Switching LPV control designs using multiple parameter-dependent Lyapunov functions

A switching control approach to stabilization of parameter varying time delay systems

“…We refer to [24] for a general review on gain scheduling control methods. Additional gain scheduling design examples can be found in [1], [20]. Alternatively, the switching control method offers a new look into the design of complex control systems (e.g.…”

“…Many time varying time delay systems can be described as parameter varying systems where the system parameters are scheduled along a measurable parameter trajectory [20], [24], [27]. An example of parameter varying time delay systems is the data congestion control model for TCP networks, where all the parameters of the dynamical model, including the time delay RT T (round trip time), are dependent on instantaneous queue length at the bottleneck network node [14], [28].…”

Switching LPV control design with MDADT and its application to a morphing aircraft

“…However, for an LPV system with a large parameter variation range, a single Lyapunov function, quadratic or parameter-dependent, may not exist, even if it does exist, it is often necessary to sacrifice the performance in some parameter subregions in order to obtain a single LPV controller over the entire parameter region. In such a case, the concept of switching LPV system, by generalizing the switched LTI systems to LPV ones, is put forward [9,12,13,21]. In Ref.…”

Stabilizing switching laws for switched LPV systems with all unstable subsystems

“…In the literature, some of the few existing studies investigate the switched LPV systems where a switching signal is determined according to the varying parameter [1][2][3][4][5][6][7][8]. That is, a solution is sought such that when parameters are in different parameter subsets a switching signal invokes different modes operation into [2,3].…”

“…It should be noted, a considerable number of practical plant systems can be modeled as switched LPV systems, namely, such as missiles [1], aircrafts [2,3,4], air-flow path systems of diesel engines [5], and wind turbines [6]. To date, however, not too many approaches and methods for the analysis and design of switched LPV systems have been developed [2,7,8]. For stabilization control synthesis of switched systems, in general, there have been employed various switching based techniques such as arbitrary [9,10,14,15], average dwell-time [8,11,14,15], and hysteresis based switching [12,14,15].…”