Linear time-invariant control problems with perturbations

Linear Time-Invariant Systems with Discrete Time

Haar Matrix Equations for Solving Time-Variant Linear-Quadratic Optimal Control Problems

‎In this paper‎, ‎Haar wavelets are performed for solving continuous time-variant linear-quadratic optimal control problems‎. ‎Firstly‎, ‎using necessary conditions for optimality‎, ‎the problem is changed into a two-boundary value problem (TBVP)‎. ‎Next‎, ‎Haar wavelets are applied for converting the TBVP‎, ‎as a system of differential equations‎, ‎in to a system of matrix algebraic equations‎...

On Robust Stability with Structured Time-Invariant Perturbations

We consider the problem of robust stability for uncertain systems described in terms of multiple scalar structured time-invariant perturbations, which are norm bounded. The issue we address is the role that the type of perturbation norm plays in the robust stability conditions. To this end, the L p-induced norms (for 1 p 1) on the perturbations are considered, and some simple relations between ...

Linear Time-invariant Systems

control scheme, in which different time scales for the rigid body subsystem dynamics and for the flexible dynamics are used (Canudas de Wit et al., 1996). An application of the two-time scale method is shown, for example, in Kang, Yeung, and Mills (2002). In summary, the aim of the authors to provide an upperlevel undergraduate and graduate textbook and a reference for experienced professionals...

Time-Invariant State Feedback Control Laws for a Special Form of Underactuated Nonlinear Systems Using Linear State Bisection

Linear state bisection is introduced as a new method to find time-invariant state feedback control laws for a special form of underactuated nonlinear systems. The specialty of the systems considered is that every unactuated state should be coupled with at least two directly actuated states. The basic idea is based on bisecting actuated states and using linear combinations with adjustable parame...