Gain-scheduling control of LFT systems using parameter-dependent Lyapunov functions

In this paper, we propose a new control design approach for linear fractional transformation (LFT) systems using parameter-dependent Lyapunov functions. Instead of designing a controller with LFT parameter dependency, we consider general parameter-dependent controllers to achieve better closed-loop performance. Using full-block multipliers, new LPV synthesis conditions have been derived in terms of finite number of LMIs. A ship steering example has been used to demonstrate advantages and benefits of the proposed approach.