Robust LQ control for harmonic reference/disturbance signals
Proceedings of the IEEE Conference on Decision and Control
Institute of Electrical and Electronics Engineers
3727 - 3732
Item Usage Stats
MetadataShow full item record
Linear Quadratic (LQ) controller design is considered for continuous-time systems with harmonic signals of known frequencies and it is shown that the design is reducible to an interpolation problem. All LQ optimal loops are parametrized by a particular solution of this interpolation problem and a (free) stable/proper transfer function. The appropriate choice of this free parameter for optimal stability robustness is formulated as a multiobjective design problem and reduced to a Nevanlinna-Pick interpolation problem with some interpolation points on the boundary of the stability domain. Using a related result from the literature, it is finally shown that, if there is sufficient penalization on the power of the control input, the level of optimum stability robustness achievable with LQ optimal controllers is the same as the level of optimum stability robustness achievable by arbitrary stabilizing controllers.
Control system synthesis
Optimal control systems
Robustness (control systems)
Linear quadratic control
Linear time invariant systems
Linear control systems
Permalink (Please cite this version)http://hdl.handle.net/11693/27631
Showing items related by title, author, creator and subject.
Abidi, K.; Yildiz, Y. (IFAC Secretariat, 2015)In this paper, we present the discrete version of the Adaptive Posicast Controller (APC) that deals with parametric uncertainties in systems with input time-delays. The continuous-time APC is based on the Smith Predictor ...
Morgül, Ö. (Institute of Electrical and Electronics Engineers Inc., 2003)We will consider model based anticontrol of chaotic systems. We consider both continuous and discrete time cases. We first assume that the systems to be controlled are linear and time invariant. Under controllability ...
Özbay H.; Gündeş, A.N. (2006)Recently (Gündeş et al., 2006) obtained stabilizing PID controllers for a class of MIMO unstable plants with time delays in the input and output channels (I/O delays). Using this approach, for plants with one unstable pole, ...