# Modified Hybrid Evolutionary Strategies Method for Termination Control Problem with Relay Actuator

### Ivan Ryzhikov, Eugene Semenkin

#### Abstract

The termination control problem, i.e., the problem with finite time and relay control function, is considered. The proposed approach fits different control problems, e.g., problems with the fixed or free time, problems with the set-up actuator characteristics and problems where the actuator can be tuned. The considered system is the nonlinear dynamic one and the number of relay switch points assumed to be tuned indirectly. To find out the solution of the given problem, the modified evolution strategies method is suggested. The proposed approach is useful also for the non-analytical system models and systems that can be evaluated numerically.

#### References

- Aida-zade Kamil Rajab, Anar Beybala Rahimov, 2010. Relay Control of Nonlinear System with Uncertain Values of Parameters. Journal of Automation and Information Sciences. Volume 42 / Issue 7.
- Cash J. R., Mazzia F., 2006. Hybrid Mesh Selection Algorithms Based on Conditioning for Two-Point Boundary Value Problems. Journal of Numerical Analysis, Industrial and Applied Mathematics Vol 1, No 1, pp 81-90.
- Kucherov D.P., Vasilenko A.V., Ivanov B.P., 2009. Dynamic system with derivative element adaptive terminal control algorithm. Automatics. Automatization. Electronical complexes and systems. No 23, pp166-171.
- Tewari Ashish, 2011. Advanced Control of Aircraft, Spacecraft and Rockets, John Wiley and Sons.
- Schwefel Hans-Paul, 1995. Evolution and Optimum Seeking. New York: Wiley & Sons.

#### Paper Citation

#### in Harvard Style

Ryzhikov I. and Semenkin E. (2012). **Modified Hybrid Evolutionary Strategies Method for Termination Control Problem with Relay Actuator** . In *Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-8565-21-1, pages 333-337. DOI: 10.5220/0004044403330337

#### in Bibtex Style

@conference{icinco12,

author={Ivan Ryzhikov and Eugene Semenkin},

title={Modified Hybrid Evolutionary Strategies Method for Termination Control Problem with Relay Actuator},

booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2012},

pages={333-337},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0004044403330337},

isbn={978-989-8565-21-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - Modified Hybrid Evolutionary Strategies Method for Termination Control Problem with Relay Actuator

SN - 978-989-8565-21-1

AU - Ryzhikov I.

AU - Semenkin E.

PY - 2012

SP - 333

EP - 337

DO - 10.5220/0004044403330337