scholarly journals STABILITY ANALYSIS FOR GENERALIZED PREDICTIVE CONTROL (GPC) WITH UNCERTAIN SYSTEMS

2006 ◽  
Vol 34 (2) ◽  
pp. 539-555
Author(s):  
Hesham W. Gomma, MIEEE
Keyword(s):  
Stability Analysis ◽  
Predictive Control ◽  
Uncertain Systems ◽  
Generalized Predictive Control

scholarly journals ANÁLISE EM MALHA FECHADA DO CONTROLADOR GENERALIZED PREDICTIVE CONTROL (GPC)

2009 ◽  
Vol 3 ◽  
pp. 119 ◽  
Author(s):  
Anderson Luiz Cavalcanti
Keyword(s):  
Stability Analysis ◽  
Predictive Control ◽  
Robust Stability ◽  
Closed Loop ◽  
Generalized Predictive Control ◽  
Loop Analysis ◽  
Closed Loop Systems ◽  
Robust Stability Analysis ◽  
Predictive Controller ◽  
Simulation Results

RESUMO O presente trabalho tem o objetivo de apresentar uma análise em malha fechada do controlador Generalized Predictive Control (GPC). Esta análise visa observar, com detalhes, as características deste tipo de controlador. Os detalhes apresentados são de extrema importância na análise de estabilidade robusta. Alguns resultados de simulação são apresentados. PALAVRAS-CHAVE: Controle preditivo, sistemas em malha fechada. CLOSED-LOOP ANALYSIS OF GENERALIZED PREDICTIVE CONTROL (GPC) ABSTRACT This paper presents a closed loop analysys of Generalized Predictive Control GPC. This analysis observes, in details, the features of this kind of predictive controller The details showed are very important in robust stability analysis. Simulation results are shown. KEY-WORDS: Predictive control, closed-loop systems.

scholarly journals Improved Robustness of Generalized Predictive Control for Uncertain Systems

2015 ◽  
Vol 65 (6) ◽  
pp. 349-355 ◽  
Author(s):  
Khelifi Otmane Khelifa ◽  
Bali Noureddine ◽  
Nezli Lazhari
Keyword(s):  
Convex Optimization ◽  
Quadratic Programming ◽  
Predictive Control ◽  
Stability Condition ◽  
Uncertain Systems ◽  
Optimization Problem ◽  
Generalized Predictive Control ◽  
Stability Robustness ◽  
Polytopic Uncertainties ◽  
Quadratically Constrained

Abstract An off-line methodology has been developed to improve the robustness of an initial generalized predictive control (GPC) through convex optimization of the Youla parameter. However, this method is restricted with the case of the systems affected only by unstructured uncertainties. This paper proposes an extension of this method to the systems subjected to both unstructured and polytopic uncertainties. The basic idea consists in adding supplementary constraints to the optimization problem which validates the Lipatov stability condition at each vertex of the polytope. These polytopic uncertainties impose a non convex quadratically constrained quadratic programming (QCQP) problem. Based on semidefinite programming (SDP), this problem is relaxed and solved. Therefore, the robustification provides stability robustness towards unstructured uncertainties for the nominal system, while guaranteeing stability properties over a specified polytopic domain of uncertainties. Finally, we present a numerical example to demonstrate the proposed method.

scholarly journals Off-line robustification of Generalized Predictive Control for uncertain systems

2014 ◽  
Vol 24 (4) ◽  
pp. 499-513 ◽  
Author(s):  
Khelifa Khelifi Otmane ◽  
Nordine Bali ◽  
Lazhari Nezli
Keyword(s):  
Predictive Control ◽  
Uncertain Systems ◽  
Optimization Problem ◽  
Main Idea ◽  
Optimal Solution ◽  
Generalized Predictive Control ◽  
Quadratic Constraints ◽  
Stability Robustness ◽  
Convex Quadratic Constraints ◽  
Polytopic Uncertainties

Abstract An off-line methodology was proposed for enhancing the robustness of an initial Generalized Predictive Control (GPC) by convex optimization of the Youla parameter. However, this procedure of robustification is restricted with the case of the systems affected only by unstructured uncertainties. This paper proposes an extension of this method to the systems subjected to both unstructured and structured polytopic uncertainties. The main idea consists in adding supplementary constraints to the optimization problem which validates the Lipatov stability condition at each vertex of the polytope. These polytopic uncertainties impose a set of non convex quadratic constraints. The globally optimal solution is found by means of the GloptiPoly3 software. Therefore, this robustification provides stability robustness towards unstructured uncertainties for the nominal system, while guaranteeing stability properties over a specified polytopic domain of uncertainties. Finally, an illustrative example is given

scholarly journals Design and Stability Analysis of Uncertain Networked Predictive Control Systems with Multiple Forward Channels

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Hongbo Song
Keyword(s):  
Stability Analysis ◽  
Control Systems ◽  
Predictive Control ◽  
Uncertain Systems ◽  
Closed Loop ◽  
Control Performance ◽  
Selection Scheme ◽  
Signal Selection ◽  
Networked Predictive Control ◽  
The Stability

This paper is concerned with the design and stability of networked predictive control for uncertain systems with multiple forward channels. The delays and packet dropouts are distributed such that the classic networked predictive control (NPC) needs modifications to be implemented. An improved control signal selection scheme with distributed prediction length is proposed to increase the prediction accuracy and hence achieve better control performance. Moreover, stability analysis results are obtained for both constant and random cases. Interestingly, it is shown that the stability of the closed-loop NPC system is not related to the distributed delays when they are constant and the system model is accurate. Finally, a two-axis milling machine example is given to illustrate the effectiveness of the proposed method.

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