access icon free State feedback ℋ∞ control design of continuous-time switched affine systems

© The Institution of Engineering and Technology
Received 12/02/2014, Accepted 26/11/2014, Revised 26/10/2014, Published 29/04/2015

This study deals with state feedback ℋ∞ control design of continuous-time switched affine systems. The main purpose is to design a set of state feedback gains together with a switching function assuring global asymptotic stability of a desired equilibrium point. The equilibrium point belongs to a set of attainable ones to be determined. Moreover, the control design must take into account a pre-specified upper bound to the ℒ2 gain from the external input to the controlled output. Two different switching functions are proposed and discussed. The first one depends only on the state and the other depends also on the external input. The results are compared with recent ones available in the literature to date, as for instance, those based on a max-type Lyapunov function and those commonly used to assure practical stability. Numerical examples illustrate the theoretical results and are used for comparisons.

Inspec keywords: continuous time systems; state feedback; switching systems (control); control system synthesis; Lyapunov methods; H∞ control; asymptotic stability

Other keywords: global asymptotic stability; continuous-time switched affine systems; max-type Lyapunov function; state feedback ℋ∞ control design; equilibrium point; external input; prespecified upper bound; switching functions

Subjects: Stability in control theory; Control system analysis and synthesis methods; Optimal control; Time-varying control systems

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