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Gain-Scheduling of Minimax Optimal State-Feedback Controllers for Uncertain LPV Systems

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3 Author(s)
Myung-Gon Yoon ; Dept. of Precision Mech. Eng., Kangnung Nat. Univ. ; Ugrinovskii, V.A. ; Pszczel, M.

A new robust control gain-scheduling scheme for uncertain linear parameter-varying (LPV) systems is proposed. The gain-scheduled controller consists of a set of minimax optimal robust controllers and incorporates a new interpolation rule to achieve continuity of the controller gain over a range of operating conditions. For every fixed system parameter, the proposed controller guarantees a certain bound on the worst-case performance of the corresponding uncertain closed loop system. Furthermore, a bound on the rate of parameter variations is obtained under which the closed loop LPV system is robustly stable

Published in:

Automatic Control, IEEE Transactions on  (Volume:52 ,  Issue: 2 )