In the past few years, control of Linear Parameter Varying Systems (LPV) has been the object of considerable attention, as a way of formalizing the intuitively appealing idea of gain scheduling control for nonlinear systems. However, currently available LPV techniques are both computationally demanding and (potentially) very conservative. In this chapter we propose to address these difficulties by combining Receding Horizon and Control Lyapunov Functions techniques in a risk–adjusted framework. The resulting controllers are guaranteed to stabilize the plant and have computational complexity that increases polynomially, rather than exponentially, with the prediction horizon.
|Title of host publication||Advanced strategies in control systems with input and output constraints|
|Editors||S. Tarbouriech, A.H. Glattfelder, G. Garcia|
|Place of Publication||Berlin|
|Publication status||Published - 2006|
|Name||Lecture notes in control and information sciences|
Sznaier, M., Lagoa, C., Li, X., & Stoorvogel, A. A. (2006). Risk adjusted receding horizon control of constrained linear parameter varying systems. In S. Tarbouriech, A. H. Glattfelder, & G. Garcia (Eds.), Advanced strategies in control systems with input and output constraints (pp. 293-312). (Lecture notes in control and information sciences; Vol. 346). Springer. https://doi.org/10.1007/978-3-540-37010-9_10