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A new approach to stability analysis for constrained finite receding horizon control without end constraints (1997).
| Content Provider | CiteSeerX |
|---|---|
| Author | Primbs, James A. Nevistic, Vesna |
| Abstract | We present a new approach to the stability analysis of finite receding horizon control applied to constrained linear systems. By relating the final predicted state to the current state through a bound on the terminal cost, it is shown that knowledge of upper and lower bounds for the finite horizon costs are sufficient to determine the stability of a receding horizon controller. This analysis is valid for receding horizon schemes with arbitrary positive-definite terminal weights, and does not rely on the use of stabilizing constraints. The result is a computable test for stability, and two simple examples are used to illustrate its application. Keywords: predictive control, constrained systems, linear systems, discrete time. 1 Introduction Receding horizon control (RHC), also known as model predictive control (MPC) [8], is an on-line technique in which a new control action is computed at each time step by solving a finite horizon optimization problem that extends from the current time ... |
| File Format | |
| Publisher Date | 1997-01-01 |
| Access Restriction | Open |
| Subject Keyword | New Approach Stability Analysis End Constraint Constrained Finite Receding Horizon Control Terminal Cost Horizon Scheme Current Time Computable Test Linear System Introduction Receding Horizon Control Horizon Controller Model Predictive Control Arbitrary Positive-definite Terminal Weight Horizon Control Simple Example Constrained Linear System Time Step Finite Horizon Cost On-line Technique Predictive Control Discrete Time Current State Finite Horizon Optimization Problem New Control Action |
| Content Type | Text |