scholarly journals Additive Mixed Sensitivity Design of PID Controllers for Continuous-Time System with Uncertain Time-Delay

2021 ◽  
Vol 20 ◽  
pp. 303-311
Author(s):  
Tooran Emami
Keyword(s):  
Time Delay ◽  
Continuous Time ◽  
Time Delays ◽  
Dc Motor ◽  
Internal Communication ◽  
Pid Controllers ◽  
Time System ◽  
Communication Time ◽  
Uncertain Time ◽  
Continuous Time System

This paper presents an algorithm for all achievable coefficients of Proportional Integral Derivative (PID) controllers in an integral-derivative plane that stabilizes and satisfies additive mixed sensitivity constraint with an uncertain time delay for a continuous-time system. This algorithm solves the singularity problem of designing PID controllers in the integral and derivative plane and estimates achievable ranges of proportional gain of the PID controllers. A numerical cascaded ball and beam with unity feedback control of an SRV-DC motor and uncertain communication time delays in the system process demonstrate the application of this methodology. In this application, the additive weight bounds the additive errors for the cascaded ball and beam and the closed-loop SRV-DC motor system transfer function with the internal communication time delays

Mixed Sensitivity Design of PID Controller-Applied to a Ball and Beam System

2017 ◽  
Author(s):  
Tooran Emami
Keyword(s):  
Pid Controller ◽  
Time Delays ◽  
Uncertainty Modeling ◽  
Pid Controllers ◽  
Perturbed System ◽  
Beam System ◽  
Communication Time ◽  
Uncertain Time ◽  
System Transfer Function ◽  
Ball And Beam System

This paper presents a set of algorithm for all achievable coefficients of Proportional Integral Derivative (PID) controllers that stabilize the system and satisfy a mixed sensitivity constraint with an uncertain time delay. Additive uncertainty modeling is used to describe the uncertainty of perturbed system. Additive uncertainty modeling performs much faster response with the time running of computer programming in MATLAB. This technique is applied to a ball and beam system transfer function with the assumption of uncertain communication time delays in the system process. The goal of this application is to regulate a ball position on a beam and also satisfy the mixed sensitivity constraint.

scholarly journals Optimal Digital Redesign of a Cascaded Continuous-Time System with Input Time Delays.

1998 ◽  
Vol 41 (3) ◽  
pp. 421-429
Author(s):  
Sheng-Hong TSAI Jason ◽  
CHANG Yu-Pin ◽  
SHIEH Leang-San
Keyword(s):  
Continuous Time ◽  
Time Delays ◽  
Time System ◽  
Digital Redesign ◽  
Input Time ◽  
Continuous Time System

Stability of real-time hybrid simulation involving time-varying delay and direct integration algorithms

2021 ◽  
pp. 107754632110016
Author(s):  
Liang Huang ◽  
Cheng Chen ◽  
Shenjiang Huang ◽  
Jingfeng Wang
Keyword(s):  
Real Time ◽  
Discrete Time ◽  
Continuous Time ◽  
Hybrid Simulation ◽  
Time Varying ◽  
Discrete Time System ◽  
Time System ◽  
Integration Algorithms ◽  
The Stability ◽  
Continuous Time System

Stability presents a critical issue for real-time hybrid simulation. Actuator delay might destabilize the real-time test without proper compensation. Previous research often assumed real-time hybrid simulation as a continuous-time system; however, it is more appropriately treated as a discrete-time system because of application of digital devices and integration algorithms. By using the Lyapunov–Krasovskii theory, this study explores the convoluted effect of integration algorithms and actuator delay on the stability of real-time hybrid simulation. Both theoretical and numerical analysis results demonstrate that (1) the direct integration algorithm is preferably used for real-time hybrid simulation because of its computational efficiency; (2) the stability analysis of real-time hybrid simulation highly depends on actuator delay models, and the actuator model that accounts for time-varying characteristic will lead to more conservative stability; and (3) the integration step is constrained by the algorithm and structural frequencies. Moreover, when the step is small, the stability of the discrete-time system will approach that of the corresponding continuous-time system. The study establishes a bridge between continuous- and discrete-time systems for stability analysis of real-time hybrid simulation.

An Exact Discrete Analog to a Closed Linear First-Order Continuous-Time System with Mixed Sample

1987 ◽  
Vol 3 (1) ◽  
pp. 143-149 ◽  
Author(s):  
Terence D. Agbeyegbe
Keyword(s):  
Continuous Time ◽  
Discrete Model ◽  
Moving Average ◽  
Discrete Analog ◽  
Time System ◽  
First Order ◽  
Exact Discrete Model ◽  
Asymptotically Efficient ◽  
Order Continuous ◽  
Continuous Time System

This article deals with the derivation of the exact discrete model that corresponds to a closed linear first-order continuous-time system with mixed stock and flow data. This exact discrete model is (under appropriate additional conditions) a stationary autoregressive moving average time series model and may allow one to obtain asymptotically efficient estimators of the parameters describing the continuous-time system.

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