Read e-book online Analysis and Synthesis of Positive Systems Under ℓ1 and L1 PDF

By Xiaoming Chen

ISBN-10: 9811022267

ISBN-13: 9789811022265

ISBN-10: 9811022275

ISBN-13: 9789811022272

This thesis introduces novel and important effects concerning the research and synthesis of confident platforms, in particular less than l1 and L1 functionality. It describes balance research, controller synthesis, and bounding positivity-preserving observer and filtering layout for various either discrete and non-stop optimistic systems.

It as a consequence derives computationally effective ideas according to linear programming when it comes to matrix inequalities, in addition to a few analytical suggestions got for distinct circumstances. The thesis applies more than a few novel ways and primary thoughts to the extra examine of confident platforms, therefore contributing considerably to the speculation of optimistic platforms, a “hot subject” within the box of keep watch over.

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Extra info for Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance

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Automatica 49:1377–1385 Chapter 3 L 1 -Induced Output-Feedback Controller Synthesis for Interval Positive Systems This chapter is concerned with the design of L 1 -induced output-feedback controller for continuous-time positive systems with interval uncertainties. A necessary and sufficient condition for stability and L 1 -induced performance of positive linear systems is proposed in terms of linear inequalities. Based on this, conditions for the existence of robust static output-feedback controllers are established and an iterative convex optimization approach is developed to solve the conditions.

Controller Design for Positive Systems ⎡ ⎤ d1 ⎢ d2 ⎥ ⎢ ⎥ D = d = ⎢ . ⎥, ⎣ .. ⎦ bn dr ¯ n+ and d ∈ R ¯ r+ . In this case, K is a row vector given by where b ∈ R K = k1 k2 . . kn . We will show in the following theorem that for SIMO systems, the optimal K can be computed analytically. Moreover, if such an optimal K gives an asymptotically stable closed-loop system, it achieves the minimal performance level γ ∗ and the closed-loop system has the fastest convergence rate. 4 For an SIMO system with b = 0, the optimal K such that the elements of A + bK ≥≥ 0 and C + d K ≥≥ 0 are jointly minimized is given by K ∗ = k1∗ k2∗ .

Automatica 49:1377–1385 Chapter 3 L 1 -Induced Output-Feedback Controller Synthesis for Interval Positive Systems This chapter is concerned with the design of L 1 -induced output-feedback controller for continuous-time positive systems with interval uncertainties. A necessary and sufficient condition for stability and L 1 -induced performance of positive linear systems is proposed in terms of linear inequalities. Based on this, conditions for the existence of robust static output-feedback controllers are established and an iterative convex optimization approach is developed to solve the conditions.

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Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance by Xiaoming Chen


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