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Simplified Rapid Switching Gain Scheduling for a Class of LPV Systems

机译:一类LPV系统的简化快速开关增益调度

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摘要

A limitation of the original gain-scheduling approaches is that the closed-loop stability can only be assured when the underlying parameters vary sufficiently slowly. A remedy exists but requires for its implementation the possible solution of asymptotic Riccati equations (ARE) for an infinite number of different parameter values, and the on-line solution of a Riccati differential equation (RDE) with time-varying coefficient matrices. Our method avoids solving the RDE online and instead uses an explicit transient formula that looks up the predetermined solutions of the associated AREs at a finite set of given system operating points. Furthermore, only a finite number of AREs are solved to determine a finite set of controller gains.
机译:原始增益调度方法的局限性在于,只有当基础参数变化足够缓慢时,才能确保闭环稳定性。存在一种补救措施,但需要为无穷多个不同参数值的渐近Riccati方程(ARE)实施可能的解决方案,以及具有时变系数矩阵的Riccati微分方程(RDE)的在线解决方案。我们的方法避免在线求解RDE,而是使用一个显式的瞬态公式,该公式在给定系统操作点的有限集合处查找关联ARE的预定解决方案。此外,仅求解有限数量的ARE,以确定一组有限的控制器增益。

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