativity of feedback conjugates. It is already known that a linear time-varying differential system describing a single input-single output dynamical system is always commutative with its constant gain feedback pairs. In this article, it is proven that among the time-varying feedback conjugates of a linear time-varying system, constant feedback conjugates are the only commutative feedback pairs and any of the time-varying feedback conjugates cannot constitute a commutative pair of a linear time-varying system.

Nonlinear PI Compensators That Achieve High Performance

1997 ◽  
Vol 119 (1) ◽  
pp. 105-110 ◽  
Author(s):  
S. M. Shahruz ◽  
A. L. Schwartz
Keyword(s):  
High Performance ◽  
Optimization Problem ◽  
Linear Time ◽  
Feedback System ◽  
Single Input Single Output ◽  
Linear Time Invariant ◽  
Single Output ◽  
Single Input ◽  
Nonlinear Compensator ◽  
Time Invariant

In this paper, linear time-invariant single-input single-output (SISO) systems that are stabilizable by a (linear) proportional and integral (PI) compensator are considered. For such systems a five-parameter nonlinear PI compensator is proposed. The parameters of the proposed compensator are tuned by solving an optimization problem. The optimization problem always has a solution. Additionally, a general non-linear PI compensator is proposed and is approximated by easy-to-compute compensators, for instance, a six-parameter nonlinear compensator. The parameters of the approximate compensators are tuned to satisfy an optimality condition. The superiority of the proposed nonlinear PI compensators over the linear PI compensator is discussed and is demonstrated for a feedback system.

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