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2007 AIChE Annual Meeting

作者： Tiwari, Pradeep Y. Kothare, Mayuresh V. Chemical Process Modeling and Control Center Department of Chemical Engineering Lehigh University Bethlehem PA 18015 United States

ISBN: (纸本)9780816910229

Cyclic processes can be characterized by two time variables, viz, the time within a cycle and the cycle index, each carrying a distinct connotation of time. Conventional optimal control theory does not explicitly account for these two dimensions (2D) of time that characterize cyclic systems. In this paper, we study the control of cyclic process using Model Predictive control (MPC). The proposed approach uses a 2D Lyapunov function and the stability requirements are established along each time dimension of the system. The resulting controller synthesis problem is expressed in convex form using Linear Matrix Inequalities (LMIs). The approach allows incorporation of input/output constraints in the proposed 2D MPC framework. An example of a cyclic process is presented to establish the applicability of the proposed approach.

关键词： Model predictive control

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Multivariable Anti-Windup controller Synthesis incorporating Multiple Convex Constraints

Multivariable Anti-Windup Controller Synthesis incorporating...

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American control Conference (ACC)

作者： Pradeep Y. Tiwari Eric F. Mulder Mayuresh V. Kothare Chemical Process Modeling and Control Center Department of Chemical Engineering Lehigh University Bethlehem PA USA Exxon-Mobil Chemical Baytown TX USA

We study the problem of multivariable anti-windup controller synthesis that incorporates trade-offs between unconstrained linear performance and constrained anti- windup performance. In our previous work [13], we presented a framework for simultaneous design of a linear output feedback controller and a static anti-windup compensator using Linear Matrix Inequalities (LMIs). This framework deviated from the conventional two step paradigm of anti-windup by proposing a one-step synthesis while still maintaining the anti-windup structure. However, the work in [13] did not provide conclusive demonstration of the efficacy of this formulation through realistic practical examples. In this paper, we further study the framework in [13] and explicitly demonstrate its capability in providing effective constrained anti-windup controller performance for two benchmark problems, viz. a vibration isolation table and a multivariable model for the longitudinal dynamics of an F8 aircraft.

关键词： chemical processes chemical engineering Aircraft Design methodology process control Cities and towns Output feedback Linear feedback control systems Linear matrix inequalities Vibration control

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Robust synthesis of constrained linear state feedback using LMIs and polyhedral invariant sets

Robust synthesis of constrained linear state feedback using ...

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American control Conference (ACC)

作者： B. Pluymers M.V. Kothare J.A.K. Suykens B. De Moor Department of Electrical Engineering ESAT-SCD-SISTA Katholieke Universiteit Leuven Belgium Chemical Process Modeling and Control Research Center Lehigh University Bethlehem PA USA

This paper deals with the synthesis of linear feedback controllers for constrained discrete-time linear systems with polytopic uncertainty description. This problem was initially tackled using ellipsoidal robust invariant sets in the paper by Kothare (Kothare et al., Automatica, 1996) leading to an LMI-based optimization problem. The contribution of this paper is twofold. First the aforementioned method is extended to also take into account mixed state/input constraints and cross-terms between states and inputs in the objective function. Secondly, polyhedral invariant sets (Pluymers et al., ACC, 2005) are introduced in the synthesis algorithm in order to eliminate conservative constraint handling. This results in a provably more optimal feedback controller. The resulting method can either be used on-line in a receding horizon fashion to obtain a robust constrained controller or off-line in order to obtain a feedback controller with a guaranteed feasible region for use in dual-mode or other robust model-based predictive control algorithms. A numerical example is given to illustrate the new algorithm

关键词： Robustness State feedback Adaptive control control system synthesis Robust control Linear systems Uncertainty Predictive models Predictive control Prediction algorithms

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Static anti-windup controller synthesis using simultaneous convex design

Static anti-windup controller synthesis using simultaneous c...

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05AIChE: 2005 AIChE Annual Meeting and Fall Showcase

作者： Tiwari, Pradeep Y. Mulder, Eric F. Kotharel, Mayuresh V. Chemical Process Modeling and Control Center Department of Chemical Engineering Lehigh University Bethlehem PA 18015 United States ExxonMobil Chemical 5000 Bayway Drive Baytown TX 77520

We present a method for the synthesis of a control law which incorporates both a traditional linear output-feedback controller as well as a static anti-windup compensator. Unlike traditional anti-windup controller design in which the linear controller and anti-windup compensator are designed sequentially, our method synthesizes all controller parameters simultaneously, thus providing a priori account of the effects of saturation on the closed-loop dynamics. Moreover, we derive sufficient conditions for the quadratic stability and (possibly) multiple performance bounds on the closed-loop dynamics such that the entire synthesis is cast as an optimization problem over linear matrix inequalitics (LMIs).

关键词： Feedback control

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A framework for design of scheduled output feedback model predictive control 7th

A framework for design of scheduled output feedback model pr...

