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A Simplified Predictive Control of Constrained Markov Jump System with Mixed Uncertainties

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  • Yanyan Yin
  • Yanqing Liu
  • Hamid R. Karimi

Abstract

A simplified model predictive control algorithm is designed for discrete‐time Markov jump systems with mixed uncertainties. The mixed uncertainties include model polytope uncertainty and partly unknown transition probability. The simplified algorithm involves finite steps. Firstly, in the previous steps, a simplified mode‐dependent predictive controller is presented to drive the state to the neighbor area around the origin. Then the trajectory of states is driven as expected to the origin by the final‐step mode‐independent predictive controller. The computational burden is dramatically cut down and thus it costs less time but has the acceptable dynamic performance. Furthermore, the polyhedron invariant set is utilized to enlarge the initial feasible area. The numerical example is provided to illustrate the efficiency of the developed results.

Suggested Citation

  • Yanyan Yin & Yanqing Liu & Hamid R. Karimi, 2014. "A Simplified Predictive Control of Constrained Markov Jump System with Mixed Uncertainties," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:475808
    DOI: 10.1155/2014/475808
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    Cited by:

    1. Le Wang & Haipeng Pan & Jinfeng Gao & Dongdong Chen, 2014. "Predictive Compensation for Wireless Networked System with Time Delay and Packet Dropout Based on T‐S Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Lutao Liu & Zhilin Liu & Jun Zhang, 2014. "LMI‐Based Model Predictive Control for Underactuated Surface Vessels with Input Constraints," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Juan-Ignacio Latorre-Biel & Emilio Jiménez-Macías & Mercedes Pérez de la Parte & Julio Blanco-Fernández & Eduardo Martínez-Cámara, 2014. "Control of Discrete Event Systems by Means of Discrete Optimization and Disjunctive Colored PNs: Application to Manufacturing Facilities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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