By Jing Zhou, Changyun Wen
From the reviews:
"‘The publication is beneficial to benefit and comprehend the basic backstepping schemes’. it may be used as an extra textbook on adaptive keep an eye on for complicated scholars. regulate researchers, specifically these operating in adaptive nonlinear keep an eye on, also will commonly reap the benefits of this book." (Jacek Kabzinski, Mathematical reports, factor 2009 b)
Read Online or Download Adaptive backstepping control of uncertain systems: Nonsmooth nonlinearities, interactions or time-variations PDF
Best system theory books
With energetic keep an eye on of buildings , worldwide pioneers current the state of the art within the concept, layout and alertness of energetic vibration keep an eye on. because the call for for prime functionality structural structures raises, so will the call for for info and innovation in structural vibration keep an eye on; this ebook offers a good treatise of the topic that may meet this requirement.
This moment variation of Dissipative structures research and keep watch over has been considerably reorganized to deal with new fabric and increase its pedagogical beneficial properties. It examines linear and nonlinear platforms with examples of either in each one bankruptcy. additionally integrated are a few infinite-dimensional and nonsmooth examples.
Within the final ten years, a real explosion of investigations into fuzzy modeling and its functions on top of things, diagnostics, choice making, optimization, trend attractiveness, robotics, and so on. has been saw. The appeal of fuzzy modeling effects from its intelligibility and the excessive effectiveness of the versions acquired.
This ebook provides a accomplished description of the configuration of units and community for the S7-400 parts contained in the engineering framework TIA Portal. You the way to formulate and try a regulate software with the programming languages LAD, FBD, STL, and SCL. The ebook is rounded off via configuring the dispensed I/O with PROFIBUS DP and PROFINET IO utilizing SIMATIC S7-400 and knowledge trade through commercial Ethernet.
- Code Design for Dependable Systems: Theory and Practical Applications
- Mutational Analysis: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces
- The Mathematics of Networks of Linear Systems
- Flexible Neuro-fuzzy Systems: Structures, Learning and Performance Evaluation
Additional resources for Adaptive backstepping control of uncertain systems: Nonsmooth nonlinearities, interactions or time-variations
Assumption 1. The uncertain parameter vector θ is inside a compact set Ωθ , where θ = [bm (t), . . , b0 (t), θa1 (t), . . , θan (t)]T . In addition, there exists an unknown bounded positive constant q so that θ˙ ≤ q. Also q is inside a compact intervals Ωq = [I − , I + ] and bm (t) = 0, ∀t. Assumption 2. The relative degree ρ is ﬁxed and known. Assumption 3. The reference signal yr and its (ρ − 1)th order derivatives are assumed to be known and bounded. Assumption 4. The system is minimum phase.
A1 p + A0 m N (p) = Bm p + . . + B1 p + B0 ⎡ ⎤ ⎤ ⎤ ⎡ ⎡ −Av−1 Ir 0 . . 0 ⎢ ⎥ 0 Bm ⎢ ⎥ ⎥ ⎥ ⎢ ⎢ ⎢ −Av−2 0 Ir . . 0 ⎥ ⎢ .. ⎥ ⎢ .. ⎥ ⎢ ⎥ ⎥ ⎢ ⎢ . ⎥ . ⎥ .. .. . ⎥ ⎢ ⎥ Ag = ⎢ , Bp = ⎢ . ⎥ , Bg = ⎢ . . ⎥ ⎥ ⎢ ⎢ ⎢ ⎥ ⎢ 0 ⎥ ⎢ B1 ⎥ ⎢ ⎥ ⎦ ⎦ ⎣ ⎣ ⎢ −A1 0 0 . . Ir ⎥ ⎣ ⎦ B0 Bp −A0 0 0 . . 0 Cg = [Ir 0 . . 4) where v is the observability index of G(p), rv = n, Ir is the r × r identity matrix, and Ai ∈ Rr×r , i = 0, . . , v − 1, and Bj ∈ Rr×r , j = 0, . . , m, m ≤ v − 1 are matrices. 5) Bp y = Cg x where x ∈ Rn is the system state, A ∈ Rn×n is the matrix Ag with the ﬁrst r columns equal to zero, Ap ∈ Rn×r are the ﬁrst r columns of Ag and BP Problem Formulation 53 ¯ ∈ R(m+1)r×r , d(t) = [0 Bp ]T d(t) = [dT1 , .
To handle the disturbances, well deﬁned functions are introduced to eliminate their eﬀects in the Lyapunov functions employed in the recursive design steps. To deal with the time variation problem, an estimator is used to estimate the bound of the variation rates. Furthermore, the overparamterization problem is also solved by using the concept of tuning functions. As projection operation is used, the design of tuning functions are diﬀerent from existing schemes. With our proposed controller, system stability can be ensured.
Adaptive backstepping control of uncertain systems: Nonsmooth nonlinearities, interactions or time-variations by Jing Zhou, Changyun Wen