access icon free Comments on ‘State feedback control design of continuous-time switched affine systems’

This note presents important aspects that should be taken into account in the comparative study on stability conditions of switched affine systems with performance presented in the aforementioned paper. Using a numerical example, it is demonstrated that stability conditions for switched affine systems obtained from a max-type composition to define both the Lyapunov function and switching rule are not necessarily more conservative than the ones obtained from a quadratic Lyapunov function and a min-type composition to define the switching rule.

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

Other keywords: stability conditions; continuous-time switched affine systems; Lyapunov function; max-type composition; state feedback H∞ control design; switching rule

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

References

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      • 1. Deaecto, G.S., Santos, G.C.: ‘State feedback H control design of continuous-time switched affine systems’, IET Control Theory Appl., 2015, 9, (10), pp. 15111516.
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      • 4. Scharlau, C.C., de Oliveira, M.C., Trofino, A., et al: ‘Switching rule design for affine switched systems using a max-type composition rule’, Syst. Control Lett., 2014, 68, pp. 18.
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      • 2. Trofino, A., Scharlau, C.C., Dezuo, T.J.M., et al: ‘Switching rule design for affine switched systems with H performance’. Proc. 51st IEEE Conf. Decision and Control, Maui, HI, EUA, 2012, pp. 19231928.
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      • 3. DeCarlo, R.A., Branicky, M.S., Pettersson, S., et al: ‘Perspectives and results on the stability and stabilizability of hybrid systems’, Proc. IEEE, 2000, 88, (7), pp. 10691082.
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