Steady state analysis of non-linear systems and multiple input describing functions (M.I.D.F.)

Automatica ◽  
1969 ◽  
Vol 5 (6) ◽  
pp. 763-772 ◽  
Author(s):  
R.G. Sea ◽  
A.G. Vacroux
Keyword(s):  
Steady State ◽  
Linear Systems ◽  
Steady State Analysis ◽  
Describing Functions ◽  
Multiple Input ◽  
Non Linear ◽  
Non Linear Systems ◽  
State Analysis

Time-averaged non-linear systems: steady-state analysis

1973 ◽  
Vol 17 (6) ◽  
pp. 1143-1152
Author(s):  
HANOCH UR ◽  
TSVI LISSACK
Keyword(s):  
Steady State ◽  
Linear Systems ◽  
Steady State Analysis ◽  
Non Linear ◽  
Non Linear Systems ◽  
State Analysis

A Galerkin method for the steady state analysis of harmonically excited non-linear systems

1992 ◽  
Vol 27 (6) ◽  
pp. 661-671 ◽  
Author(s):  
A.E Kanarachos ◽  
C.N Spentzas
Keyword(s):  
Steady State ◽  
Galerkin Method ◽  
Linear Systems ◽  
Steady State Analysis ◽  
Non Linear ◽  
Non Linear Systems ◽  
State Analysis

Analysis of Single Buffer Random Polling System With State-Dependent Input Process and Server/Station Breakdowns

2018 ◽  
Vol 9 (1) ◽  
pp. 22-50 ◽  
Author(s):  
Thomas Y.S. Lee
Keyword(s):  
Steady State ◽  
Linear Model ◽  
Repair Process ◽  
Polling System ◽  
Steady State Analysis ◽  
Relaxation System ◽  
Polling Model ◽  
State Dependent ◽  
Non Linear ◽  
State Analysis

Models and analytical techniques are developed to evaluate the performance of two variations of single buffers (conventional and buffer relaxation system) multiple queues system. In the conventional system, each queue can have at most one customer at any time and newly arriving customers find the buffer full are lost. In the buffer relaxation system, the queue being served may have two customers, while each of the other queues may have at most one customer. Thomas Y.S. Lee developed a state-dependent non-linear model of uncertainty for analyzing a random polling system with server breakdown/repair, multi-phase service, correlated input processes, and single buffers. The state-dependent non-linear model of uncertainty introduced in this paper allows us to incorporate correlated arrival processes where the customer arrival rate depends on the location of the server and/or the server's mode of operation into the polling model. The author allows the possibility that the server is unreliable. Specifically, when the server visits a queue, Lee assumes that the system is subject to two types of failures: queue-dependent, and general. General failures are observed upon server arrival at a queue. But there are two possibilities that a queue-dependent breakdown (if occurs) can be observed; (i) is observed immediately when it occurs and (ii) is observed only at the end of the current service. In both cases, a repair process is initiated immediately after the queue-dependent breakdown is observed. The author's model allows the possibility of the server breakdowns/repair process to be non-stationary in the number of breakdowns/repairs to reflect that breakdowns/repairs or customer processing may be progressively easier or harder, or that they follow a more general learning curve. Thomas Y.S. Lee will show that his model encompasses a variety of examples. He was able to perform both transient and steady state analysis. The steady state analysis allows us to compute several performance measures including the average customer waiting time, loss probability, throughput and mean cycle time.

Effects of Suspension Design on the Attitudes of a Car during Braking and Acceleration

1973 ◽  
Vol 187 (1) ◽  
pp. 787-794
Author(s):  
J. R. Ellis
Keyword(s):  
Steady State ◽  
Linear Systems ◽  
Degrees Of Freedom ◽  
Coupled Systems ◽  
Two Degrees Of Freedom ◽  
Simulation Techniques ◽  
Non Linear ◽  
Non Linear Systems ◽  
Effort Distribution

Two degrees of freedom models of a car are employed to demonstrate the effects of the suspension derivative ∂ x/∂ z on the pitch and bounce attitudes during braking or accelerating. The work equation is employed to show that brake effort distribution between the axles has a significant effect on the attitudes when anti-dive suspension characteristics are utilized. The steady-state positions in both pitch and bounce are developed for linear systems of typical suspensions that may be either standard or coupled systems. Non-linear systems are considered using simulation techniques. A description of some simulation circuits is contained in an appendix.

A method of approximate steady-state analysis for non-linear networks

1953 ◽  
Vol 1953 (9) ◽  
pp. 298-299 ◽  
Author(s):  
G.R. Slemon
Keyword(s):  
Steady State ◽  
Steady State Analysis ◽  
Linear Networks ◽  
Non Linear ◽  
State Analysis

Describing functions in non-linear systems with structured and unstructured uncertainties

2001 ◽  
Vol 74 (6) ◽  
pp. 600-608 ◽  
Author(s):  
Serkan T. Impram ◽  
Neil Munro
Keyword(s):  
Linear Systems ◽  
Describing Functions ◽  
Non Linear ◽  
Non Linear Systems

A method of approximate steady-state analysis for non-linear networks

1953 ◽  
Vol 100 (125) ◽  
pp. 275-287 ◽  
Author(s):  
G.R. Slemon ◽  
G.H. Rawcliffe
Keyword(s):  
Steady State ◽  
Steady State Analysis ◽  
Linear Networks ◽  
Non Linear ◽  
State Analysis

A method of calculation of steady state oscillations in autonomous non-linear systems

1990 ◽  
Vol 136 (1) ◽  
pp. 35-44 ◽  
Author(s):  
S.S. Qiu ◽  
I.M. Filanovsky
Keyword(s):  
Steady State ◽  
Linear Systems ◽  
Method Of Calculation ◽  
Non Linear ◽  
Non Linear Systems
Sign in / Sign up

Export Citation Format

Share Document