Robust extended dissipative control for sampled-data Markov jump systems

Title
Robust extended dissipative control for sampled-data Markov jump systems
Author(s)
박주현심호L. Zhang[L. Zhang]Z.G. Wu[Z.G. Wu]
Keywords
TIME-VARYING DELAYS; H-INFINITY CONTROL; LINEAR-SYSTEMS; TRANSITION-PROBABILITIES; STOCHASTIC-SYSTEMS; EXPONENTIAL STABILITY; MODEL-REDUCTION; FAULT-DETECTION; STABILIZATION; PARAMETERS
Issue Date
201408
Publisher
TAYLOR & FRANCIS LTD
Citation
INTERNATIONAL JOURNAL OF CONTROL, v.87, no.8, pp.1549 - 1564
Abstract
This paper investigates the problem of the sampled-data extended dissipative control for uncertain Markov jump systems. The systems considered are transformed into Markov jump systems with polytopic uncertainties and sawtooth delays by using an input delay approach. The focus is on the design of a mode-independent sampled-data controller such that the resulting closed-loop system is mean-square exponentially stable with a given decay rate and extended dissipative. A novel exponential stability criterion and an extended dissipativty condition are established by proposing a new integral inequality. The reduced conservatism of the criteria is demonstrated by two numerical examples. Furthermore, a sufficient condition for the existence of a desired mode-independent sampled-data controller is obtained by solving a convex optimisation problem. Finally, a resistance, inductance and capacitance (RLC) series circuit is employed to illustrate the effectiveness of the proposed approach.
URI
http://hdl.handle.net/YU.REPOSITORY/31343http://dx.doi.org/10.1080/00207179.2013.878478
ISSN
0020-7179
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공과대학 > 전기공학과 > Articles
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