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7th International Symposium on Advanced control of chemical processes, ADCHEM 2003

作者： Wan, Zhaoyang Kothare, Mayuresh V. Chemical Process Modeling and Control Research Center Department of Chemical Engineering Lehigh University BethlehemPA18015 United States

We present a stabilizing scheduled output feedback Model Predictive control (MPC) algorithm for constrained nonlinear systems with large operating regions. We design a set of local output feedback predictive controllers with their estimated regions of stability covering the desired operating region, and implement them as a single scheduled output feedback MPC which on-line switches between the set of local controllers and achieves nonlinear transitions with guaranteed stability. This algorithm provides a general framework for scheduled output feedback MPC design. Copyright © IFAC 2003

关键词： Model predictive control

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A Framework for Design of Scheduled Output Feedback Model Predictive control

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IFAC Proceedings Volumes 2004年第1期37卷 71-76页

作者： Zhaoyang Wan Mayuresh V. Kothare Chemical Process Modeling and Control Research Center Department of Chemical Engineering Lehigh University Bethlehem PA 18015

We present a stabilizing scheduled output feedback Model Predictive control (MPC) algorithm for constrained nonlinear systems with large operating regions. We design a set of local output feedback predictive controllers with their estimated regions of stability covering the desired operating region, and implement them as a single scheduled output feedback MPC which on-line switches between the set of local controllers and achieves nonliilear transitions with guaranteed stability. This algorithm provides a general framework for scheduled output feedback MPC design.

关键词： Model predictive control constrained nonlinear systems output feedback scheduling linear matrix inequalities

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Performance assessment of constrained controllers 7th

Performance assessment of constrained controllers

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7th International Symposium on Advanced control of chemical processes, ADCHEM 2003

作者： Huang, Lilong Georgakis, Christos Chemical Process Modeling and Control Research Center Department of Chemical Engineering Lehigh University BethlehemPA18015 United States Department of Chemical Engineering Chemistry and Material Science 728 Rogers Hall Polytechnic University Six Metrotech Center BrooklynNY11201 United States

The paper presents a new deterministic framework for assessing constrained control loop performance. The proposed dynamic performance index is based on the dynamic operating work of Uztiirk and Georgakis (2002). It focuses on the time related characteristics of controllers' response to set-point changes or step-type disturbances. It explicitly takes into account the existence of constraints on manipulated variables. These constraints include minimum and maximum values as well as an upper limit on the rate of change of the input variables. © IFAC 2003

关键词： controllers

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Performance Assessment of Constrained controllers

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IFAC Proceedings Volumes 2004年第1期37卷 185-190页

作者： Lilong Huang Christos Georgakis Chemical Process Modeling and Control Research Center and Department of Chemical Engineering Lehigh University Bethlehem Pennsylvania 18015 Department of Chemical Engineering Chemistry and Material Science 728 Rogers Hall Polytechnic University Six Metrotech Center Brooklyn NY 11201 USA Phone: (718) 260- 3579 Fax: (718) 260-3125

The paper presents a new deterministic framework for assessing constrained control loop performance. The proposed dynamic performance index is based on the dynamic operating work of Uztürk and Georgakis (2002). It focuses on the time related characteristics of controllers' response to set-point changes or steptype disturbances. It explicitly takes into account the existence of constraints on manipulated variables. These constraints include minimum and maximum values as well as an upper limit on the rate of change of the input variables.

关键词： Constrained controller Performance Assessment Time Optimal control Minimum Settling Time Deterministic Disturbances

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Computationally efficient scheduled model predictive control for constrained nonlinear systems with stability guarantees

Computationally efficient scheduled model predictive control...

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American control Conference (ACC)

作者： Zhaoyang Wan M.V. Kothare Department of Chemical Engineering Chemical Process Modeling and Control Research Center Lehigh Universit Bethlehem PA USA Department of Chemical Engineering Lehigh University Bethlehem PA U.S.A Lehigh University Bethlehem PA US Dept. of Chem. Eng. Lehigh Univ. Bethlehem PA USA

We present a computationally efficient scheduled formulation of model predictive control (MPC) for constrained nonlinear systems with large operating regions. We design a set of local predictive controllers with their explicit regions of stability covering the desired operating region, and implement them as a single scheduled MPC which switches between the set of local controllers and achieves nonlinear transitions with guaranteed stability. This algorithm is computationally efficient and provides a general framework for scheduled MPC design.

关键词： processor scheduling Computational modeling Predictive models Predictive control Nonlinear systems Robust stability Nonlinear control systems control systems Switches Robust control

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Nonlinear model predictive control of end-use properties in batch reactors under uncertainty 6

Nonlinear model predictive control of end-use properties in ...

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6th European control Conference, ECC 2001

作者： Valappil, Jaleel Georgakis, Christos Chemical Process Modeling and Control Research Center Department of Chemical Engineering Lehigh Univeristy BethlehemPA18015 United States

ISBN: (纸本)9783952417362

There are significant incentives in controlling the end-use properties in batch reactors to reduce the variability in the final product quality specifications. Here we define an approach for controlling the properties within a desired target region, instead of a set point, with an economic objective and with consideration of the model uncertainty. The approach to handling process-model mismatch is based on determining the uncertainty in the predicted final values of the properties, in the form of elliptical confidence regions. The controller then ensures that the complete confidence region is within the target set. A semi-infinite programming problem is solved to find the input values for the rest of the batch, utilizing techniques that reduce the complexity of the problem. An emulsion polymerization process for styrene is chosen as a case study and the methods developed here are demonstrated on this challenging example process. © 2001 EUCA.

关键词： Batch reactors

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