In the classic control systems analysis a known difficulty is to determine a transient output response when non-zero (discontinuous) initial conditions are present. This difficulty is overcome by means of the presented input-output jump relations. For a system with order n and relative degree r = n - m, these relations relate the jump discontinuities of the input and its derivatives up to the order m - 1 to the jump discontinuities of the output and its derivatives up to the order n - 1. A simplified behavior theory is used in deducing these straightforward relations. A simple, complete solution to the initial conditions problem that uses neither generalized derivatives nor ad hoc assumptions is then presented. A detailed example illustrating this solution is included. Copyright (C) 2019. The Authors. Published by Elsevier Ltd. All rights reserved.

Input-Output Jumps of Scalar Linear Systems / Kavaja, Juxhino; Piazzi, Aurelio. - 52:17(2019), pp. 13-18. ((Intervento presentato al convegno The 7th IFAC Symposium on System Structure and Control nel 9-11 September 2019 [10.1016/j.ifacol.2019.11.019].

Input-Output Jumps of Scalar Linear Systems

Kavaja, Juxhino;Piazzi, Aurelio
2019

Abstract

In the classic control systems analysis a known difficulty is to determine a transient output response when non-zero (discontinuous) initial conditions are present. This difficulty is overcome by means of the presented input-output jump relations. For a system with order n and relative degree r = n - m, these relations relate the jump discontinuities of the input and its derivatives up to the order m - 1 to the jump discontinuities of the output and its derivatives up to the order n - 1. A simplified behavior theory is used in deducing these straightforward relations. A simple, complete solution to the initial conditions problem that uses neither generalized derivatives nor ad hoc assumptions is then presented. A detailed example illustrating this solution is included. Copyright (C) 2019. The Authors. Published by Elsevier Ltd. All rights reserved.
Input-Output Jumps of Scalar Linear Systems / Kavaja, Juxhino; Piazzi, Aurelio. - 52:17(2019), pp. 13-18. ((Intervento presentato al convegno The 7th IFAC Symposium on System Structure and Control nel 9-11 September 2019 [10.1016/j.ifacol.2019.11.019].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2868726
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