A distributed control algorithm for internal flow management in a multi-zone climate unit

We examine a distributed control problem for internal flow management in a multi-zone climate unit. The problem consists of guaranteeing prescribed indoor climate conditions in a cascade connection of an arbitrarily large number of communicating zones, in which air masses are exchanged to redirect warm air from hot zones (which need to be cooled down) to cold zones (which need to be heated up), and to draw as much fresh air as possible to hot zones, relying on the ventilation capacity of neighbouring “collaborative” zones. The controller of each zone must be designed so as to achieve the prescribed climate condition, while fulfilling the constraints imposed by the neighbouring zones—due to their willingness to cooperate or not in the air exchange—and the conservation of flow, and despite the action of unknown disturbances. We devise control laws which yield hybrid closed-loop systems, depend on local feedback information, take on values in a finite discrete set, and cooperate with neighbour controllers to achieve different compatible control objectives, while avoiding conflicts.

[1]  K Janssens,et al.  Modeling the internal dynamics of energy and mass transfer in an imperfectly mixed ventilated airspace. , 2004, Indoor air.

[2]  Sekhar Tatikonda,et al.  Control under communication constraints , 2004, IEEE Transactions on Automatic Control.

[3]  John Lygeros,et al.  Controllers for reachability specifications for hybrid systems , 1999, Autom..

[4]  Gn Nair,et al.  Achievable rate regions for decentralised stabilisation , 2004 .

[5]  Sandro Zampieri,et al.  Stability analysis and synthesis for scalar linear systems with a quantized feedback , 2003, IEEE Trans. Autom. Control..

[6]  Konstantinos G. Arvanitis,et al.  Non-linear Adaptive Temperature and Humidity Control in Animal Buildings , 2006 .

[7]  Karl Henrik Johansson,et al.  ON QUANTIZATION AND COMMUNICATION TOPOLOGIES IN MULTI-VEHICLE RENDEZVOUS , 2005 .

[8]  A. Van Brecht,et al.  Control of the 3-D spatio-temporal distribution of air temperature , 2005 .

[9]  J. Hedrick,et al.  String stability of interconnected systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[10]  Daniel Berckmans,et al.  Proportional-integral-plus (PIP) control of ventilation rate in agricultural buildings , 2004 .

[11]  Robin J. Evans,et al.  Topological feedback entropy and Nonlinear stabilization , 2004, IEEE Transactions on Automatic Control.

[12]  Manfredi Maggiore,et al.  Necessary and sufficient graphical conditions for formation control of unicycles , 2005, IEEE Transactions on Automatic Control.

[13]  João Pedro Hespanha,et al.  Stabilization of nonlinear systems with limited information feedback , 2005, IEEE Transactions on Automatic Control.

[14]  Kevin M. Passino,et al.  Stability analysis of swarms , 2003, IEEE Trans. Autom. Control..

[15]  Bruce A. Francis,et al.  Stabilizing a linear system by switching control with dwell time , 2002, IEEE Trans. Autom. Control..

[16]  K.M. Passino,et al.  Experiments for dynamic resource allocation, scheduling, and control: new challenges from information technology-enabled feedback control , 2005, IEEE Control Systems.

[17]  Johan Eker,et al.  Design and implementation of a hybrid control strategy , 1999 .

[18]  Konstantinos G. Arvanitis,et al.  Nonlinear robust temperature-humidity control in livestock buildings , 2005 .

[19]  J. Hespanha,et al.  Hybrid systems: Generalized solutions and robust stability , 2004 .

[20]  Claudio De Persis,et al.  n-bit stabilization of n-dimensional nonlinear systems in feedforward form , 2004, IEEE Transactions on Automatic Control.

[21]  Feng Lin,et al.  Synthesis and Viability of Minimally Interventive Legal Controllers for Hybrid Systems , 1998, Discret. Event Dyn. Syst..

[22]  Kevin M. Passino,et al.  Stability of a one-dimensional discrete-time asynchronous swarm , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[23]  Chi Wan Sung,et al.  Robust convergence of low-data rate-distributed controllers , 2004, IEEE Trans. Autom. Control..

[24]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[25]  Luigi Fortuna,et al.  Soft computing for greenhouse climate control , 2000, IEEE Trans. Fuzzy Syst..

[26]  Stanley Burris.  The case =1 , 2000 .

[27]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[28]  Rajnikant V. Patel,et al.  Design of decentralized robust controllers for multizone space heating systems , 1993, IEEE Trans. Control. Syst. Technol..

[29]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[30]  J. Hedrick,et al.  String stability of interconnected systems , 1996, IEEE Trans. Autom. Control..

[31]  Dragan Nesic,et al.  Input-to-state stability of networked control systems , 2004, Autom..

[32]  Alberto Isidori,et al.  Stabilizability by state feedback implies stabilizability by encoded state feedback , 2004, Syst. Control. Lett..

[33]  Konstantinos G. Arvanitis,et al.  A nonlinear feedback technique for greenhouse environmental control , 2003 .

[34]  H. Wong-Toi,et al.  A case study of hybrid controller synthesis of a heating system , 1999, 1999 European Control Conference (ECC).

[35]  Johannes Schumacher,et al.  An Introduction to Hybrid Dynamical Systems, Springer Lecture Notes in Control and Information Sciences 251 , 1999 .

[36]  A. Jadbabaie,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..