Comparative analysis of sliding mode and Volterra model predictive controllers applied to a benchmark CSTR non-minimum phase reactor

Author(s):  
W. Garcia-Gabin ◽  
F. Dorado ◽  
C. Bordons
Author(s):  
Elyse Hill ◽  
S. Andrew Gadsden ◽  
Mohammad Biglarbegian

Abstract This paper presents a robust, tube-based nonlinear model predictive controller for continuous-time systems with additive disturbances which cascades two sampled-data model predictive controllers: the first creates a desired path using nominal dynamics and the second maintains the true state close to the nominal state by regulating a sliding variable designed on the error between the true and nominal states. The sampled-data model predictive approach permits easy incorporation of continuous-time sliding mode dynamics, allowing a dynamic boundary layer and tube design to be included. In this way, the control applied to the system capitalizes on the robustness properties of traditional sliding mode control while incorporating system constraints. Stability analysis is presented in the context of input-to-state stability for continuous-time systems. The proposed controller is implemented on two case studies, is compared to benchmark tube-based model predictive controllers, and is evaluated using average root mean square values on the state and input variables, in addition to average integral square and integral absolute error values on the position states. Results reveal the proposed technique responds to higher levels of disturbance with significant increases in control effort; eliminates constraint violation by using of constrained SMC as the secondary controller; and maintains similar tracking performance to benchmark controllers at lower levels of control effort.


2018 ◽  
Vol 40 (8) ◽  
pp. 2488-2497 ◽  
Author(s):  
Bedri Bahtiyar ◽  
Meriç Çetin ◽  
Selami Beyhan ◽  
Serdar İplikçi

In this paper, a discretization-based sliding mode observer (DBSMO) is proposed for the state and parameter estimation of nonlinear systems. In the DBSMO structure, an accurate discretized dynamics are derived for the state and parameter update of the sliding mode observer (SMO) instead of integration-based state update. In this way, faster converging observer dynamics are obtained. The stability properties of the conventional SMO remain the same for DBSMO. In the application presented here, first a real-time DC/DC power converter is designed with a computer interface. Then, to show the enhancement of convergence properties, conventional SMO and DBSMO-based model predictive controllers are designed and applied to control of the DC/DC power converter. Through simulation and experimental results, it is shown that the estimation performance of SMO is greatly improved so that the tracking performance is also increased, which are the main contributions of the paper.


2007 ◽  
Vol 15 (1) ◽  
pp. 191-197 ◽  
Author(s):  
Tor A. Johansen ◽  
Warren Jackson ◽  
Robert Schreiber ◽  
Petter Tondel

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