Robust model predictive control with ℓ1-gain performance for positive systems

[1]  Pham Huu Anh Ngoc.  Stability of Positive Differential Systems With Delay , 2013, IEEE Transactions on Automatic Control.

[2]  Hongye Su,et al.  An improved model predictive control for uncertain systems with input saturation , 2013, J. Frankl. Inst..

[3]  Yu-Geng Xi,et al.  Design of Robust Model Predictive Control Based on Multi-step Control Set , 2009 .

[4]  Shaoyuan Li,et al.  A synthesis approach of on-line constrained robust model predictive control , 2004, Autom..

[5]  Xingwen Liu,et al.  Constrained Control of Positive Systems with Delays , 2009, IEEE Transactions on Automatic Control.

[6]  Dewei Li,et al.  The Feedback Robust MPC for LPV Systems With Bounded Rates of Parameter Changes , 2010, IEEE Transactions on Automatic Control.

[7]  Bjarne A. Foss,et al.  More efficient predictive control , 2005, Autom..

[8]  Zhengzhi Han,et al.  Stochastic stability and stabilization of positive systems with Markovian jump parameters , 2014 .

[9]  T. Kaczorek.  Positive 1D and 2D Systems , 2001 .

[10]  Marko Bacic,et al.  Model predictive control , 2003 .

[11]  Ahmed El Hajjaji,et al.  Stabilization of positive Takagi-Sugeno fuzzy discrete-time systems with multiple delays and bounded controls , 2014, J. Frankl. Inst..

[12]  I.M. Jaimoukha,et al.  Model Predictive Control based on Mixed H2/H Control Approach , 2007, 2007 American Control Conference.

[13]  Manfred Morari,et al.  An improved approach for constrained robust model predictive control , 2002, Autom..

[14]  Moritz Diehl,et al.  A Lyapunov Function for Economic Optimizing Model Predictive Control , 2011, IEEE Transactions on Automatic Control.

[15]  F. Fairman.  Introduction to dynamic systems: Theory, models and applications , 1979, Proceedings of the IEEE.

[16]  P. Coxson,et al.  Positive Input Reachability And Controllability Of Positive Systems , 1987 .

[17]  Lorenzo Fagiano,et al.  Generalized terminal state constraint for model predictive control , 2012, Autom..

[18]  Hamid Reza Feyzmahdavian,et al.  Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays , 2013, IEEE Transactions on Automatic Control.

[19]  I. Bronšteǐn,et al.  Chain recurrence in dynamical systems without uniqueness , 1988 .

[20]  S. Rinaldi,et al.  Equilibria, stability and reachability of Leslie systems with nonnegative inputs , 1990 .

[21]  Manfred Morari,et al.  Robust constrained model predictive control using linear matrix inequalities , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[22]  J. Maciejowski,et al.  Feedback min‐max model predictive control using a single linear program: robust stability and the explicit solution , 2004 .

[23]  Robert Shorten,et al.  On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems , 2007, IEEE Transactions on Automatic Control.

[24]  Zhang Junfeng,et al.  Stability and stabilization of positive switched systems , 2013, Proceedings of the 32nd Chinese Control Conference.

[25]  A.M. Gonzalez,et al.  Modeling and forecasting electricity prices with input/output hidden Markov models , 2005, IEEE Transactions on Power Systems.

[26]  Li De.  Design of Robust Model Predictive Control Based on Multi-step Control Set , 2009 .

[27]  Patience Ebehiremen Orukpe.  Towards a less conservative model predictive control based on mixed ℋ2/ℋ ∞ control approach , 2011, Int. J. Control.

[28]  Long Wang,et al.  Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays , 2010, IEEE Transactions on Automatic Control.

[29]  Jing Zhang,et al.  Robust moving horizon estimation based output feedback economic model predictive control , 2014, Syst. Control. Lett..

[30]  Moritz Diehl,et al.  Robust dynamic programming for min-max model predictive control of constrained uncertain systems , 2004, IEEE Transactions on Automatic Control.

[31]  Hong Chen,et al.  Model predictive control of constrained LPV systems , 2012, Int. J. Control.

[32]  Manfred Morari,et al.  Model predictive control: Theory and practice - A survey , 1989, Autom..

[33]  Uwe Helmke,et al.  Positive observers for linear positive systems, and their implications , 2011, Int. J. Control.

[34]  F. Tadeo,et al.  Controller Synthesis for Positive Linear Systems With Bounded Controls , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[35]  F. Tadeo,et al.  Control of constrained positive discrete systems , 2007, 2007 American Control Conference.

[36]  James Lam,et al.  L∞-gain analysis for positive systems with distributed delays , 2014, Autom..

[37]  James Lam,et al.  $H_{\infty}$ Positive Filtering for Positive Linear Discrete-Time Systems: An Augmentation Approach , 2010, IEEE Transactions on Automatic Control.

[38]  Y. Ohta,et al.  Reachability, Observability, and Realizability of Continuous-Time Positive Systems , 1984 .

[39]  W. Haddad,et al.  Stability and dissipativity theory for discrete-time non-negative and compartmental dynamical systems , 2003 .

[40]  J. Lam,et al.  Positive state‐bounding observer for positive interval continuous‐time systems with time delay , 2012 .

[41]  Robert Shorten,et al.  On the Stability of Switched Positive Linear Systems , 2007, IEEE Transactions on Automatic Control.

[42]  James Lam,et al.  Positive filtering for continuous-time positive systems under L1 performance , 2014, Int. J. Control.

[43]  Guangming Xie,et al.  Reachability and Controllability of Positive Linear Discrete-time Systems with Time-delays , 2003, POSTA.

[44]  Ali Akbar Safavi,et al.  Decentralized fault tolerant model predictive control of discrete-time interconnected nonlinear systems , 2014, J. Frankl. Inst..

[45]  Basil Kouvaritakis,et al.  Efficient robust predictive control , 2000, IEEE Trans. Autom. Control..

[46]  W. Haddad,et al.  Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems , 2005 .

[47]  Fabian R. Wirth,et al.  A positive systems model of TCP-like congestion control: asymptotic results , 2006, IEEE/ACM Transactions on Networking.