Implicit control law for linear time varying SISO systems with bounded disturbances

2002 ◽  
Author(s):  
M.B. Estrada ◽  
S.P. Manjarres
Keyword(s):  
Linear Time ◽  
Control Law ◽  
Time Varying ◽  
Bounded Disturbances ◽  
Siso Systems

Singularly perturbed implicit control law for linear time varying SISO systems

2013 ◽  
Vol 24 (10) ◽  
pp. 1530-1549 ◽  
Author(s):  
S. Puga ◽  
M. Bonilla ◽  
M. Malabre ◽  
R. Lozano
Keyword(s):  
Linear Time ◽  
Singularly Perturbed ◽  
Control Law ◽  
Time Varying ◽  
Siso Systems

scholarly journals Analytical Fuzzy Predictive Control Applied to Wastewater Treatment Biological Processes

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-29 ◽  
Author(s):  
Pedro M. Vallejo LLamas ◽  
Pastora Vega
Keyword(s):  
Wastewater Treatment ◽  
Predictive Control ◽  
Treatment Process ◽  
Linear Time ◽  
Real Data ◽  
Control Law ◽  
Time Varying ◽  
Wastewater Treatment Process ◽  
Starting Point ◽  
Fuzzy Predictive Control

A novel control fuzzy predictive control law is proposed and successfully applied to a wastewater treatment process in this paper. The proposed control law allows us to evaluate the control signal in an analytical way, each sampling time being a nonlinear and fuzzy alternative to other classic predictive controllers. The control law is based on the formalization of the internal fuzzy predictive model of the process as linear time-varying state space equations that are updated every discrete time instant to take into account the nonlinearity effects due to disturbance action and changes in the operating point with time. The model is then used to evaluate the predictions, and, taking them as a starting point and considering them as a paradigm of the predictive functional control strategy, a control law, it is derived in an analytical and explicit way by imposing on the outputs of the follow-up of certain reference trajectories previously established. The work presented here addresses the application of this particular strategy of intelligent predictive control to the case of an activated sludge wastewater treatment process successfully in a simulation environment of a real plant taking into account real data for the disturbance records. Such a process is multivariable, nonlinear, time varying, and difficult to control due to its biological nature. The proposed control law can be straightforwardly used within a dual-mode MPC scheme to handle constraints, as a nonlinear and fuzzy alternative to the classic state feedback control law.

Implicit Control for Linear Time Varying SISO Systems (Without Finite Zeros)

1995 ◽  
Vol 28 (8) ◽  
pp. 289-294
Author(s):  
Moisés Bonilla Estrada ◽  
René Galindo Orozco ◽  
Sergio Salazar Cruz
Keyword(s):  
Linear Time ◽  
Time Varying ◽  
Siso Systems

Quasi-Optimum Control of a Flexible Booster

1967 ◽  
Vol 89 (2) ◽  
pp. 273-282 ◽  
Author(s):  
V. Cohen ◽  
B. Friedland
Keyword(s):  
Rigid Body ◽  
Linear Time ◽  
Bending Moment ◽  
Performance Criterion ◽  
Control Law ◽  
Time Varying ◽  
Bending Moments ◽  
Optimum Control ◽  
Satisfactory Performance ◽  
Structural Loading

The problem of minimizing both the in-flight bending moments as well as the terminal drift of a flexible vehicle is considered. The performance criterion V(T)=12y2(T)+k¯2∫tTM2(ξ)dξ, where y(T) is the drift, and M is the in-flight bending moment, is selected to achieve a compromise between excessive drift and excessive structural loading. The two-point boundary value problem for the design of the rigid-body control system is solved analytically for the linear, time-varying optimum control law. The flexibility of the vehicle is then accounted for, in a model consisting of two rigid sections hinged together with a torsional spring, by augmenting the rigid-body optimum control law with feedback terms proportional to the vehicle flexure and its rate. The results of a digital computer simulation indicate that the quasi-optimum control law obtained by this technique results in satisfactory performance, while the rigid-body control law is inadequate for a vehicle of moderate flexibility.

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