On quantized feedback control using model predictive control

This paper addresses quantization of control systems in which the state is quantized via a quantizer. In addition, some constraints imposed on input/output or state are also considered. The resolution of the quantizer is optimized by means of the model predictive control (MPC) to improve the control performance. The effectiveness of the proposed method is verified by some simulations.

[1]  Koichiro Deguchi,et al.  Statistical Characteristics of Biomimetic Image-Based Inverted Pendulum Control Systems Using Just-In-Time Method , 2008, J. Robotics Mechatronics.

[2]  K. T. Tan,et al.  Discrete‐time reference governors and the nonlinear control of systems with state and control constraints , 1995 .

[3]  Ilya Kolmanovsky,et al.  Multimode regulators for systems with state & control constraints and disturbance inputs , 1997 .

[4]  T. A. Badgwell,et al.  An Overview of Industrial Model Predictive Control Technology , 1997 .

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

[6]  K. T. Tan,et al.  Linear systems with state and control constraints: the theory and application of maximal output admissible sets , 1991 .

[7]  Alberto Bemporad,et al.  Control of systems integrating logic, dynamics, and constraints , 1999, Autom..

[8]  Qiang Ling,et al.  Stability of quantized control systems under dynamic bit assignment , 2005, IEEE Transactions on Automatic Control.

[9]  Mayuresh V. Kothare,et al.  An e!cient o"-line formulation of robust model predictive control using linear matrix inequalities (cid:1) , 2003 .

[10]  Daniel Liberzon,et al.  Nonlinear Control with Limited Information , 2009, Commun. Inf. Syst..

[11]  Mamoru Mitsuishi,et al.  A remote surgery experiment between Japan-Korea using the minimally invasive surgical system , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[12]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[13]  R. Brockett,et al.  Systems with finite communication bandwidth constraints. I. State estimation problems , 1997, IEEE Trans. Autom. Control..

[14]  Wing Shing Wong,et al.  Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback , 1999, IEEE Trans. Autom. Control..

[15]  John Baillieul,et al.  Feedback Designs in Information-Based Control , 2002 .

[16]  D. Delchamps Stabilizing a linear system with quantized state feedback , 1990 .

[17]  Daniel Liberzon,et al.  Quantized control via locational optimization , 2002, IEEE Transactions on Automatic Control.

[18]  Shun-ichi Azuma,et al.  Optimal decentralized dynamic quantizers for discrete-valued input control: A closed form solution and experimental evaluation , 2009, 2009 American Control Conference.

[19]  Daniel Liberzon,et al.  Nonlinear feedback systems perturbed by noise: steady-state probability distributions and optimal control , 2000, IEEE Trans. Autom. Control..

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

[21]  R.H. Middleton,et al.  Input disturbance rejection in channel signal-to-noise ratio constrained feedback control , 2008, 2008 American Control Conference.

[22]  Masayuki Fujita,et al.  Analysis of conditions for non-violation of constraints on linear discrete-time systems with exogenous inputs , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.