Control of linear systems subject to input constraints : a polynomial approach . Part I { SISO plants
نویسندگان
چکیده
A polynomial approach is pursued for locally stabilizing discrete-time linear systems subject to input constraints. Using the Youla-Ku cera parametrization and the extended Farkas lemma, the problem of guaranteeing closed-loop stability for any initial condition chosen in a given polyhedron of the state-space is formulated as a linear programming feasibility problem. This paper, as the rst of a series of two, collects introductory material and may be regarded as tutorial. For the sake of clarity, only SISO plants and stabilization in given polyhedral regions are considered.
منابع مشابه
Robust Model Predictive Control for a Class of Discrete Nonlinear systems
This paper presents a robust model predictive control scheme for a class of discrete-time nonlinear systems subject to state and input constraints. Each subsystem is composed of a nominal LTI part and an additive uncertain non-linear time-varying function which satisfies a quadratic constraint. Using the dual-mode MPC stability theory, a sufficient condition is constructed for synthesizing the ...
متن کاملPotentials of Evolving Linear Models in Tracking Control Design for Nonlinear Variable Structure Systems
Evolving models have found applications in many real world systems. In this paper, potentials of the Evolving Linear Models (ELMs) in tracking control design for nonlinear variable structure systems are introduced. At first, an ELM is introduced as a dynamic single input, single output (SISO) linear model whose parameters as well as dynamic orders of input and output signals can change through ...
متن کاملControl of linear systems subject to input constraints: a polynomial approach
A polynomial approach is pursued for locally stabilizing discrete-time linear systems subject to input constraints. Using the Youla-Ku cera parametrization and geometric properties of polyhedra and ellipsoids, the problem of simultaneously deriving a stabilizing controller and the corresponding stability region is cast into standard convex optimization problems solved by linear, second-order co...
متن کاملA Linear Matrix Inequality (LMI) Approach to Robust Model Predictive Control (RMPC) Design in Nonlinear Uncertain Systems Subjected to Control Input Constraint
In this paper, a robust model predictive control (MPC) algorithm is addressed for nonlinear uncertain systems in presence of the control input constraint. For achieving this goal, firstly, the additive and polytopic uncertainties are formulated in the nonlinear uncertain systems. Then, the control policy can be demonstrated as a state feedback control law in order to minimize a given cost funct...
متن کاملAn Anti-Windup Input-Output Linearization Scheme for SISO Systems
A control synthesis scheme for the feedback linearization of single-input single-output nonlinear systems subject to constraints is presented. The approach requires an external, statedependent saturation element, which translates the actuator bounds to the feedback linearizing control input. Thus the \linearizing" properties of the di erential geometric controller are preserved, and a linear an...
متن کامل